Nezam Mahdavi-Amiri

Email: nezamm[at]sharif[dot]edu
Tel: +98-21- 66165607
Fax: +98-21-66005117

Research

  • Theses
    • 1) Generally Constrained Nonlinear Least Squares and Generating Nonlinear Programming Test Problems: Algorithmic Approach, Ph.D. Dissertation (Advisor: Richard H. Bartels), Department of Mathematical Sciences, Johns Hopkins University, Baltimore, Maryland, October 1981.
      2) Rosenbrock's Method for Unconstrained Nonlinear Minimization and its Modification for General Goal Programming (Design and Implementation), Master's Paper (Advisor: Webb Miller), Computer
      Science Department, Pennsylvania State University, University Park, Pennsylvania, August 1976
  • Ph.D. Theses Supervised
    • 23. Algorithms for solving fuzzy linear and quadratic problems directly and duality results for bipolar fuzzy optimization problems, Ph.D. Dissertation by Khatere Ghorbani-Moghadam (in Persian), 102 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, February 2019.

      22. Supply chain network design by multi-level programming under uncertainty, (Joint Advisor: Iraj Mahdavi), Ph.D. Dissertation by Raheleh Nourifar (in Persian), 182 Pages, Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran, September 2018.

      21. Some duality results in multiple objective linear and nonlinear programming and a nonmonotone quasi-Newton algorithm for unconstrained multiple objective optimization, Ph.D. Dissertation by Farnaz Salehi Sadaghiani (in Persian), 79 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, October 2017.

      20. New EIV models for solving positive definite and positive semidefinite linear systems with application to computing positive definite solutions of nonlinear matrix equations, Ph.D. Dissertation by Negin Bagherpour (in Persian), 91 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, September  2015.

      19. Interval type-2 fuzzy sets with application to decision making, (Joint Advisor: Iraj Mahdavi), Ph.D. Dissertation by Armaghan Heidarzade (in Persian), 130 Pages, Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran, fall 2015.

      18. Mathematical programming model for location-allocation-routing problem in transportation network with population-dependent deterministic or probabilistic travel times, (Joint Advisor: Iraj Mahdavi), Ph.D. Dissertation by Saber Shiripour (in Persian), 213 Pages, Department of Industrial Engineering, Mazan- daran University of Science and Technology, Babol, Iran, summer 2015.

      17. A multi-objective optimization model for web-based convergent product networks using the Steiner tree, (Joint Advisor: Iraj Mahdavi), Ph.D. Dissertation by Reza Hassanzadeh (in Persian), 157 Pages, Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran, summer 2014.

      16. Evaluating reliability of a stochastic-flow network in terms of all up- per and lower boundary points, Ph.D. Dissertation by Majid Forghan-elahabad (in Persian), 106 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, April 2014.

      15. Superlinear exact penalty algorithms with structured projected hessian updates in broyden’s family for constrained nonlinear least squares, Ph.D. Dissertation by Narges Bidabadi, 87 Pages (in Persian), Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, June 2012.

      14. Superlinearly convergent exact penalty projected structured schemes for constrained nonlinear least squares, ph.d. dissertation by Mohammed Reza Ansari (in Persian), 112 Pages, Department of Mathematical Sciences, Sharif Univer- sity of Technology, Tehran, Iran, April 2012.

      13. Extended rank reduction formula and its application to real and integer matrix factorizations, Ph.D. Dissertation by E. Golpar-Raboky (in Persian), 130 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, October 2011.

      12. Design and analysis of filter trust-region algorithms for unconstrained and bound constrained optimization, Ph.D. Dissertation by M. Fatemi (in Persian), 94 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, September 2011.

      11. Shortest path problem in networks with mixed fuzzy arcs, (Joint Advisor: Iraj Mahdavi) Ph.D. Dissertation by Ali Tajdin (in Persian), 119 Pages, Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran, Spring 2010.

      10. New conjugate gradient methods for unconstrained optimization, Ph.D. Dissertation by S. Babaie-Kafaki (in Persian), 101 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, Summer 2010.

      9. Modeling and effective algorithms for fuzzy linear systems of equations and a class of fuzzy location problems, Ph.D. Dissertation by R. Ghanbari (in Persian), 93 Pages, Department of Mathematical Sciences, Sharif University of Tech- nology, Tehran, Iran, January 2010.

      8. Practical ABS approaches for linear diophantine systems and sparse null space basis, Ph.D. Dissertation by S.M. Khorramizadeh (in Persian), 88 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, January 2010.

      7. Minimization of nonconvex locally lipschitz functions using mollifier sub- differentials and uniform approximations of generalized second order derivatives, Ph.D. Dissertation by R. Yousefpour (in Persian), 80 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, July 2009.

      6. Duality on fuzzy linear programming problems by use of ranking functions, Ph.D. Dissertation by S.H. Nasseri (in Persian), 105 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, November  2007.

      5. Two new proximity functions for feasible interior point methods and a show of an ill-behaved central path, Ph.D. Dissertation by M.R. Peyghami (in Persian), 116 Pages, Department of Mathematical Sciences, Sharif University of Tech- nology, Tehran, Iran, September 2005.

      4. An efficient algorithm for solving real or diophantine linear systems after a rank one perturbation and two efficient algorithms for solving linear systems by use of rank two updates, Ph.D. Dissertation by K. Amini, (in Persian), 112 pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, June 2004.

      3. Solving Diophantine systems, real and integer inequalities, linear and in- teger programs on cones based on ABS class of algorithms, Ph.D. Dissertation by H. Esmaeili, (in Persian), 87 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, October 2000.

      2. A proof for broyden’s algorithms belonging to abs class of algorithms and presentation of effective new abs-type methods for solving linear systems, Ph.D. Dissertation by M. Adib (in Persian), 101 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, September  2000.

      1. Multiresolution in computer graphics, Ph.D. Dissertation by F.F. Samavati (in Persian), 150 Pages, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, April 1999. (Selected as the Best Ph.D. Thesis in Basic Sciences in Iran by The First Kharazmi International Competitions, November 1999.)

       
  • Master’s Theses

    • Over 210 Master’s Theses in Applied Mathematics, Computer Science and Industrial Engineering have been supervised.
  • Refereed Journal Publications
    • 202. N. Moradi and N. Mahdavi-Amiri, Kernel sparse representation based model for skin lesions segmentation and classification, Computer Methods and Programs in Biomedicine, to appear.

      201. M. Forghani-elahabad, N. Kagan and N. Mahdavi-Amiri, An MP-based approximation algorithm on reliability evaluation of multistate flow networks, Reliability Engineering and System Safety, to appear.

      200. N. Mahdavi-Amiri and M. Shaeiri, A conjugate gradient sampling method for nonsmooth optimization, 4OR: A Quarterly Journal of Operations Resaerch, to appear.

      199. E. Golpar-Raboky and N. Mahdavi-Amiri, Rank reduction processes for solving linear Diophantine systems and integer factorizations: a review, Bulletin of the Iranian Mathematical Society, to appear.

      198. A. Sadeghi, M. Saraj and N. Mahdavi-Amiri, Solving A Fractional Program with Second Order Cone Constraint, Iranian Journal of Mathematical Sciences and Informatics, to appear.

      197. M. M. Karkhaneei and N. Mahdavi-Amiri, Nonconvex Weak Sharp Minima on Riemannian Manifolds, Journal of Optimization Theory and Applications, to appear.

      196. R. Ghanbari, Kh. Ghorbani-Moghadam and N. Mahdavi-Amiri, Fuzzy Linear Programming Problems: Models and Solutions, Soft Computing, to appear.

      195. S. Asadi, H. Mansour, Z. Darvay, M. Zangiabadi and N. Mahdavi-Amiri, LargeNeighborhood Infeasible PredictorCorrector Algorithm for Horizontal Linear Complementarity Problems over Cartesian Product of Symmetric Cones, Journal of Optimization Theory and Applications 180 (2019) 811-829.

      194. Z. Ordolalo, E. Golpar Raboky and N. Mahdavi-Amiri, Tensor rank and best low rank approximation problem, (in Persian), Farhang-va-Andishehe Riazi (Mathematical Thought and Culture), to appear.

      193. A. Sadeghi, M. Saraj and N. Mahdavi-Amiri, Efficient solutions of interval programming problems with inexact parameters and second order cone constraints, Mathematics 6(11) (2018) 1-13; doi:10.3390/math6110270.

      192. R. Ghanbari, Kh. Ghorbani-Moghadam and N. Mahdavi-Amiri, A variables neighborhood search algorithm for solving fuzzy quadratic programming problems using modified Kerre’s method, Soft Computing, 2019, https://doi.org/10.1007/s00500- 019-03771-4.

      191. R. Nourifar, I. Mahdavi, N. Mahdavi-Amiri and M. M. Paydar, Mathematical modelling of a decentralized multi-echelon supply chain network considering service level under uncertainty, Scientia Iranica, to  appear.

      190.   S. Shiripour and N. Mahdavi-Amiri,  Optimal Distribution of the Injured in    a Multi-Type Transportation Network with Damage-Dependent Travel Times: Two Metaheuristic Approaches, Socio-Economic Planning Sciences, doi.org/10.1016/j- seps-2018-10-011.

      189. M. Torkinejad, I. Mahdavi, N. Mahdavi-Amiri and M. Seyed Esfahani, Topology Design and Component Selection in an Urban Gas Network: Simultaneous Optimiza- tion Approach, Journal of Pipeline Systems Engineering and Practice, Vol. 10, Issue 1, 2019, https://doi.org/10.1061/(ASCE)PS.1949-1204.0000359.

      188. S. Asadi, H. Mansouri, Z. Darvay, M. Zangiabadi and N. Mahdavi-Amiri, Largeneighborhood infeasible predictor-corrector algorithm for horizontal linear complementarity problems over Cartesian product of symmetric cones, Journal of Optimization Theory and Applications 180(3) (2019) 811-829.

      187. R. Dehghani and N. Mahdavi-Amiri, Scaled nonlinear conjugate gradient methods for nonlinear least squares problems, Numerical Algorithms, doi.org/10.1007/s11075- 018-0591-2.

      186. R. Ghanbari, Kh. Ghorbani-Moghadam and N. Mahdavi-Amiri, A variable neigh- borhood search algorithm for solving fuzzy number linear programming problems using modified Kerre’s method, IEEE Transactions on Fuzzy Systems 27(6) (2019) 1286-1294.

      185. M. Moshtagh, J. Fathali, J. MacGregor Smith and N. Mahdavi-Amiri, Finding an optimal core on a tree network with M/G/c/c state-dependent queues, Mathematical Methods of Operations Research 89(1) (2019)  115-142.

      184. S. Shiripour and N. Mahdavi-Amiri, Bi-objective location problem with balanced allocation of customers and Bernoulli demands: two solution approaches, Soft Computing 23(13) (2019) 4999-5018.

      183. M. Forghani-elahabad, N. Mahdavi-Amiri and N. Kagan, On multi-state two separate minimal paths reliability problem with time and budget constraints, International Journal of Operational Research, to appear.

      182. R. Ghanbari, Kh. Ghorbani-Moghadam and N. Mahdavi-Amiri, A direct method to compare bipolar LR fuzzy numbers, Advances in Fuzzy Systems, to appear, doi:10.1155/2018/9578270.

      181. M. Divsalar, R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, Capacity of Mixed Urban Road Networks, Network Configuration and Signal Settings, Chapter in book: Intelligent Transportation and Planning: Breakthroughs in Research and Practice, IGI Global, pp. 883-906, 2018.

      180. N. Bagherpour and N. Mahdavi-Amiri, A competitive error in variables ap- proach and algorithms for finding positive definite solution of linear systems of matrix equations, paper in book: Numerical Analysis and Optimization, M. Alaali, L. Grandinetti and A. Purnama (editors), Springer, pp. 45-66, 2018.

      179. R. Nourifar, I. Mahdavi, N. Mahdavi-Amiri and M. M. Paydar, Optimizing decentralized productiondistribution planning problem in a multi-period supply chain network under uncertainty, Journal of Industrial Engineering International 14(2) (2018) 367-382.

      178. P. Abbasian, N. Mahdavi-Amiri and H. Fazlollahtabar, Multiple utility con- strained multi-objective programs using Bayesian theory, Journal of Industrial Engineering International 18(1) (2018)  111-118.

      177. M. Sayadi Shahraki, H. Mansouri, M. Zangiabadi and N. Mahdavi-Amiri, A wide neighborhood primal-dual predictor-corrector interior-point method for symmetric cone optimization, Numerical Algorithms 78(2) (2018) 535-552.

      176. S. Rajaei, N. Mahdavi-Amiri and S. Shiripour, A mixed-integer nonlinear programming model for the rectilinear distance single facility location problem in the presence of two probabilistic line barriers, Journal of Optimization in   Industrial Engineering, to appear, 13 pages.

      175. R. Hassanzadeh, I. Mahdavi, N. Mahdavi-Amiri and A. Tajdin, An alpha-cut approach for fuzzy product and its use in computing solutions of fully fuzzy linear systems, International Journal of Mathematics in Operational Research 12(2) (2018) 167-189.

      174. N. Mahdavi-Amiri and H. Fazlollahtabar, Special Issue for 13th International Industrial Engineering Conference (IIEC 2017), Iranian Journal of Operations Research 8(1) (2017) 01-01.

      173. N. Mahdavi-Amiri, Special Issue for 10th International Conference of Iranian Op- erations Research Society, Iranian Journal of Operations Research 8(2) (2017) 01-01.

      172. M. Torkinejad, I. Mahdavi, N. Mahdavi-Amiri and M. Seyed Esfahani, A mathematical model for designing optimal urban gas networks, an ant colony algorithm and a case study, International Journal of Industrial Engineering and Production Research 28(4) (2017) 441-460.

      171. S. Shiripour, N. Mahdavi-Amiri and I. Mahdavi, A nonlinear model for locationallocation-routing problem in transportation network with intelligent travel times, International Journal of Operational Research 29(3) (2017) 400-431.

      170. N. Mahdavi-Amiri and M. Shaeiri, An adaptive competitive penalty method for nonsmooth constrained optimization, Numerical Algorithms 75(1) (2017) 305-336.

      169. R. Bartels, A. Mahdavi-Amiri, F. Samavati and N. Mahdavi-Amiri, Diagrammatic approach for constructing multiresolution of primal subdivisions, Computer Aided Geometric Design 51 (2017) 4-29.

      168. S. Shiripour, N. Mahdavi-Amiri and I. Mahdavi, A transportation network model with intelligent probabilistic travel times and two hybrid algorithms, Transportation Letters: The International Journal of Transportation Research 9(2) (2017) 90-122.

      167. N. Mahdavi-Amiri and F. Salehi-Sadaghiani, Strictly feasible solutions and strict complementarity in multiple objective linear optimization, 4ORA Quarterly Journal of Operations Research 15(3) (2017) 303-326.

      166. M. Divsalar, R. Hassanzadeh, I Mahdavi and N. Mahdavi-Amiri, Reserve capacity of mixed urban road networks, network configuration and signal settings, International Journal of Applied Industrial Engineering (IJAIE) 4(1) (2017)   44-64.

      165. I. Mahdavi, N. Mahdavi-Amiri, F. Naderi and M. M. Paydar, Cell formation configuration using interval type-2 fuzzy interactional interests among workers, International Journal of Operational Research (IJOR) 30(2) (2017) 172-192.

      164. A. Heidarzade, I. Mahdavi and N. Mahdavi-Amiri, Using the interval type-2 fuzzy sets and clustering algorithm in supplier selection: a case study, (in Persian), International Journal of Industrial Engineering and Production Management 27(3) (2016) 479-495.

      163. S. Shiripour, I. Mahdavi and N. Mahdavi-Amiri, Modeling and algorithms for capacitated transportations networks with population-dependent travel times, Applied and Computational Mathematics 15(3) (2016) 265-296.

      162. M. Shahmirzad, S. Khanchehzarrin, I. Mahdavi an N. Mahdavi-Amiri, A partial delivery bi-objective vehicle routing model with time windows and customer satisfac- tion function, Mediterranean Journal of Social Sciences 7(4) (2016) 102-108.

      161. D. The Luc, N. Mahdavi-Amiri, J.-E. Martinez-Legas and M. Soleimani-Damaneh, Operations research and optimization, Bulletin of the Iranian Mathematical So- ciety 42(7) (2016) 1-3.

      160. S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, Hybridizations of genetic algorithms and neighborhood search metaheuristics for fuzzy bus terminal location problems, Applied Soft Computing 46 (2016) 220-229.

      159. H. Fazlollahtabar, I. Mahdavi and N. Mahdavi-Amiri, Meta modelling of job satisfaction effective factors for improvement policy making in organizations, Bench- marking: an International Journal 23(2) (2016) 388-405.

      158. M. Nejati, I. Mahdavi, R. Hassanzadeh and N. Mahdavi-Amiri, Lot streaming in a two-stage assembly hybrid flowshop scheduling problem with a work shift constraint, Journal of Industrial and Production Engineering 33(7) (2016) 459-471.

      157. N. Bagherpour and N. Mahdavi-Amiri, A new error in variables model for solving positive definite linear system using orthogonal matrix decompositions, Numerical Algorithms 72(1) (2016) 211-241.

      156. S. Shiripour, I. Mahdavi and N. Mahdavi-Amiri, A nonlinear model for a ca- pacitated stochastic transportation network using multiple linear regression, International Journal of Management Science and Engineering Management 11(4) (2016) 252-261.

      155. S. Shiripour, N. Mahdavi-Amiri and I. Mahdavi, Optimal location-multi allocation- routing in capacitated transportation networks under population-dependent travel times, International Journal of Computer Integrated Manufacturing 29(6) (2016) 652-676.

      154. M. Forghani-elahabad and N. Mahdavi-Amiri, A new algorithm for generating all minimal vectors for the qSMPs reliability problem with time and budget constraints, IEEE Transactions on Reliability 65(2) (2016) 828-842.

      153. A. Heidarzade, I. Mahdavi and N. Mahdavi-Amir, Supplier selection using a clus- tering method based on a new distance for interval type-2 fuzzy sets: a case study, Applied Soft Computing 38 (2016) 213-231.

      152. M. Forghani-elahabad and N. Mahdavi-Amiri, An improved algorithm for find- ing all upper boundary points in a stochastic-flow network, Applied Mathematical Modelling 40 (2016) 3221-3229.

      151. B. Kheirfam and N. Mahdavi-Amiri, An improved infeasible interior-point method for symmetric cone linear complementarity problem, Bulletin of the Iranian Math- ematical Society 42(7) (2016) 55-66.

      150. M. Alizadeh, N. Mahdavi-Amiri and S. Shiripour, Modeling and Solving a Capac- itated Stochastic Location-Allocation Problem Using Sub-Sources, Soft Computing 20(6) (2016) 2261-2280.

      149. A. Heidarzade, I. Mahdavi and N. Mahdavi-Amiri, Multiple attribute group de- cision making method using a new similarity measure in interval type-2 fuzzy sets: A case study, International Journal of Mathematics in Operational Research 9(2) (2016) 139-166.

      148. H. Fazlollahtabar, I. Mahdavi and N. Mahdavi-Amiri, A heuristic algorithm to approximate dynamic program of a novel new product development process, Journal of King Saud University - Engineering Sciences 28 (2016)  84-91.

      147. R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, Particle swarm optimization for a bi-objective web-based convergent product network, Journal of Industrial En- gineering and Management Studies 2(1) (2015) 41-60.

      146. N. Gholamian, I. Mahdavi, R. Tavakkoli-Moghaddam and N. Mahdavi-Amiri,  A comprehensive fuzzy multi-objective multi-product multi-site aggregate production planning decisions in a supply chain under uncertainty, Applied Soft Computing 37 (2015) 585-607.

      145. M. Forghani-elahabad and N. Mahdavi-Amiri, An efficient algorithm forthe multi- state two separate minimal paths reliability problem with budget constraint, Reliability Engineering and System Safety 142 (2015)  472-481.

      144. P. Abbasian, N. Mahdavi-Amiri and H. Fazlollahtabar, Modeling and optimizing of a non-constrained multi-objective problem having multiple utility functions using the Bayesian theory, Journal of Information Sciences and Computing Tech- nologies 4(3) (2015) 332-342.

      143. S. Shiripour, N. Mahdavi-Amiri and I. Mahdavi, A nonlinear model for a capacitated random transportation network, Journal of Industrial and Production Engineering, 32(8) (2015) 500-515.

      142. M. Alizadeh, I. Mahdavi, N. Mahdavi-Amiri and S. Shiripour, A capacitated location-allocation problem with stochastic demands using sub-sources: An empirical study, Applied Soft Computing 34 (2015) 551-571.

      141. N. Mahdavi-Amiri and E. Golpar-Raboky, Real and integer Wedderburn rank reduction formulas for matrix decompositions, Optimization Methods and Software 30(4) (2015) 864-879.

      140. H. Fazlollahtabar, N. Mahdavi-Amiri and A. Muhammadzadeh, A genetic opti- mization algorithm for nonlinear stochastic programs in an automated manufacturing system, Journal of Intelligent and Fuzzy Systems 28 (2015) 1461-1475.

      139. R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, A heuristic zero/one pro- gramming for a bi-objective web-based convergent product networks, International Journal of Advanced Operations Management (IJAOM) 7(1) (2015)   63-84.

      138. N. Mahdavi-Amiri and E. Golpar-Raboky, Real and integer extended rank re- duction formulas and matrix decompositions: A review, Springer book series 134 (2015)  237-252.

      137. R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, An epsilon-constraint multiobjective optimization model for web-based convergent product networks using the Steiner tree, Scientia Iranica 22(3) (2015)  1155-1170.

      136. S. Shiripour, N. Mahdavi-Amiri and I. Mahdavi, A nonlinear model for location-allocation-routing problem in transportation network with intelligent travel times, International Journal of Operational Research (IJOR) 32(8) (2015)  1-27.

      135. S. Shiripour, N. Mahdavi-Amiri and I. Mahdavi, Planning a capacitated road network with flexible travel times: A genetic algorithm, Journal of Mathematical Modelling and Algorithms in Operations Research 14(4) (2015)  425-451.

      134. A. Heidarzade, I. Mahdavi and N. Mahdavi-Amiri, Multiple attribute group decision making in interval type-2 fuzzy environment using a new distance formulation,  International Journal of Operational Research (IJOR) 24(1) (2015)  17-37.

      133. B. Kheirfam and N. Mahdavi-Amiri, An infeasible interior-point algorithm based on modified Nesterov and Todd directions for symmetric linear complementarity problem, Optimization 64(7) (2015)  1577-1591.

      132. R. Ghanbari and N. Mahdavi-Amiri, Fuzzy LR linear systems: quadratic and least squares models to characterize exact solutions and an algorithm to compute approximate solutions, Soft Computing 19 (2015)  205-216.

      131. M. R. Ansari and N. Mahdavi-Amiri, A robust combined trust region-line search exact penalty projected structured scheme for constrained nonlinear least squares, Op- timization Methods and Software 30(1) (2015) 162-190.

      130. E. Golpar-Raboky and N. Mahdavi-Amiri, A new interpretation of the integer and real WZ factorization using block scaled ABS algorithms, Statistics, Optimization and Information Computing 2 (2014) 243-256.

      129. R. Ezzati, S. Khezerloo, N. Mahdavi-Amiri and Z. Valizadeh, Approximate nonnegative symmetric solution of fully fuzzy systems using medium interval defuzzification, Fuzzy Information and Engineering 6 (2014) 331-358.

      128. A. Heidarzade, N. Mahdavi-Amiri and I. Mahdavi, A new distance for Interval type-2 fuzzy sets with applications to clustering, International Journal of Compu- tational Intelligence and Applications 13(4) (2014)  1-15.

      127. N. Mahdavi-Amiri, B. Mordukhovich and M. Soleimani-damaneh, Special Issue: International Conference on Operations Research and Optimization (ORO2011), In- ternational Journal of Information Technology and Decision Making 13(4) (2014) 1-2.

      126. R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, Ant colony optimization for multi-objective digital convergent product network, Journal of Optimization in Industrial Engineering 16 (2014) 1-19.

      125. M. Forghani-elahabad and N. Mahdavi-Amiri, A new efficient approach to search for all multi-state minimal cuts, IEEE Transactions on Reliability 63(1) (2014) 154-166.

      124. N. Bidabadi and N. Mahdavi-Amiri, Superlinearly Convergent Exact Penalty Methods with Projected Structured Secant Updates for Constrained Nonlinear Least Squares, Journal of Optimization Theory and Applications 162(1) (2014) 154- 190.

      123. Y. Maali and N. Mahdavi-Amiri, A triangular type-2 multi-objective linear programming model and a solution strategy, Information Sciences 279 (2014) 816-826.

      122. M. Farhanchi, R. Hassenzadeh, I. Mahdavi and N. Mahdavi-Amiri, A modified ant colony system for finding the expected shortest path in networks with variable arc lengths and probabilistic nodes, Applied Soft Computing 21 (2014) 491-500.

      121. M. Forghani-elahabad and N. Mahdavi-Amiri, On search for all d-MCs in a network flow, Iranian Journal of Operations Research 4(2) (2014) 108-126.

      120. R. Hassanzadeh, I. Mahdavi, H. Fazlollahtabar and N. Mahdavi-Amiri, A web-based multi-optimisation approach for convergent product networks using the Steiner tree, International Journal of Advanced Operations Management - IJAOM 17(2) (2014) 142-167.

      119. B. Kheirfam and N. Mahdavi-Amiri, Full Nesterov-Todd step infeasible interiorpoint algorithm for symmetric cone linear complementarity problem, Bulletin of the Iranian Mathematical Society 40(3) (2014) 541-564.

      118. M. Nejati, I. Mahdavi, R. Hassanzadeh, N. Mahdavi-Amiri and M. S. Mojarad, Multi-job lot streaming to minimize the weighted completion time in a hybrid flow shop scheduling problem with work shift constraint, International Journal of Advanced Manufacturing Technology 70(1-4) (2014) 501-514.

      117.  I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri, M. Arab Maghsoudi and  M.

      H. Yahyanezhad, A virtual intelligent creativity matrix for employees clustered interactivity network with knowledge development program, International Journal of Knowledge-Based Organization (IJKBO) 4(1) (2014) 65-79.

      116. R. Hassanzadeh, I. Mahdav and N. Mahdavi-Amiri, A web-based multi-optimization approach for convergent product networks using the Steiner tree, International Journal of Services and Operations Management 17(2) (2014)  142-167.

      115. K. Nazari, A. Karami, N. Mahdavi-Amiri and F. Pourali, Microarray data analysis for detection and classification of viral infection, Journal of Applied Biotechnology Reports 1(1) (2014) 23-27.

      114. M. Fatemi and N. Mahdavi-Amiri, A projected gradient filter trust-region algorithm for bound constrained optimization, Pacific Journal of Optimization 10(1) (2014) 229-242.

      113. E. Golpar-Raboky and N. Mahdavi-Amiri, WZ factorization via Abaffy-Broyden- Spedicato algorithms, Bulletin of the Iranian Mathematical Society 40(2) (2014) 401-413.

      112. B. Kheirfam and N. Mahdavi-Amiri, A new interior-point algorithm based on modified Nesterov-Todd direction for symmetric cone linear complementarity problem, Optimization Letters 8(3) (2014) 1017-1029.

      111. S. Hesabi and N. Mahdavi-Amiri, A modified patch propagation-based image inpainting using patch sparsity, Iranian Journal of Science and Technology 37 (2013) 121-132.

      110 . R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, A web-based methodology for convergent product fuzzy networks using the Steiner tree, Journal of Industrial and Production Engineering 30(7) (2013) 415-432.

      109 . B. Kheirfam and N. Mahdavi-Amiri, New complexity analysis of a full Nesterov- Todd step infeasible interior-point algorithm for symmetric optimization, KYBER- NETIKA 49(6) (2013) 883-896.

      108. M. Forghani-elahabad and N. Mahdavi-Amiri, Finding all the upper boundary points of a stochastic-flow network with budget constraints, The CSI Journal on Computer Science and Engineering (JCSE) 8(2) (2013)  42-50.

      107. N. Mahdavi-Amiri and E. Golpar-Raboky, Extended rank reduction formulas containing Wedderburn and AbaffyBroydenSpedicato rank reducing processes, Linear Algebra and its applications 439(11) (2013)  3318-3331.

      106. E. Golpar-Raboky and N. Mahdavi-Amiri, Extended integer rank reduction for- mulas and Smith normal form, Linear and Multilinear Algebra 61(12) (2013) 1641-1659 .

      105. H. Fazlollahtabar and N. Mahdavi-Amiri, Design of a neuro-fuzzy-regression ex- pert system to estimate cost in a flexible jobshop automated manufacturing system, International Journal of Advanced Manufacturing Technology 67 (2013) 1809- 1823.

      104. N. Mahdavi-Amiri and M. R. Ansari, Superlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: global analysis, Optimization 62(6) (2013) 675-691.

      103. N. Bidabadi and N. Mahdavi-Amiri, A two-step superlinearly convergent projected structured BFGS method for constrained nonlinear least squares, Optimiza- tion 62(6) (2013) 797-815.

      102. N. Mahdavi-Amiri and N. Bidabadi , Superlinear projected structured exact penalty secant methods for constrained nonlinear least squares, International Journal of Operational Research Nepal (IJORN) 2 (2013) 1-17.

      101. S. Babaie-Kafaki and N. Mahdavi-Amiri, Two modified hybrid conjugate gradient methods based on a hybrid secant equation, Mathematical Modelling and Analysis 18(1) (2013) 33-52.

      100. V. Zarei, I. Mahdavi, R. Tavakkoli-Moghaddam and N. Mahdavi-Amiri, A multi- level capacity approach to the hub and spoke network, International Journal of Industrial Engineering and Production Research 24(1) (2013)  1-15.

      99. A. Aalaei, H. Fazlollahtabarb, I. Mahdavi , N. Mahdavi-Amiri and M. H. Yahyanejad, A genetic algorithm for a creativity matrix cubic space clustering: A case study in Mazandaran Gas Company, Applied Soft Computing 13(4) (2013) 1661-1673.

      98. H. Fazlollahtabar and N. Mahdavi-Amiri, Producer’s behavior analysis in an uncertain bi-criteria AGV-based flexible jobshop manufacturing system with expert system, International Journal of Advanced Manufacturing Technology 65 (2013) 1605- 1618.

      97. N. Mahdavi-Amiri and N. Bidabadi, Constrained Nonlinear Least Squares: A Superlinearly Convergent Projected Structured Secant Method, International Journal of Electrical and Computer Systems (IJECS) 1(1) (2013) 1-8.

      96. M. Khorramizadeh and N. Mahdavi-Amiri, An efficient algorithm for sparse null space basis problem using ABS methods, Numerical Algorithms 62(3) (2013) 469- 485.

      95. H. Fazlollahtabar and N. Mahdavi-Amiri, An optimal path in a bi-criteria AGV- based flexible jobshop manufacturing system having uncertain parameters, Int. J. Industrial and Systems Engineering 13(1) (2013)  27-55.

      94. R. Hassanzadeh, I. Mahdavi, N. Mahdavi-Amiri and A. Tajdin, A genetic algorithm for solving fuzzy shortest path problems with mixed fuzzy arc lengths, Mathematical and Computer Modelling 57(1-2) (2013) 84-99.

      93. M. Fatemi and N. Mahdavi-Amiri, A non-monotone trust region algorithm for unconstrained optimization with dynamic reference iteration updates using filter, Optimization 61(6) (2012) 733-763.

      92. N. Mahdavi-Amiri and M. R. Ansari, Superlinearly Convergent Exact Penalty Projected Structured Hessian Updating Schemes For Constrained Nonlinear Least Squares: Asymptotic Analysis, Bulletin of the Iranian Mathematical Society 38(3) (2012) 767-786.

      91. S.A. Hadighi, I. Mahdavi, S. Sahebjamnia and N. Mahdavi-Amiri, A new approach in strategy formulation using clustering algorithm: an instance in a service company, International Journal of Industrial Engineering and Production Research 23(2) (2012) 125-142.

      90. H. Farkhondeh, R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, A DEA approach for comparing solution efficiency in U-line balancing problem using goal programming, International Journal of Advanced Manufacturing Technology 61(9-12) (2012) 1161-1172.

      89. R. Ezzati, S. Khezerloo, N. Mahdavi-Amiri And Z. Valizadeh, New Models and Algorithms for Solutions of Single-Signed Fully Fuzzy LR Linear Systems, Iranian Journal of Fuzzy Systems 9(3) (2012) 1-26.

      88. N. Mahdavi-Amiri and R. Yousefpour, An Effective Nonsmooth Optimization Algorithm for Locally Lipschitz Functions, Journal of Optimization Theory and Applications 155 (2012) 180-195.

      87. A. Mohajeri, I. Mahdavi, N. Mahdavi-Amiri and R. Tafazzoli, Optimization of tree-structured gas distribution network using ant colony optimization: a case study, IJE Transactions A: Basics 25(2) (2012) 141-158.

      86. N. Mahdavi-Amiri and M. R. Ansari, A Superlinearly Convergent Penalty Method with Nonsmooth Line Search for Constrained Nonlinear Least Squares, Special Issue of SQU Journal for Science 17(1) (2012) 103-124.

      85. S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, An Efficient and Practically Robust Hybrid Metaheuristic Algorithm for Solving Fuzzy Bus Terminal Location Problems, Asia-Pacific Journal of Operational Research, 29(2) (2012)  1-25.

      84. M. Fatemi and N. Mahdavi-Amiri, A Filter Trust-Region Algorithm for Unconstrained Optimization with Strong Global Convergence Properties, Computational Optimization and Applications 52(1) (2012) 239-266.

      83. M. Soolaki, I. Mahdavi, N. Mahdavi-Amiri, R. Hasanzadeh and A. Aghajani, A new linear programming approach and genetic algorithm for solving airline boarding problem, Applied Mathematical Modelling 36(9) (2012) 4060-4072.

      82. S. Noori Darvish, I. Mahdavi and N. Mahdavi-Amiri, A Bi-Objective Possibilistic Programming Model for Open Shop Scheduling Problems with Sequence-Dependent Setup Times, Fuzzy Processing Times, and Fuzzy Due Dates, Applied Soft Computing Journal 12(4) (2012) 1399-1416.

      81. F. Taghipourian, I. Mahdavi, N. Mahdavi-Amiri and A. Makui, A fuzzy programming approach for dynamic virtual hub location problem, Applied Mathematical Modelling 36(7) (2012) 3257-3270.

      80. H. Fazlollahtabar, R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, A Genetic Optimization Algorithm and Perceptron Learning Rules for a Bi-criteria Parallel Machine Scheduling , Journal of the Chinese Institute of Industrial Engineers, 29(3) (2012) 206-218.

      79. H. Fazlollahtabar, I. Mahdavi, N. Mahdavi-Amiri and A. Mohajeri, A Mathematical Model for Vehicle Routing in a Flexible Supply Network, Asian Journal of Industrial Engineering 4(1) (2012) 17-29.

      78. A. Mohajeri, I. Mahdavi and N. Mahdavi-Amiri, Optimal pipe diameter sizing in a tree-structured gas network: a case study, International Journal of Industrial and Systems Engineering 12(3) (2012) 346-368.

      77. E. Golpar-Raboky and N. Mahdavi-Amiri, Diophantine Quadratic Equation and Smith Normal Form Using Scaled Extended Integer Abaffy-Broyden-Spedicato Algorithms, Journal of Optimization Theory and Applications 152(1) (2012)   75-96.

      76. S. Shiripour, I. Mahdavi and M. Amiri-Aref, M. Mohammadnia-Otaghsara and N. Mahdavi-Amiri, Multi-Facility Location Problems in Presence of a Probabilistic Line Barrier: A Mixed Integer Quadratic Programming Model, International Journal of Production Research 50(15) (2012) 3988-4008.

      75. N. Mahdavi-Amiri, Iranian Operations Research Society (IORS), Wiley Encyclopedia of Operations Research and Management Science, 2011.

      (DOI:  10.1002/9780470400531.eorms1026.)

      74. H. Fazlollahtabar, I. Mahdavi and N. Mahdavi-Amiri, Assessing the Effectiveness of E-learning via User Profile Analysis: An AHP-based Dynamic Programming Ap- proach, MIS Review 17(1) (2011) 39-61.

      73. I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri, M. Arabmaghsudi and M. H. Yahyanejad, A Comprehensive Value Engineering Approach for Gas Pipeline Projects Using Mathematical Models and FAST: A Case Study of Mazandaran Gas Company, International Journal of Business and Information 1(2) (2011) 182-204.

      72. H. Fazlollahtabar, H. Hajmohammadi, I. Mahdavi, N. Mahdavi-Amiri and A. Mo- hajeri, Fuzzy Electronic Supply Chain System: Customer Satisfaction and Logistic Aspects, Chapter 8 in Electronic Supply Network Coordination in Intelligent and Dynamic Environments: Modeling and Implementation, I. Mahdavi, S. Mohebbi and N. Cho (Editors), Business Science Reference, New York, 2011, pp. 183- 198.

      71. N. Cho, I. Mahdavi, N. Mahdavi-Amiri and S. Mohebbi, E-Supply Network: Net- work Agents to Support Information Sharing for Buyer-Buyer-Supplier Coordination, Chapter 12 in Electronic Supply Network Coordination in Intelligent and Dy- namic Environments: Modeling and Implementation, I. Mahdavi, S. Mohebbi and N. Cho (Editors), Business Science Reference, New York, 2011, pp. 265-284.

      70.  I. Mahdavi, N. Cho, H. Fazlollahtabar, S. H. Shafieian, N. Mahdavi-Amiri   and

      S. Mohebbi, Agent-based Dynamic Route Selection for Multilayer Electronic Supply Network, Chapter 15 in Electronic Supply Network Coordination in Intelligent and Dynamic Environments: Modeling and Implementation, I. Mahdavi, S. Mohebbi and N. Cho (Editors), Business Science Reference, New York, 2011, pp. 341- 359.

      69. R. Aliakbari Shandiz and N. Mahdavi-Amiri, An exact penalty approach for mixed integer nonlinear programming problems, American Journal of Operations Research (AJOR) 1 (2011) 185-189.

      68. B. Shirazi, I. Mahdavi and N. Mahdavi-Amiri, iCoSim-FMS: an intelligent co-simulator for the adaptive control of complex flexible manufacturing systems, Simulation Modelling Practice and Theory 19(7) (2011) 1668-1688.

      67. M. Khorramizadeh and N. Mahdavi-Amiri, An efficient algorithm for solving rank one perturbed linear Diophantine systems using Rosser’s approach, 4OR- A Quarterly Journal of Operations Research 9 (2011) 159-173.

      66. D. Ralescu, X. Li and N. Mahdavi-Amiri, Preface, Iranian Journal of Fuzzy Systems 8(4) (2011) i-ii.

      65. I. Mahdavi, N. Mahdavi-Amiri and S. Nejati, Algorithms for biobjective shortest path problems in fuzzy networks, Iranian Journal of Fuzzy Systems 8(4) (2011) 9-37.

      64. S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, Two effective hybrid meta-heuristic algorithms for minimization of multimodal functions, International Journal of Computer Mathematics 88(11) (2011)  2415-2428.

      63. S. Babaie-Kafaki, M. Fatemi and N. Mahdavi-Amiri, Two effective hybrid conju- gate gradient algorithms based on modified BFGS updates, Numerical Algorithms 58(3) (2011) 315-331.

      62. N. Mahdavi-Amiri and R. Yousefpour, An Effective Optimization Algorithm for Locally Nonconvex Lipschitz Functions Based on Mollifier Subgradients, Bulletin of the Iranian Mathematical Society 37(1) (2011) 171-198.

      61. R. Ghanbari and N. Mahdavi-Amiri, Solving Bust Terminal Location Problems Using Evolutionary Algorithms, Applied Soft Computing Journal 11 (2011) 991- 999.

      60. R. Hassanzadeh, E. Khorram, I. Mahdavi and N. Mahdavi-Amiri, A Genetic Algorithm for Optimization Problem with Fuzzy Relation Constraints Using Max-Product Composition, Applied Soft Computing Journal 11 (2011) 551-560.

      59. H. Fazlollahtabar, I. Mahdavi, M. Talebi Ashoori, S. Kaviani and N. Mahdavi- Amiri, A Multi-objective Decision-Making Process of Supplier Selection and Order Allocation for Mlti-period Scheduling in an Electronic Market, International Journal of Advanced Manufacturing Technology 52 (2011)  1039-1052.

      58. N. Mahdavi-Amiri, Iranian Operations Research Society (IORS), IFORS NEWS

      4(1) (2010) 15.

      57. I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri, M. Arab Maghsoudi and H. Mohammadi, Design of a fuzzy Job Satisfaction Matrix with Dynamic Performance Criteria: A Case Study at Mazandaran Gas Company, International Journal of Data Analysis and Information Systems (IJDAIS) 2(2) (2010)   67-76.

      56. A. Tajdin, I. Mahdavi, N. Mahdavii-Amiri and B. Sadeghpourgildeh, Computing a fuzzy shortest path in a network with mixed fuzzy arc lengths using alpha-cuts, Computers and Mathematics with Applications 60(4) (2010) 989-1002.

      55. A. Tajdin, I. Mahdavi and N. Mahdavi-Amiri, B. Sadeghpour-Gildeh and R. Has- sanzadeh, A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy Network, Wireless Sensor Network 2 (2010) 148-160.

      54. N. Mahdavi-Amiri and R. Yousefpoor, Constructing a Sequence of Discrete Hessian Matrices of an SC1 Function Uniformly Convergent to the Generalized Hessian Matrix, Mathematical Programming, Series A 121 (2010)  387-414.

      53. I. Mahdavi, H. Fazlollahtabar, S. Hosna Shafieian and N. Mahdavi-Amiri, Route Selection in a Dynamic Multi-Agent Multilayer Electronic Supply Network, Journal of Information Technology Applications and Management 17(1) (2010) 141- 155.

      52. Z. Raftani-Amiri, H. Fazlollahtabar and N. Mahdavi-Amiri, A Multi-period Supply Network of Food Products Based on Time-Windows with Sensitivity Analysis, Operations and Supply Chain Management 3(2) (2010) 105-116.

      51. S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, Two New Conjugate Gradient Methods Based on Modified Secant Equations, Journal of Computational and Applied Mathematics 234 (2010)1374-1386.

      50. R. Ghanbari and N. Mahdavi-Amiri, New Solutions of LR Fuzzy Linear Systems Using Ranking Functions and ABS Algorithms, Applied Mathematical Modeling 34 (2010) 3363-3375.

      49. I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri and M. Kakouei, Designing Integrated Models as a Decision Aid in Web-based Marketing, Journal of Information Technology  Applications  and  Management 17(1) (2010) 1-10.

      48. E. Spedicato, E. Bodon, Z. Xia and N. Mahdavi-Amiri, ABS methods for continuous and integer linear equations and optimization, Central European Journal of Operations Research 18(1) (2010) 73-95.

      47. R. Ghanbari, N. Mahdavi-Amiri and R. Yousefpour, Exact and approximate solutions of fuzzy LR linear systems: New algorithms using a least squares model and the ABS approach, Iranian Journal of Fuzzy Systems 7(2) (2010) 1-18.

      46. N. Mahdavi-Amiri, S.H. Nasseri and A. Yazdani, Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems, Iranian Journal of Operations Research 1(2) (2009) 68-84.

      45. S.H. Nasseri and N. Mahdavi-Amiri, Some Duality Results on Linear Programming Problems with Symmetric Fuzzy Numbers, Fuzzy Information and Engineering, An International Journal 1(1) (2009) 59-66.

      44. I. Mahdavi, H. Abbaspour-Ghomi, N. Sahebjamnia, Y. Eissazadeh-Roshan, H. Fazlollahtabar, N. Mahdavi-Amiri and A. Hamzehpour, Strategic Development and SWOT Analysis for IT/ICT Programs in Universities of Mazandaran in Iran Using Digital Indices, The Journal of Digital Policy and Management 7(1) (2009) 31- 47.

      43. N. Javadian, Y. Maali and N. Mahdavi-Amiri, Fuzzy Linear Programming with Grades of Satisfaction for fuzzy Constraints, Iranian Journal of Fuzzy Systems 6(3)(2009)  17-35.

      42. I. Mahdavi, Sh. Mohebbi, M. Zandakbari, N. Cho and N. Mahdavi-Amiri, Agentbased web service for the design of a dynamic coordination mechanism in supply networks, Journal of Intelligent Manufacturing 20(6) (2009) 727-749.

      41. I. Mahdavi, A. Heidarzadeh, B. Sadeghpour and N. Mahdavi-Amiri, A General Fuzzy TOPSIS Model in Multiple Criteria Decision Making, International Journal of Advanced Manufacturing Technology 45(3-4) (2009) 406-420.

      40. I. Mahdavi, B. Javadi, N. Sahebjamnia and N. Mahdavi-Amiri, A two-phase linear programming methodology for fuzzy multi-objective mixed-model assembly line problem, International Journal of Advanced Manufacturing Technology 44(9-10) (2009) 1010-1023.

      39. M. Khorramizadeh and N. Mahdavi-Amiri, Integer extended ABS algorithms and possible control of intermediate results for linear Diophantine systems, 4OR- A Quarterly Journal of Operations Research 7(2) (2009) 145-167.

      38. I. Mahdavi, H. Fazlollahtabar, A. Heidarzade, N. Mahdavi-Amiri and Y.I. Rooshan, A Heuristic Methodology for Multi-Criteria Evaluation of Web-Based Eearning Systems Based on User Satisfaction, Journal of Applied Sciences 8(24) (2008) 4603- 4609.

      37. I. Mahdavi, R. Nourifar, A. Heidarzade and N. Mahdavi-Amiri, A dynamic programming approach for finding shortest chains in a fuzzy network, Applied Soft Computing 9 (2008) 503-511.

      36. I. Mahdavi, H. Fazlollahtabar, E. Mozaffari, M. Heidari and N. Mahdavi-Amiri, Data envelopment analysis based comparison of two hybrid multi-criteria decision making approaches for mobile phone selection: a case study in Iranian telecommunication environment, International Journal of Information and Decision Sciences (IJIDS) 1(2) (2008) 194-220.

      35. M. Khorramizadeh and N. Mahdavi-Amiri, On solving linear Diophantine systems using generalized Rosser’s algorithm, Bulletin of the Iranian Mathematical Society 34(2) (2008) 1-25.

      34. B. Javadi, M. Saidi-Mehrabad, A. Haji, I. Mahdavi, F. Jolai and N. Mahdavi- Amiri, No-wait flow shop scheduling using fuzzy multi-objective linear programming, Journal of The Franklin Institute 345(5) (2008) 452-467.

      33. I. Mahdavi, N. Mahdavi-Amiri, A. Heidarzade and R. Nourifar, Designing a Model of Fuzzy TOPSIS in Multiple Criteria Decision Making, Applied Mathematics and Computation 206(2) (2008) 607-617.

      32. I. Mahdavi, S. Mohebbi, N. Cho, M.M. Paydar and N. Mahdavi-Amiri, Designing a Dynamic Buyer-Supplier Coordination Model in Electronic Markets Using Stochastic Petri Nets, International Journal of Information Systems and Supply Chain Management (IJISSCM) 1(3) (2008)  1-20.

      31. N. Mahdavi-Amiri and S.H. Nasseri, Duality Results and a Dual Simplex Method for Linear Programming Problems with Trapezoidal Fuzzy Variables, Fuzzy Sets and Systems 158(17) (2007) 1961-1978.

      30. K. Amini, N. Mahdavi-Amiri and M.R. Peyghami, Extended Reduced Rank Two Abaffian Update Schemes in the ABS Type Methods, Applied Mathematics and Computation 185(1) (2007) 255-265.

      29. M. Salahi and N. Mahdavi-Amiri, Polynomial Time Second Order Mehrotra-Type Predictor-Corrector Algorithms, Applied Mathematics and Computation 183(1) (2006) 646-658.

      28. I. Mahdavi, B. Shirazi, N. Cho and N. Mahdavi-Amiri, Conceptual Framework for Quantitative Modeling of Semi-Structured MADM, Asia Pacific Management Review 11(3) (2006)  155-162.

      27. N. Mahdavi-Amiri and S.H. Nasseri, Duality in Fuzzy Number Linear Program- ming by Use of a Certain Linear Ranking Function, Applied Mathematics and Computation 180(1) (2006) 206-216.

      26. K. Amini and N. Mahdavi-Amiri, Solving Rank One Perturbed Linear Diophantine Systems by the ABS Methods, Optimization Methods and Software 21(5) (2006) 819-831.

      25. H. Ghasabi-Oskoei and N. Mahdavi-Amiri, An Efficient Simplified Neural Network for Solving Linear and Quadratic Programming Problems, Applied Mathematics and Computation 175(1) (2006) 452-464.

      24. H. Esmaeili, N. Mahdavi-Amiri and E. Spedicato, Explicit ABS Solution of a Class of Linear Inequality Systems and LP Problems, Bulletin of The Iranian Mathematical Society 30(2) (2004) 21-38.

      23. K. Amini, N. Mahdavi-Amiri, and M.R. Peyghami, ABS-Type Methods for Solving Full Row Rank Linear Systems Using a New Rank Two Update, Bulletin of The Australian Mathematical Society 70(1) (2004)  17-34.

      22. N. Mahdavi-Amiri, M. Adib and H. Esmaeili, Design and Analysis of New Linear Optimization Algorithms for Solving Certain Systems and Linear Programming Problems Over Real and Integer Spaces, (in Persian), Sharif Journal of Science and Technology,  25  (2003-2004) 13-20.

      21. E. Spedicato, E. Bodon, A. Del Popolo and N. Mahdavi-Amiri, ABS Methods and ABSPACK for Linear Systems and Optimization: A Review, 4OR 1(1) (2003) 51-66.

      20. F. Famil Samavati and N. Mahdavi-Amiri, A Local Method for Multiresolution of Smooth Models, (in Persian), The CSI Journal of Computer Science and Engineering 1(1a) (2003) 3-10.

      19. F. Famil Samavati, N. Mahdavi-Amiri and R.H. Bartles, Multiresolution Surfaces Having Arbitrary Topologies by a Reverse Doo Subdivision Method, Computer Graphics Forum 21(2) (2002) 121-136.

      18. H. Esmaeili and N. Mahdavi-Amiri, Algorithms for Computing the Greatest Com- mon Divisor and Their Applications to Solving Single Linear Diophantine Equations, (in Persian), Mathematical Thought and Culture, A Journal of the Iranian Mathematical Society 21(1) (2002) 1-25.

      17. N. Mahdavi-Amiri and F. Famil Samavati, Multiresolution Surfaces with Arbitrary Topologies Using a Reverse Doo Subdivision Scheme, (in Persian), Sharif Journal of Science and Technology 20 (2002) 70-77.

      16. H. Esmaeili, N. Mahdavi-Amiri and E. Spedicato, ABS Solution of a Class of Linear Integer Inequalities and Integer LP Problems, Optimization Methods and Software 16(1-4) (2001) 179-192.

      15. H. Esmaeili, N. Mahdavi-Amiri and E. Spedicato, Generating the Integer Null Space and Conditions for Determination of an Integer Basis Using the ABS Algorithms, Bulletin of the Iranian Mathematical Society 27(1) (2001) 1-18.

      14. H. Esmaeili, N. Mahdavi-Amiri and E. Spedicato, A Class of ABS Algorithms for Diophantine Linear Systems, Numerische Mathematik 90(1) (2001)   101-115.

      13. F. Famil Samavati and N. Mahdavi-Amiri, A Filtered B-Spline Model of Scanned Digital Images, Journal of Sciences 10(4) (1999) 258-264.

      12. M. Adib, N. Mahdavi-Amiri and E. Spedicato, Broyden’s Method as an ABS Algorithm, Publications of The University of Miskolc, Series D, Natural Sciences, Mathematics 40 (1999) 3-13.

      11. B. Mehri and N. Mahdavi-Amiri, Periodic Solutions of Certain Three Dimensional Autonomous Systems, Journal of Sciences 10(2) (1999)  117-120.

      10. S. Musavi and N. Mahdavi-Amiri, Modeling, Generation and Representation of B-splines, (in Persian), Mathematical Thought and Culture, A Journal of the Iranian Mathematical Society 17(21) (1998) 19-37.

      9. S. Musavi and N. Mahdavi-Amiri, B-spline Bases and Interpolation, (in Persian) Mathematical Thought and Culture, A Journal of the Iranian Mathematical Society 17(20) (1998) 1-14.

      8.  H. Esmaeili and N. Mahdavi-Amiri,  ABS Methods for Solving Linear System,  (in Persian), Mathematical Thought and Culture, A Journal of the Iranian Mathematical Society 17(1 and 2) (1996) 17-28.

      7. N. Mahdavi-Amiri and S.R. Seydnejad, Computational Nonlinear Least Squares in Electric Current Tomography, Scientia Iranica, The International Journal of Science and Technology 1(4) (1995)  335-342.

      6. N. Mahdavi-Amiri, CNLP: A Nonlinearly Constrained Nonlinear Programming Test Problem Generator, The International Journal of Engineering 5(2a) (1994) 73-86.

      5. N. Mahdavi-Amiri, An Exact Penalty Method with Reduced Hessian Updates for Solving Constrained Optimization Problems, Iranian Journal of Science and Technology 18(1) (1994) 1-14.

      4. N. Mahdavi-Amiri, The Definition of Numerical Analysis, (Translation into Per- sian of Paper by Lloyd N. Trefethen, SIAM News, (6) 25 (1992)), Nashr-i Ryazy, A Mathematical Journal of Iran University Press 5(1 and 2) (1993) 27-29.

      3. N. Mahdavi-Amiri and D. Tasdighi, Universal and Global Information, (in Persian), Sharif Journal 9(5)(1993)76-78.

      2. N. Mahdavi-Amiri and R.H. Bartels, Constrained Nonlinear Least Squares: An Exact Penalty Approach with Projected Structured Quasi-Newton Updates, ACM Transactions On Mathematical Software (TOMS) 15(3) (1989)  220-242.

      R.H. Bartels and N. Mahdavi-Amiri, On Generating Test Problems for Nonlinear Programming Algorithms, SIAM Journal on Scientific and Statistical Computing 7(3) (1986) 769-798.

  • Refereed Conference Publications
      • H. Ahmadzadeh (speaker) and N. Mahdavi-Amiri, A nonmonotone inexact filter SQP algorithm, Proceedings of the 12th International Conference of Iranian Oper- ations Research Society, Mazandaran University of Science and Technology, Mizban Hotel, Babolsar, Iran, May 1-2, 2019, 4 pages.
      • S. Asadi (speaker) and N. Mahdavi-Amiri, A superlinearly convergent predictor-corrector algorithm for symmetric cone optimization, Proceedings of the 12th International Conference of Iranian Operations Research Society, Mazandaran University of Science and Technology, Mizban Hotel, Babolsar, Iran, May 1-2, 2019, 5 pages.
      • J. Dehghanpour Sahron (speaker) and N. Mahdavi-Amiri, An Optimization Approach for Solving Orthogonal Nonnegative Matrix Factorization Problem, Proceedings of the 12th International Conference of Iranian Operations Research Society, Mazandaran University of Science and Technology, Mizban Hotel, Babolsar, Iran, May 1-2, 2019, 4 pages.
      • H. Ahmadzadeh (speaker) and N. Mahdavi-Amiri, An inexact filter SQP algorithm for nonlinear programming, Proceedings of the 11th International Conference of Iranian Operations Research Society, Razi University of Kermanshah, Kermanshah, Iran, May 2-4, 2018, 4 pages.
      • J. Dehghanpour Sohroun (speaker) and N. Mahdavi-Amiri, Clustering: An Optimization Approach, Proceedings of the 11th International Conference of Iranian Operations Research Society, Razi University of Kermanshah, Kermanshah, Iran, May 2-4, 2018, 4 pages.
      • Kh. Ghorbani-Moghadam, (speaker), R. Ghanbari and N. Mahdavi-Amiri, Solving fuzzy number quadratic programming problems using variable neighborhood search algorithm, Proceedings of the 11th International Conference of Iranian Operations Research Society, Razi University of Kermanshah, Kermanshah, Iran, May 2-4, 2018, 4 pages.
      • F. Salehi Sadaghiani (speaker) and N. Mahdavi-Amiri, A Nonmonotone Quasi-Newton Method for Multiobjective Optimization, Proceedings of the 11th International Conference of Iranian Operations Research Society, Razi University of Kermanshah, Kermanshah, Iran, May 2-4, 2018, 4 pages.
      • N. Mahdavi-Amiri (invited speaker) and N. Bagherpour, Positive Definite Total Least Squares Problems by Orthogonal Decompositions, The 11th Triennial Conference of Association of Asia-Pacific Operational Research Societies (APORS 2018), August 6-9, Kathmandu, Nepal, page 72.
      • R. Dehghani (speaker) and N. Mahdavi-Amiri, A competitive modified scaled BFGS method for structured unconstrained optimization, The 7th Seminar on Numerical Analysis and its Applications, Shahid Bahonar University of Kerman 11-12 July 2018, Kerman, Iran, 7 pages.
      • Kh. Ghorbani-Moghadam (speaker), R. Ghanbari and N. Mahdavi-Amiri, Solving fuzzy number linear programming problems using a variable neighborhood search algorithm, Proceedings of the 6th International Joint Congress on Fuzzy and Intelligent Systems (17th Conference on Fuzzy Systems and 15th Conference on Intelligent Systems), Kerman, Iran, 28 February-2 March 2018, pp. 20-22.
      • Kh. Ghorbani-Moghadam (speaker), R. Ghanbari and N. Mahdavi-Amiri, Duality in bipolar triangular fuzzy number quadratic programming problems, Proceedings of the IEEE International Conference on Intelligent Sustainable Systems (ICISS 2017), SCAD Institute of Technology, Palladam, Tamil Nadu, India, 7-8 December 2017, pp. 1236-38.
      • N. Bagherpour and N. Mahdavi-Amiri (speaker), A New Error in Variables Model for Solving Positive Semi-Definite Linear Systems with Applications to Well-known Control Problems, Proceedings of the 4th International Conference of Control, Dynamic Systems, and Robotics (CDSR’17), Toronto, Canada, August 21-23, 2017, pp. 110-1:110-5, DOI: 10.11159/cdsr17.110 (Received best paper award).
      • M. Shaeiri (speaker) and N. Mahdavi-Amiri, A penalty method for solving nonsmooth constrained optimization problems, Proceedings of the 10th International Conference on Iranian Operations Research Society, University of Mazandaran, Babolsar, Iran, May 3-5, 2017, 7 pages.
      • F. Salehi Sadaghiani (speaker) and N. Mahdavi-Amiri, Some Duality Results for Multiobjective Nonlinear Programming, Proceedings of the 10th International Conference on Iranian Operations Research Society, University of Mazandaran, Babolsar, Iran, May 3-5, 2017, 6 pages.
      • Kh. Ghorbani-Moghadam (speaker), R. Ghanbari and N. Mahdavi-Amiri, Modified Kerre’s inequality for comparison of fuzzy numbers (in Persian), Proceedings of the 10th International Conference on Iranian Operations Research Society, University of Mazandaran, Babolsar, Iran, May 3-5, 2017, 5 pages.
      • N. Mahdavi-Amiri (invited speaker) and N. Bagherpour, Solving Positive Definite Total Least Squares Problems by Orthogonal Decompositions, Proceedings of the 4th International Conference on Computational and Experimental Science and Engineering (ICCESEN-2017), Antalya, Turkey, 4-8 October 2017.
      • N. Mahdavi-Amiri (invited speaker) and N. Bagherpour, A competitive error in variables algorithm for finding positive definite solutions of linear systems of matrix equations, 4th International Conference on Optimization and Numerical Analysis (NAOIV2017), Sultan Qaboos University, Muscat, Oman, January 2-5, 2017.
      • N. Mahdavi-Amiri (Keynote speaker), Approximate Solutions of Fuzzy LR Linear Systems Using a Least Squares Model, International Conference on Mathematics and Decision Sciences, Guangzhou University, Guangzhou, China, September 12- 15, 2016.
      • N. Mahdavi-Amiri (speaker) and E. Golpar-Raboky,The Smith Normal Form Using General Bi-conjugation Processes, The 10th International Conference on Optimization: Techniques and Applications (ICOTA 10), Ulaanbaatar, Mongolia, July 23-26, 2016.
      • M. Shahmirzad, S. Khanchehzarrin, I. Mahdavi (speaker) and N. Mahdavi-Amir, A Bi-objective Model for Vehicle Routing Problem with Time Windows on Partial distribution and Optimization of Customer Satisfaction, (in Persian), Proceedings of the International Conference on Industrial Engineering and Management, University of Tehran, Tehran, Iran, May 26, 2016, 9 pages.
      • M. Forghani-Elahabadi (speaker) and N. Mahdavi-Amiri, Reliability assessment of a multi-source multi-sink stochastic-flow network in terms of minimal paths, Proceedings of the 9th International Iranian Operations Research Conference (IORC 2016), Shiraz University of Technology, Shiraz, Iran, April 27-29, 2016, pp. 1065-1069.
      • F. Salehi Sadaghiani (speaker) and N. Mahdavi-Amiri, Some relations between multiple objective linear primal and dual programs, Proceedings of the 9th International Iranian Operations Research Conference (IORC 2016), Shiraz University of Technology, Shiraz, Iran, April 27-29, 2016, pp. 1097-1101.
      • N. Mahdavi-Amiri (invited speaker), A robust and efficient combined trust region- line search exact penalty projected structured approach for constrained nonlinear least squares problems, 4th Conference of Frontiers in Mathematical Sciences, Sharif University of Technology, Tehran, Iran, July 19-21, 2016.
      • S. Khanchehzarrin, M. Shahmirzad, I. Mahdavi (speaker) and N. Mahdavi-Amir, A New Model for Vehicle Routing Problem with Time Window on Multiple Routes in Traffic Conditions, (in Persian), Proceedings of the International Conference on Industrial Engineering and Management, University of Tehran, Tehran, Iran, May 26, 2016, 11 pages.
      • F. Salehi Sadaghiani (speaker) and N. Mahdavi-Amiri, Simplex Method for Multiple Objective Linear Programs with Bounded Variables, Proceedings of the 8th International Conference of Iranian Operations Research Society, Ferdowsi University of Mashhad, Mashhad, Iran, May 21-22, 2015, pp. 85-88.
      • N. Bagherpour (speaker) and N. Mahdavi-Amiri, Computing Symmetric Positive Definite Solutions of Certain Nonlinear Matrix Equations, Proceedings of the 8th International Conference of Iranian Operations Research Society, Ferdowsi University of Mashhad, Mashhad, Iran, May 21-22, 2015, pp. 183-186.
      • P. Abbasian (presenter), N. Mahdavi-Amiri and H. Fazlollahtabar, A Multi-objective Optimization Model Based on Bayesian Theory, Poster Presentation in Persian, Proceedings of the 8th International Conference of Iranian Operations Research Society, Ferdowsi University of Mashhad, Mashhad, Iran, May 21-22, 2015.
      • B. Behnia, I. Mahdavi (speaker) and N. Mahdavi-Amiri, A Multi-Objective Optimization Model for Human Resources in New Service Development Process, Proceedings of the 14th Conference on IT Applications and Management (ITAM), Ewha Women’s University, Seoul, Korea, 24-27 June, 2015, pp. 77-84.
      • N. Mahdavi-Amiri (invited speaker) and M. R. Ansari, A Robust Combined Trust Region-Line Search Exact Penalty Structured Approach for Constrained Nonlinear Least Squares Problems, The 8th International Conference of Iranian Operations Research Society, Ferdowsi University of Mashhad, Mashhad, Iran, May 21-22, 2015.
      • N. Bagherpour (presenter) and Nezam Mahdavi-Amiri, Solving Positive Definite and Positive Semi-definite Linear Systems Using New EIV Models, Proceedings of the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), China National Convention Center, China, August 10-14, 2015 .
      • N. Bagherpour (speaker) and Nezam Mahdavi-Amiri, Computing Symmetric Positive Definite Solutions of Three Types of Nonlinear Matrix Equations, Proceedings of the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), China National Convention Center, China, August 10-14, 2015 .
      • F. Pourdehghan Golneshini (speaker), N. Mahdavi-Amiri and H. Fazlollahtabar, Proposing a bi-objective fuzzy mathematical model for the hybrid flow shop scheduling problem, in Persian, Proceedings of the 11th International Industrial Engineering Conference, Tarbiat Modarres University, Tehran, Iran, 7-8 January, 2015, 6 pages.
      • R. Hassanzadeh, I. Mahdavi (speaker) and N. Mahdavi-Amiri, Particle Swarm Optimization for a Bi-Objective Web-Based Convergent Product Networks, 2015 2nd International Conference on Mechanical, Electronics and Computer Engi- neering, Zhuhai, China, January 24-26, 2015.
      • R. Hassanzadeh, A. Tajdin (speaker), I. Mahdavi and N. Mahdavi-Amiri, An AlphaCut Approach for Fuzzy Product and its Use in Computing Solutions of Fully Fuzzy Linear Systems, 2015 2nd International Conference on Mechanical, Electronics and Computer Engineering, Zhuhai, China, January 24-26,  2015.
      • N. Mahdavi-Amiri (invited speaker) and E. Golpar-Raboky, Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions:  A Review, 3rd International Conference on Optimization and Numerical Analysis (NAOIV-2014), Sultan Qaboos University, Muscat, Oman, January 5-9, 2014, pp. 237-259.
      • A. Forghani-Elahabadi (speaker) and N. Mahdavi-Amiri, Reliability assessment of a multi-source multi-sink stochastic-flow network in terms of minimal paths, Proceedings of the 7th International Conference of Iranian Operations Research Society, Semnan University, Semnan, Iran, May 14-15, 2014, 4 pages.
      • A. Mahdavi-Amiri and M. Shaeiri (speaker), A sampling algorithm for nonsmooth optimization using conjugate directions, Proceedings of the 7th International Conference of Iranian Operations Research Society, Semnan University, Semnan, Iran, May 14-15, 2014, 2 pages.
      • N. Bagherpour (speaker) and N. Mahdavi-Amiri, A Direct Method for Solving Positive Definite Total Least Squares, Using Orthogonal Matrix Decompositions, Proceedings of the 7th International Conference of Iranian Operations Research Society, Semnan University, Semnan, Iran, May 14-15, 2014.
      • N. Mahdavi-Amiri and E. Golpar-Raboky (speaker), ABS Algorithms for Integer and Real WZ Factorizations, the 45th Annual Iranian Mathematics Conference, Semnan University, Semnan, Iran, August 26-29, 2014, 4 pages.
      • N. Mahdavi-Amiri (speaker) and M. R. Ansari, An efficiently structured projected exact penalty approach for solving constrained nonlinear least squares problems, Proceedings of the International Conference on Computational and Experimental Science and Engineering (ICCESEN), Antalya, Turkey, 25-29 October 2014.
      • N. Mahdavi-Amiri (invited speaker) and E. Golpar-Raboky, Extended rank-one reduction processes and matrix decompositions, 3rd International Conference on Optimization and Numerical Analysis (NAOIV-2014), Sultan Qaboos University, Muscat, Oman, January 5-9, 2014.
      • N. Bagherpour (speaker) and N. Mahdavi-Amiri, Intelligent Control Using Positive Definite Total Least Squares, Proceedings of the extended abstracts of the 2nd International Conference on Operations Research and Optimization, University of Tehran, Tehran, Iran, January 19-22, 2013, pp. 45-48.
      • A. Forghani-Elahabadi (speaker) and N. Mahdavi-Amiri, A Simple Efficient Approach for the D-Mincut Problem, Proceedings of the extended abstracts of the 2nd International Conference on Operations Research and Optimization, University of Tehran, Tehran, Iran, January 19-22, 2013, pp. 72-75.
      • A. Mahdavi-Amiri (invited speaker) and M. R. Ansari, A structured Projected Penalty Approach for Constrained Nonlinear Least Squares problems, Proceedings of the International Conference on Applied Analysis and Mathematical Modeling (ICAAMM2013), Yildiz Technical University, Istanbul, Turkey, 2-5 June 2013, p. 9.
      • N. Mahdavi-Amiri (invited speaker) and E. Golpar-Raboky, Matrix decompositions using extended rank-one reduction processes, 5th Iranian Conference on Applied Mathematics, Bu-Ali Sina University, Hamedan, Iran, September 8-10,   2013.
      • M. Forghani-Elahabadi (speaker) and N. Mahdavi-Amiri, Multi-commodity Unreliability Evaluation for a Stochastic-Flow Network, Proceedings of the 6th International Conference of Iranian Operations Research Society, Tehran, Iran, May 8-9, 2013, pp. 172-173.
      • A. Forghani-elahabad (speaker) and N. Mahdavi-Amiri, A Simple Algorithm to Find All Minimal Path Vectors to Demand Level d in a Stochastic-Flow Network, 5th Iranian Conference on Applied Mathematics, Bu-Ali Sina University, Hamedan, Iran, September 8-10, 2013, pp. 532-535.
      • A. Mahdavi-Amiri (invited speaker), Efficient solution of rank one changed linear Diophantine systems, Proceedings of the 6th International Conference of Iranian Operations Research Society, Tehran, Iran, May 8-9,  2013.
      • F. Akbari, H. Fazlollahtabar, I. Mahdavi (speaker), and N. Mahdavi-Amiri, B-ilevel Programming for an Optimal Use of Information Technology Innovation in Markets, Proceedings of The 9th International Conference on Information Technol- ogy Applications and Management, Yonsei University, Wonju, Korea, December 20, 2012, pp. 141-153.
      • I. Mahdavi (speaker), N. Mahdavi-Amiri, M. M. Paydar, and E. Rahimi,A case study for robust optimization in a multi-period supply chain under uncertain environment, Proceedings of The 9th International Conference on Information Technology Applications and Management, Yonsei University, Wonju, Korea, December 20, 2012, pp. 223-234.
      • A. Khorramizadeh (speaker) and N. Mahdavi-Amiri, Solving sparse null space problem using the Markowitz pivoting criterion, (in Persian), Proceedings of the 43rd Annual Iranian Mathematical Society Conference, University of Tabriz, Tabriz, Iran, August 27-30, 2012, pp. 61-65.
      • A. Mahdavi-Amiri and N. Bidabadi, Constrained Nonlinear Least Squares: A Superlinearly Convergent Projected Structured Secant Method, Proceedings of the International Conference on Electrical and Computer Systems, Ottawa, Ontario, Canada, August 22-24, 2012, pp.  103-1–103-9.
      • N. Mahdavi-Amiri (invited speaker) and N. Bidabadi, Superlinear projected  structured exact penalty secant methods for constrained nonlinear least squares, 9th Triennial Conference of the Association of Asia-Pacific Operational Research Societies (APORS 2012), Xian, China, July 28-30, 2012, 10 pages.
      • R. Hassanzadeh, I. Mahdavi (speaker) , N. Mahdavi-Amiri, and A. Tajdin, An Alpha- Cut Approach for Fuzzy Product and its Use in Computing Solutions of Fuzzy Linear Systems, Proceedings of the 2012 International Conference on Industrial Engineering and Operations Management, Istanbul, Turkey, July 3-6, 2012, pp. 2047-2056.
      • R. Hassanzadeh, I. Mahdavi (speaker) , H. Fazlollahtabar and N. Mahdavi-Amiri,  A Web-Based Multi-Optimization Approach for Convergent Product Networks Using Steiner Tree, Proceedings of the 2012 International Conference on Industrial Engineering and Operations Management, Istanbul, Turkey, July 3-6, 2012, pp. 2057-2062.
      • N. Mahdavi-Amiri (invited plenary speaker) and M. Khorramizadeh, Solving rank one changed linear Diophantine systems, Proceedings of the International Conference on Applied Analysis and Algebra (ICAAA2012), Yildiz Technical University, University Putra Malaysia and Malaysian Mathematical Sciences Society, Istanbul, Turkey, June 20-24, 2012, pp. 9-10.
      • N. Mahdavi-Amiri (invited plenary speaker) and M. R. Ansari, superlinearly convergent exact penalty projected structured hessian updating schemes for constrained nonlinear least squares, Fifth International Conference of Iranian Operations Research Society, Azarbaijan University of Tarbiat Moallem, Tabriz, Iran, May 16-17, 2012, Extended Abstract, 1 page.
      • Somayeh Hesabi and Nezam Mahdavi-Amiri, A Modified Patch Propagation-based Image Inpainting Using Patch Sparsity, The 16th International Symposium on Artificial Intelligence and Signal Processing (AISP 2012), Shiraz University, Shiraz, Iran, May 2-3, 2012, 6 pages.
      • Effat Golpar-Raboky and Nezam Mahdavi-Amiri (speaker), Smith Normal Form Using Scaled Extended Integer ABS Algorithms, Proceedings of the 2011 2nd International Congress on Computer Applications and Computational Science (CACS 2011), Volume 2, Ford Lumban Gaol and Quang Vinh Nguyen (Eds.), Springer, pp.  367-372, 2011.
      • N. Mahdavi-Amiri (invited speaker) and R. Ghanbari, Fuzzy LR linear systems: New Characterizations and algorithms for solutions, Iranian Conference on Fuzzy Systems, University of Sistan and Baluchestan, Zahedan, July 5-7, 2011, 5 pages.
      • R. Ghanbari, K. Ghorbani-Moghadam, N. Mahdavi-Amiri, Fuzzy Linear    Programming Problems: Models and Solutions, Iranian Conference on Fuzzy Systems, University of Sistan and Baluchestan, Zahedan, July 5-7, 2011, 5 pages.
      • M. R. Ansari and N. Mahdavi-Amiri, Solving Constrained Nonlinear Least Squares Problems Using an Exact Penalty Structured Projected Scheme with a Hybrid Trust Region-Line Search Procedure, 4th International Conference of Iranian Operations Research Society, University of Guilan, Rasht, Iran, May 18-19, 2011, Extended Abstract, 2 pages.
      • E. Golpar-Raboky and N. Mahdavi-Amiri, Diophantine Quadratic Equation and Smith Normal Form Using Scaled Extended Integer ABS Algorithms, 4th International Conference of Iranian Operations Research Society, University of Guilan, Rasht, Iran, May 18-19, 2011, Extended Abstract, 2 pages.
      • A. Fatemi and N. Mahdavi-Amiri, A Globally Convergent Trust-Region Algorithm for Unconstrained Optimization Using Filter, 4th International Conference of Iranian Operations Research Society, University of Guilan, Rasht, Iran, May 18-19, 2011, Extended Abstract, 2 pages.
      • A. Mahdavi-Amiri (invited Speaker) and M. Korramizadeh, An efficient ABS-type algorithm for solving rank one perturbed linear Diophantine systems using generalized Rossers approach, Numerical Linear Algebra Workshop, Shahid Bahonar University, Kerman, Iran, Ordibehesht 14-15, 2011 (May 4-5, 2011), 5 pages.
      • I. Mahdavi, A. Tajdin, R. Hassanzadeh, N. Mahdavi-Amiri and H. Shafieian, Genetic Algorithm for Solving Fuzzy Shortest Path Problem in a Network with mixed fuzzy arc lengths, in Proceedings of the Fourth Global Conference on Power Control and Optimization, API Conference Proceedings, Volume 1337, 2011, pp. 265-270.
      • R. Hasanzadeh, I. Mahdavi, A. Tajdin, N. Mahdavi-Amiri and H. Shafieian, A Genetic Algorithm for Fuzzy All-Pairs Shortest Path in a Network, International Conference on Industrial Engineering and Operations Management, Kuala Lumpur, Malaysia, January 22-24, 2011, pp. 802-807.
      • R. Hasanzadeh, I. Mahdavi, A. Tajdin and N. Mahdavi-Amiri, A Genetic Algorithm for Fuzzy Shortest Path in a Network with mixed fuzzy arc lengths, International Conference on Industrial Engineering and Operations Management, Kuala Lumpur, Malaysia, January 22-24, 2011, pp.  808-813.
      • I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri, M. Arabmaghsoudi and N. Kolbadinezhad, Design of a Fuzzy Job Satisfaction Matrix with Dynamic Performance Criteria, International Conference on Industrial Engineering and Operations Management, Kuala Lumpur, Malaysia, January 22-24, 2011, pp. 1173-1178.
      • F. Salehi-Sadaghiani and N. Mahdavi-Amiri, Implementation and Numerical Testing of Mehrotra’s Primal-Dual Interior Point Method, Extended Abstract, The International Conference on Operations Research and Optimization, IPM, Tehran, Iran, January 26-28, 2011, 4 pages.
      • N. Mahdavi-Amiri (Plenary Speaker) and M. R. Ansari, Constrained Nonlinear Least Squares: An Exact Penalty Approach with Structured Approximate Projected Hessian Updates, The International Conference on Operations Research and Optimization, IPM, Tehran, Iran, January 26-28, 2011, 4 pages.
      • N. Bidabadi and N. Mahdavi-Amiri, Superlinearly Structured Secant Methods for Constrained Nonlinear Least Squares, Extended Abstract, The International Conference on Operations Research and Optimization, IPM, Tehran, Iran, January 26-28, 2011, 5 pages.
      • N. Mahdavi-Amiri and M. Korramizadeh, Generalized Rosser’s algorithm and solving rank one perturbed linear Diophantine systems, APORS 2010, 8th Triennial conference of Association of Asia Pacific Operational Research Societies, Penang, Malaysia, Dec. 5-8, 2010, 5 pages.
      • S. M. Shariatzadeh, N. Mahdavi-Amiri and S. Kasaei, Exemplar-Based Multi-resolution Image Completion, The 6th Iranian Machine Vision and Image Processing Conference, University of Isfahan, Isfahan, Iran, October 27-28, 2010, 8  pages.
      • I. Mahdavi, N. Mahdavi-Amiri, A. Makui, A. Mohajeri and R. Tafazzoli, Optimal gas distribution network using minimum spanning tree, The 17th International Conference on Industrial Engineering and Engineering Management (IE and EM), IEEE 2010, Xiamen, China, October 29-31, 2010, pp. 1374-1377.
      • I. Mahdavi, M. Arabmaghsudi, M. H. Yahyanejad, H. Fazlollahtabar and N. Mahdavi- Amiri, A Comprehensive Value Engineering Approach for Gas Pipeline Projects Using Mathematical Models and FAST, International Conference on Business and In- formation 2010, Rihga Royal Hotel Kokura, Kitakyushu, Japan, July 5-7, 2010, 11 pages.
      • I. Mahdavi, A. Mohajeri, M. Arabmaghsudi, M.H. Yahyanejad F. Taghipourian and N. Mahdavi-Amiri, An optimal natural-gas network using minimum spanning tree, The 40th International Conference on Computers and Industrial Engineering, Awaji Island, Japan, July 25-28, 2010, 5 pages.
      • H. Fazlollahtabar and N. Mahdavi-Amiri, Design of an Expert System to Estimate Cost in an Automated Jobshop Manufacturing System, The 40th International Conference on Computers and Industrial Engineering, Awaji Island, Japan, July 25-28, 2010, 6 pages.
      • H. Fazlollahtabar, R. Hassanzadeh, I. Mahdavi and N. Mahdavi-Amiri, A Web-Based Multi-Optimization Approach for Convergent Product Networks Using Steiner Tree, The 5th International Conference on IT Applications and Management, COEX Conference Center, Seoul, Korea, October 19, 2010, pp. 163-176.
      • Y. Maali and N. Mahdavi-Amiri, A Weighting Scheme and a Model for Computing Alternative Pareto Optimal Solutions of Multi Objective Linear Programming Problems, The IEEE International Conference on Industrial Engineering and Engi- neering Management (IEEM 2010), Macao, China, December 7-10, 2010, 6 pages.
      • S. Babaie-Kafaki, M. Fatemi and N. Mahdavi-Amiri, Hybrid Conjugate Gradient Algorithms Using Modified Secant Equations, 3rd International Conference of Iranian Operations Research Society, Amirkabir University of Technology, Tehran, Iran, May 5-6, 2010, 2 pages.
      • A. Ghanbari and N. Mahdavi-Amiri, Approximate Memetic Algorithm for Solving Bus Terminal Location Problem, 3rd International Conference of Iranian Operations Research Society, Amirkabir University of Technology, Tehran, Iran, May 5-6, 2010, 3 pages.
      • A. Hesabi, M. Jamzad and N. Mahdavi-Amiri, Structure and Texture Image Inpainting, 2010 International Conference on Signal and Image Processing (ICSIP 2010), Chennai, India, December 15-17, 2010, pp. 119-124.
      • A. Tajdin, I. Mahdavi, N. Mahdavi-Amiri,  B. Sadeghpour-Gildeh and R. Hadighi,  A Shortest Path Algorithm for a Network with Various Fuzzy Arc Lengths, Third Global Conference on Power Control and Optimization, Gold Coast, Australia, February 2-4, 2010, 12 pages.
      • S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, A New Evolutionary Based Metaheuristic Algorithm for Unconstrained Optimization, The 2nd International Conference of Iranian Operations Research Society, University of Mazandaran, Babolsar, Iran, May 20-22, 2009, pp. 69-72.
      • N. Mahdavi-Amiri and R. Yousefpour, A Sequence of Direct Hessian Matrices of an SC1 Function Uniformly Convergent to the Generalized Hessian Matrix, The 2nd International Conference of Iranian Operations Research Society, University of Mazandaran, Babolsar, Iran, May 20-22, 2009, pp.  180-181.
      • I. Mahdavi, M. Farhanchi, N. Mahdavi-Amiri, R. Hassanzadeh and J. Mahmoudi, Finding the short path in network with variable arc length and probabilistic nodes, The 2nd International Conference of Iranian Operations Research Society, University of Mazandaran, Babolsar, Iran, May 20-22, 2009, pp.  239-240.
      • S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, A modified nonlinear conjugate gradient algorithm for unconstrained optimization, International Conference of Mathematical Sciences, Maltepe University, Istanbul, Turkey, 4-10 August 2009, p. 359.
      • I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri and M. Kakouei, Designing Integrated Models as a Decision Aid in Web-based Marketing, The 2nd International Conference on IT Application and Management, Managing Global Uncertainties, Depok, Indonesia, June 25, 2009, pp. 129-134.
      • I. Mahdavi, M. Kakouei, H. Fazlollahtabr, N. Mahdavi-Amiri and S. Mohebbi, Information Technology in Developing Business Models of Export at Mazandaran Province in Iran, Proceedings of International Conference on Business and Information 2009, Vol. 6, July 6-8, 2009, 11 pages, Parkroyal Hotel, Kuala Lumpur, Malaysia.
      • I. Mahdavi, H. Abbaspour, N. Sahebjamneya, Y. Isazadeh-Roshan, H. Fazlollahpour and N. Mahdavi-Amiri, Applying an Integrated Digital Index and SWOT Analysis for Developing IT/ICT Programs at Universities in Mazandaran in Iran, International Conference on IT Applications and Management, Hanyang University, Seoul, Korea, Oct. 31, 2008, pp. 221-230.
      • A. Ghanbari, N. Mahdavi-Amiri and R. Yousefpour, New Algorithm Using ABS Approach for Solving Fuzzy LR Linear Systems, International Conference on Approximation in Scientific Computing, Institute of Software, Chinese Academy of Sciences, Beijing, China, Oct. 26-30, 2008, pp.  38-39.
      • A. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, Two New Metaheuristic Algorithms for Unconstrained Optimization, 39th Annual Iranian Mathematics Conference, Shahid Bahonar Univ. of Kerman, Iran, Aug. 24, 2008, pp. 110-113.
      • A. Ghanbari and N. Mahdavi-Amiri, A New Hybrid Metaheuristic Algorithm for Solving Uncapacitated Facility Location Problem, 39th Annual Iranian Mathematics Conference, Shahid Bahonar Univ. of Kerman, Iran, Aug. 24, 2008, pp. 231-234.
      • A. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, An Efficient Hybridization of Genetic Algorithm and Variable Neighborhood Search for Fuzzy Bus Terminal Location Problems with Fuzzy Setup Cost, Proceeding of the Second Joint Congress on Fuzzy and Intelligent Systems, Malek-Ashtar University of Technology, Tehran, Iran, October, 28-30, 2008, 7 pages.
      • I. Mahdavi, M.M. Paydar, A. Heidarzadeh and N. Mahdavi-Amiri, Application of Fuzzy Mathematical Approach for Cell Formation and Layout Design with Uncertain Condition, Proceedings of the World Congress on Egineering, Vol II, WCE, London, U.K., July 2-4, 2008, 6 pages.
      • S. Babaei-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, A Metaheuristic Algorithm for New Models of Fuzzy Bus Terminal Location Problem with a Certain Ranking Function, Proceedings of the First Joint Congress on Fuzzy and Intelligent Systems, Ferdowsi University of Mashhad, Mashhad, Iran, August 29-31, 2007, 4 pages.
      • N. Mahdavi-Amiri and S.H. Naseri, Duality in Fuzzy Linear Programming Using Linear Ranking Functions, Proceedings of The 37the Annual Iranian Mathematics Conference, Tarbiat Moallem University, Tabriz, Iran, pp. 593-594, September 2-5, 2006.
      • Duality in Fuzzy Variable Linear Programming, (with S.H. Nasseri), in Proceedings of WEC’ 05, The Fourth World Enformatika Conference, June 24-26, 2005,Istanbul, Turkey, ENFORMATIKA, Vol.  6, pp.  115-117,  2005.
      • Duality in Fuzzy Number Linear Programming by Use of Certain Linear Ranking Function, (with S.H. Nasseri), in Proceedings of 35th Annual Iranian Mathematics Conference, University of Ahvaz, Ahvaz, Iran, 9 Pages, Jan. 27-31, 2005.
      • ABS Solutions of Some Linear Inequality Systems and LP Problems in Real and Integer Spaces, (invited, with H. Esmaeili and E. Spedicato), in Proceedings of The 3rd International Conference on ABS Algorithms, Institute of Computational Math- ematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China, May 14-15, 2001, Editors: E. Spedicato and Z. Xia, Published by University of Bergamo, Report n. 25, pp. 108-130, December 2004.
      • Updating the General Solution of a Linear equality Diophantine System after a Rank- one Perturbation of the Coefficient Matrix, (with K. Amini, in Persian), 34th Iranian Mathematical Conference, Shahrood University of Technology, Shahrood, Iran, 15 Pages, Aug. 30 - Sept. 2, 2003.
      • ABS-type Methods Using a New Rank Two Update, (with K. Amini and M.R. Peyghami, in Persian), 34th Iranian Mathematical Conference, Shahrood University of Tech- nology, Shahrood, Iran, 19 pages, Aug. 30 - Sept. 2, 2003.
      • ABS Solution of Full Row Rank Inequalities, Linear Programming and Integer Programming Problems, (invited, with H. Esmaeili, in Persian), Proceedings of the Monthly Colloquium of the Iranian Mathematical Society, Volume 1, pp. 71- 93, Winter 2003.
      • Image Reconstruction of Impenetrable Cylinders Using Cubic B-splines and Genetic Algorithms, (with K. Barkeshli and M. Mokhtari), in Proceedings of 2001 IEEE Antennas and Propagation Society International Symposium, Volume 2, Boston, MA, pp. 686-689, July 8-13, 2001.
      • Generating the Integer Null Space and the Necessary and Sufficient Conditions for Determination of an Integer Basis Using the ABS Methods, (with H. Esmaeili, in Persian), in Proceedings of The Third Seminar on Numerical Analysis and its Applications, Sistan and Baluchestan University, Zahedan, Iran, pp. 1-16, Nov. 16- 17, 2000.
      • Solutions of Inequality Systems and Integer Linear Programming Problems Having Full Row Rank via ABS Methods, (with H. Esmaeili, in Persian), Invited Paper, in Proceedings of The 30th Iranian International Conference on Mathematics, University of Mohaghegh Ardebili, Ardebil, Iran, pp. 14-26, August 1-4, 1999.
      • General Solution of Diophantine Systems and a Proof for Refuting Egervary’s Claim, (with H. Esmaeili, in Persian), in Proceedings of The 30th Iranian International Conference on Mathematics, University of Mohaghegh Ardebili, Ardebil, Iran, pp. 27-34, August 1-4, 1999.
      • Broyden’s Method within the ABS Class of Algorithms, (with M. Adib, in Persian), in Proceedings of The 30th Iranian International Conference on Mathematics, University of Mohaghegh Ardebili, Ardebil, Iran, pp. 1-7, August 1-4, 1999.
      • A New ABS-type Approach for Solving Linear Systems, (with M. Adib, in Persian), in Proceedings of The Second Seminar on Numerical Analysis and its Applications, Imam Hossein University, Tehran, Iran, pp. 1-24 , January 27-28, 1999.
      • ABS Methods and Solving Linear Diophantine Equations, (with H. Esmaeili, in Persian), in Proceedings of The Second Seminar on Numerical Analysis and its Applications, Imam Hossein University, Tehran, Iran, pp. 49-60, January 27-28, 1999.
      • T. Karbaschi (speaker), N. Mahdavi-Amiri and H. Fazlollahtabar, Bi-characterized Networks with Rational Cost Functions for Automatically Guided Vehicles, in Persian, Proceedings of the 8th International Conference of Iranian Operations Research Society, Ferdowsi University of Mashhad, Mashhad, Iran, May 21-22, 2015, 2 pages.
      • I. Mahdavi, H. Fazlollahtabar, N. Mahdavi-Amiri, M. Arabmaghsude and M. H. Yahyanejad, Design of a Creativity Matrix Using Virtual Intelligent Clustering and Knowledge Development Program, International Conference on Industrial Engineering and Operations Management, Kuala Lumpur, Malaysia, January 22-24, 2011, pp. 1179-1184.
      • Solving Linear Equality Diophantine Systems with Bounds on Variables by Basis Reduction Approach, (Presented as a Poster with Z. Hallaj Kashani, in Persian), 34th Iranian Mathematical Conference, Shahrood University of Technology, Shahrood, Iran, Aug. 30 - Sept. 2, 2003.
      • Multiresolution of Surfaces Having Arbitrary Topologies, (with F.F. Samavati, in Persian), in Proceedings of The Second Seminar on Numerical Analysis and its Applications, Imam Hossein University, Tehran, Iran, pp. 133-148, January 27-28, 1999.
      • A Local Method for Smooth Multiresolution Models, (with F.F. Samavati, in Persian), in Proceedings of the Fourth Annual International CSI Computer Conference (CSICC’98), Tehran, Iran, pp. 151-157, January 1999.
      • B-spline Representation of Digital Contours, (with F. Famil Samavati, in Persian), in Proceedings of the First Annual CSI Computer Conference, (CSICC ’95), Tehran, Iran, pp. 167–172, Dec. 1995.
      • Periodic Solutions of Certain Three Dimensional Autonomous Systems, (with B. Mehri), in Proceedings of the First Joint Seminar on Applied Mathematics, University of Zanjan and Baku State University, Zanjan, pp. 90–96, Oct. 4-6, 1995.
      • Geometric Modeling in Computers and Computer Graphics, (with F. Famil Samavati, in Persian), in Proceedings of the 24th Annual Iranian Mathematics Conference , Shahid Beheshti University, Tehran, Iran, pp. 126-138, 28-31 March 1993.
      • An Exact Penalty Method with Reduced Hessian Updates for Solving Constrained Optimization Problems, in Proceedings of The International Congress on Computational Methods in Engineering, Shiraz University, Shiraz, Iran, (Ed. M.A. Yaghoubi), Volume 1 (Modelling and Simulations), pp. 199–206, 2-6 May 1993.
      • Optimization in Electrical Tomography, (with S.R. Seydnejad, in Persian), in Proceedings of The International Congress on Computational Methods in Engineering, Shiraz University, Shiraz, Iran, (Ed. M.A. Yaghoubi), Volume 1 (Modeling and Simulations), pp. 51–58, 2-6 May 1993.
      • Modeling Optimization Test Problems with a Finite Number of Characterized Points, in Proceedings of the International Symposium on Numerical Analysis, Middle East Technical University, Ankara, Turkey, O. Celebi and B. Karasozen (Eds.), pp. 209–228, Sept. 1-4, 1989.
      • An Implementation of an Exact Penalty Algorithm for Solving Constrained Nonlinear Least Squares Problems, in Proceedings of the International Symposium on Numerical Analysis, Middle East Technical University, Ankara, Turkey, O. Celebi and Karasozen (Eds.), pp. 229–256, Sept. 1-4, 1989.
  • Papers in Research Book
 
  1. ABS-type Methods for Solving Linear Inequalities and Linear Programming Problems, (in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), 13 Pages, 2005-2006.
  2. Extended ABS Methods for Solving General and Diophantine Linear Systems of Equations, (with K. Amini, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), 13 Pages, 2004-2005.
  3. Application of ABS Methods for Solving Optimization Problems, (with M.R. Peypghami and M. Salahi, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 87-97, , 2002-2003.
  4. Karmarkar’s Interior Point Algorithms and an ABS-type Algorithm for Solving Linear Programming Problems, (with M. Salahi, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), 12 Pages,  2001-2002.
  5. Optimization Algorithms Using the ABS Class of Methods, (with M. Salahi, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 55-63, 2000-2001.
  6. Multiresolution Surfaces Having Arbitrary Topologies Using Reverse Doo Subdivision, (with F.F. Samavati, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 49-62, 1999-2000.
  7. Design and Analysis of New Algorithms in Optimization, (with M. Adib and H. Esmaeili, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 63-77, 1999-2000.
  8. Design and Analysis of New Algorithms in Optimization, (with M. Adib and H. Esmaeili, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 89-98, 1998–99.
  9. Mathematical Models for Compact Digital Image Representations, (with F.F. Samavati, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 77-87, 1998–99.
  10. Iterative ABS Methods for Solving Integer Linear Systems and its Applications to Certain Optimization Problems, (with H. Esmaeili, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 99–109, 1996–97.
  11. Geometric Reconstruction of Scanned Images, (with F. Famil Samavati, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 89–98, 1996–97.
  12. Geometric Reconstruction of Scanned Images, (with F. Famil Samavati, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 78–83, 1995–96.
  13. Iterative Direct Methods for Solving Linear System of Equations, (with H. Esmaeili, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 84–98, 1995–96.
  14. Optimization in Electric Current Tomography, (in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 58–68, 1994– 95.
  15. Geometric Modeling of Digital Contours, (with F. Famil Samavati, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 69–79, 1994–95.
  16. Mathematical Software for Solving Nonlinear Optimization Problems, (in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 80–94, 1994–95.
  17. Optimization in Electric Current Tomography, (with S.R. Seydnejad, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 61–64, 1993–94.
  18. B-spline Models for Curves and Surfaces in Computer Graphics, (with F. Famil Samavati, in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences Volume), pp. 65–71,  1993–94.
  19. Mathematical Software for Solving Nonlinear Optimization Problems, (in Persian), in Sharif University of Technology Research Reports (Mathematical Sciences  Volume), pp. 72–77, 1993–94.
  20. B-spline Models for Curves and Surfaces in Computer Graphics and Geometric Design, in Sharif University of Technology Research Reports, (with F. Famil Samavati, in Persian), 7 pages, 1992–93.
  21. Mathematical Software for Generating Nonlinear Optimization Problems, in Sharif University of Technology Research Reports (in Persian), pp.  39–47, 1991–92.
  • Refereed Review Articles
    1. Numerical Experience with Sequential Quadratic Programming Algorithms for Equality Constrained Nonlinear Programming, by D.F. Shanno and K.H. Phua, ACM Transactions on Mathematical Software, Vol. 15, No. 1, March 1989, pp. 49–63, in ACM Computing Reviews, Vol. 15, No. 1, 486–487, September 1989.
    2. Convergence Theorem of Rosen’s Gradient Projection Method, by D.Z. Du and X.S. Zhang, Mathematical Programming 36, 1986, pp. 135–144, in ACM Computing Reviews, pp. 379–380, July 1988.

Invited Addresses at Conferences

  1. N. Mahdavi-Amiri (invited speaker), What is Applied Mathematics?, High School Mathematics Teachers’ Meeting, Ghazvin Province, Ghazvin, Iran, January 15, 2015.
  2. N. Mahdavi-Amiri (invited speaker) and M. R.Ansari, A Two-Step Superlinearly Convergent Exact Penalty Approach with New Projected Structured Hessian Updating Schemes for Constrained Nonlinear Least Squares, The Third Workshop on Optimization and its Applications, Khajeh Nasir Tousi University, Tehran, Iran, May 17, 2011, Extended Abstract, 2 pages.
  3. N. Mahdavi-Amiri (invited speaker) and M. R. Ansari, Exact penalty projected structured hessian updating schemes for solving constrained nonlinear least squares problems, The Second International Conference on Numerical Analysis and Optimization, Sultan Qaboos University, Muscat, Oman, January 3-6, 2011, pp. 43.
  4. N. Mahdavi-Amiri (invited speaker) and M. Khorramizadeh, Solving rank one perturbed linear Diophantine systems using generalized Rosser’s algorithm, The Second Workshop on Optimization and its Applications, Khajeh Nasir Tousi University, Tehran, Iran, May 4, 2010, Extended Abstract, 2 pages.
  5. N. Mahdavi-Amiri (invited speaker) and M. Korramizadeh, Solving rank one perturbed linear Diophantine systems using generalized Rosser’s algorithm, The 23rd International Conference of Jangjeon Mathematical Society, Shahid Chamran University and Jangjeon Mathematical Society (Iran - South Korea), Ahvaz, Iran, February 8-10, 2010, 2 pages.
  6. N. Mahdavi-Amiri (invited speaker) and M. Khorramizadeh, Generalized Rosser’s Algorithm and New Integer Extended ABS Algorithms for Solving Linear Diophantine Equations, Workshop on Optimization and its Applications to Engineering, Khajeh Nasir Tousi University, Tehran, Iran, 18 May 2009, Extended Abstract, 2 pages.
  7. N. Mahdavi-Amiri (invited speaker) and R. Yousefpour, An Optimization Algorithm for Locally Nonconvex Lipschitz Functions Based on Mollifier Subgradient, The 2nd International Conference on Nonlinear Analysis and Optimization, University of Isfahan, Isfahan, Iran, May 13-15, 2009.
  8. N. Mahdavi-Amiri, Extended integer ABS algorithms for Linear Diophantine Systems, APORS 2009, 8th Triennial conference of Association of Asia Pacific Operational Research Societies, Jaipur Institute of Management, Jaipur, India, Dec. 06-09, 2009.
  9. N. Mahdavi-Amiri, ABS methods for integer linear systems and inequalities and integer linear programming, XXXIX Annual Conference Italian Operations Research Society Joint Conference EWGT2008 - 12th Meeting Euro Working Group on Transportation (AIRO2008), Hotel Continental Terme, Ischia - Italy, Sept. 7- 11, 2008.
  10. N. Mahdavi-Amiri (invited speaker) and M. Khorramizadeh, An effective and efficient method for rank one perturbed linear Diophantine systems based on Rosser’s algorithm, Numerical Analysis and Optimization Conference, Sultan Qaboos University, Muscat, Oman, April 2008.
  11. N. Mahdavi-Amiri, Generalized Rosser’s Algorithm and New Integer Extended ABS Algorithms for Solving Linear Diophantine Equations, SIGOPT - International Conference on Optimization 2008, Universitat Trier and Universitat Hannover - Lambrecht, February 2008.
  12. Mahdavi-Amiri, N., Optimization Tets Problem Models with Multiple Characterized Points, International Conference on Nonlinear Analysis and Optimization, Isfahan, Iran, April 25-27, 2007.
  13. N. Mahdavi-Amiri, Integer ABS Class of Algorithms for Solving Linear Diophantine Equations, Extended Abstract in the Program Booklet of the International Workshop on Numerical Linear Algebra in Signals and Systems, Hotel Porto Giardino, Monopoli (Bari), Italy, September 11-15, 2006.
  14. ABS Methods for Linear (Diophantine) Systems and Optimization, Extended Abstract in the Proceedings of 36th Annual Iranian Mathematics Conference, Yazd University, Yazd, Iran, pp. 16-17, Sept. 10-13, 2005.
  15. Solving Rank One Perturbed Linear Diophantine Systems by the ABS Methods, International Conference on Numerical Linear Algebra and Optimization, Lhasa, Tibet, China, Aug. 18-12, 2005.
  16. Modern Optimization Methods: Linear Problems, Workshop on Special Topics in Theoretical and Computational Fluid Mechanics, Center of Excellence in Energy Conservation, Sharif University of Technology, Tehran, Iran, April 20-21, 2005.
  17. Modern Optimization Methods: Non-Linear Problems, Workshop on Special Topics in Theoretical and Computational Fluid Mechanics, Center of Excellence in Energy Conservation, Sharif University of Technology, Tehran, Iran, April 20-21,  2005.
  18. ABS Algorithms for Solving Linear Systems and Applications to other Problems, 33rd Iranian Mathematics Conference, Ferdowsi University, Mashhad, Iran, Aug. 30- sept. 2, 2002.
  19. Solving Some Linear Inequality Systems and LP Problems in Real and Integer Spaces via the ABS Algorithms, 32nd Iranian Mathematics Conference, University of Mazandaran, Babolsar, Iran, 27-30 August  2001.
  20. Constrained Nonlinear Optimization: Quadratic Programming Models and Exact Penalty Functions, The First Workshop on Nonlinear Functional Analysis and its Applications, Shahid Beheshti University, Tehran, Iran, January 20-24, 2002.
  21. ABS Solution of a Class of Linear Inequality Systems and LP Problems over Real and Integer Spaces, Monthly Seminar of Mathematical Society of Iran, Tehran, Iran, June 2001.
  22. ABS Solution of a Class of Linear Inequality Systems and LP Problems over real and Integer Spaces, The First International Seminar on Graphs, Combinatorics, Computational Algorithms and Applications, Amir Kabir Polytechnic Univer- sity, Tehran, Iran, 31st Jan.-1st Feb. 2001.
  23. Nonlinear Constrained Optimization Methods Using Quadratic Models and Penalty Functions, Symposium on Mathematics and Communications, Iran Telecom Research Center, Tehran, Iran, Oct. 19, 2000.
  24. ABS Methods for Diophantine Linear Systems and Integer LP Problems, Annual Conference of the Operations Research Society of Italy, (with E. Spedicato), University of Milano-Bicocca, Milano, Italy, Sept. 18-21, 2000.
  25. Solution of Inequality Systems and Full Rank Linear and Integer Programming Problems Based on ABS Methods, (with H. Esmaeili, in Persian), 30th Iranian International Conference on Mathematics, University of Mohaghegh Ardebili, Ardebil, Iran, August 1-4, 1999.
  26. Exact Penalty Successive Quadratic Programming Methods with Reduced Hessian Updates for Solving Constrained Nonlinear Programming Problems, The First Conference on Optimization and its Applications, Ferdowsi University of Mashhad, Mashhad, Iran, Nov. 17-19, 1998.
  27. An Exact Penalty Nonlinear Optimization Algorithm with Projected Hessian Updates, The First Joint Seminar on Applied Mathematics, Zanjan University and Baku State University, Zanjan, Iran, Oct. 4–6, 1995.
  28. CNLP: A Nonlinear Programming Test Problem Generator, The First International Conference on Applied Mathematics, Iran University of Science and Technology, Tehran, Iran, June 18–20, 1991.
  29. Generating Test Scenarios in Nonlinear Programming, (with R.H. Bartels), SIAM 30th Anniversary Meeting, Stanford University, Stanford, California, July 19–23, 1982.
  • Refereed Conference Presentations
    (abstract refereed and abstract  published)
  1. N. Mahdavi-Amiri (speaker) and N. Bagherpour, Solving positive definite total least squares problems by orthogonal decompositions, 3rd International Conference on Computational and Experimental Science and Engineering (ICCESEN 2015), Kemer-Antalya, Turkey, October14-19, 2015.
  2. Hassanzadeh (presenter), I. Mahdavi, N. Mahdavi–Amiri, and H. Fazlollahtabar, Fifth International Conference of Iranian Operations Research Society, Azarbaijan University of Tarbiat Moallem, Tabriz, Iran, May 16-17, 2012, Extended Ab- stract, pp. 56.
  3. Shiripouri, I. Mahdavi, M. Amiri-Aref, and N. Mahdavi-Amiri, A quadratic programming model for a multi-facility location problem with a probabilistic line barrier, IFORS 2011 triennial Conference, Melbourne, Australia, July 10-15, 2011.
  4. A. Mohajeri, I. Mahdavi, and N. Mahdavi-Amiri, Optimization of a tree-structured gas distribution network using ant colony optimization: a case study, IFORS 2011 triennial Conference, Melbourne, Australia, July 10-15,   2011.
  5. N. Mahdavi-Amiri and M. Korramizadeh, Generalized Rosser’s algorithm and solving rank one perturbed linear Diophantine systems, Asian Pacific Operational Research Conference (APORS 2010), Universiti Sains Malaysia, Penang, Malaysia, December 5-8, 2010.
  6. N. Mahdavi-Amiri and M. R. Ansari, New Projected Structured Hessian Updating Schemes for Constrained Nonlinear Least Squares Problems, International Conference on Operations Research 2010, Universitat der Bundeswehr Munchen, Germany, September 1-3, 2010.
  7. S. Babaie-Kafaki, R. Ghanbari and N. Mahdavi-Amiri, A modified conjugate gradient algorithm for unconstrained optimization, International Conference on Engineering and Computational Mathematics 2009, Hong Kong Polytechnic University, China, May 27-29, 2009.
  8. I. Mahdavi, N. Mahdavi-Amiri, A. Tajedin, R. Nourifar and R. Hoseynzadeh, Designing a New Algorithm for the Fuzzy Shortest Path Problem in a Network, 37th International Conference on Computers and Industrial Engineering, Alexandria, October 2007.
  9. I. Mahdavi, N. Mahdavi-Amiri, K. Kiya and M. Haj Mohammadi, Solving Quadratic Assignment Problem as a Combinatorial Optimization Using Cross-Entropy Metaheuristic Algorithm, MIC 2007: The Seventh Metaheuristics International Conference, Montreal, June 2007.
  10. N. Mahdavi-Amiri and M. Khoramizadeh, Solving Linear Diophantine Systems Using Extended ABS Algorithms, 4th Algebra seminar, Rafsanjan Univ, Iran, March 2007.
  11. S.H. Naseri and N. Mahdavi-Amiri, Fuzzy Linear Programmin, Workshop on Advances in  Optimization, Tokyo Institute of Technology, Tokyo, Japan, April 19-21, 2007.
  12. Broyden’s Methods Belong to the ABS Class, 3rd Annual McMaster Optimization Conference, Theory and Applications (MOPTA 03), Mc Master University, Hamilton, Canada, July 30 - August 1, 2003.
  13. ABS Solution of Linear Diophantine Systems, First Joint Meeting of CMS and SIAM, 24th Annual Meeting of CAIMS/SCMAI, 2003 SIAM Annual Meeting, Montreal, Canada, June 16-20, 2003.
  14. ABS Solution of Full Row Rank Linear Inequality Systems Over Real and Integer Spaces, 2003 Canadaian Mathematical Society (CMS), Annual Meeting, University of Alberta, Edmonton, Canada (Invited Talk), June 14-16, 2003.
  15. Solving Diophantine Linear Equations and Rank-One Perturbed Systems by ABS Methods, Southern Ontario Numerical Analysis Day, (SONAD 2003), McMaster University, Hamilton, Canada, May 2, 2003.
  16. A New Approach for Solving Linear Equations Based on the ABS Methods, (with M. Adib, in Persian), The Second Seminar on Numerical Analysis, Imam Hossein University, Tehran, Iran, Jan. 27-28, 1999.
  17. ABS Methods and Solving Linear Diophantine Systems, (with H. Esmaeili, in Persian), The Second Seminar on Numerical Analysis, Imam Hossein University, Tehran, Iran, Jan. 27-28, 1999.
  18. Multiresolution Surfaces Having Arbitrary Topologies, (with F.F. Samavati, in Persian), The Second Seminar on Numerical Analysis, Imam Hossein University, Tehran, Iran, Jan. 27-28, 1999.
  19. A Trust Region Method for Solving Unconstrained Optimization Problems, (with M.R. Oskoroochi, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  20. Implementation and Testing of Huang’s Methods for Solving Linear Systems, (with H. Esmaeili, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  21. Computational Geometric Design with Some Applications, (with F. Famil Samavati, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  22. An Automatic Transformation of Digital Patterns into Geometric Models, (with F. Famil Samavati, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  23. Numerically Stable Methods for Solving Linear and Quadratic Programming Problems, (with G. Ghahramanians Ghasemkandi, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  24. Controllability in the Software for B-spline Models in Geometric Design, (with H. Mohammadzadeh, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  25. Software for B-spline Models in Geometric Design, (with S. Musavi, in Persian), The First Numerical Analysis Seminar in Iran, Sharif University of Technology, Tehran, Iran, Nov. 4–5, 1995.
  26. Successive Quadratic Programming and Exact Penalty Methods for Solving Optimization Problems, 25th Annual Iranian Mathematics Conference Proceedings, Sharif University of Technology, Tehran, Iran, March 28–31, 1994.
  27. Periodic Solution for Certain Nonlinear Second Order Autonomous Equation, (with B. Mehri), 23rd Annual Iranian Mathematics Conference, Razi University , Kermanshah, Iran, April 7–10, 1992.
  28. An Exact Penalty Algorithm Using Projected Structured BFGS Hessian Updates for Solving Constrained Nonlinear Least Squares Problems, SIAM Conference on Optimization, Boston, MA., U.S.A., April 3–5, 1989.
  29. Nonlinearly Constrained Nonlinear Programming: An Exact Penalty Approach with Projected Hessian Updates, The 13th International Symposium on Mathematical Programming, Chuo University, Tokyo, Japan, August 29–September 2, 1988.
  30. Modeling Optimization Test Problem with a Finite Number of Characterized Points, First International Conference on Industrial and Applied Mathematics, Institute National de Recherche en Informatique et en Automatique, Paris, France, June 29 – July 3, 1987.
  31. Nonlinear Programming Models for Testing Nonlinear Programming Algorithms, (with R.H. Bartels), The International Conference on Numerical Optimization and Applications, Xian Jiaotong University, Xian, Shaanxi, China, June 14–17, 1986.
  32. An Automatic Nonlinear Programming Test Problem Generator with a Finite Number of Characterized Points, (with R.H. Bartels), 12th International Symposium on Mathematical Programming, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A., August  5–9,1985.
  33. An Exact Penalty Method for Solving Nonlinearly Constrained Nonlinear Least Squares Problems, (with R.H. Bartels), 11th Dundee Biennial Conference on Numerical Analysis, University of Dundee, Dundee, Scotland, June 25–28,  1985.
  34. Generating Nonlinear Programming Test Problems, (with R.H. Bartels), XI. International Symposium on Mathematical Programming, Bonn University, Bonn, West Germany, August 23–27, 1982.
  • Technical Reports
  1. Solving Rank one Perturbed Linear Diophantine Systems by the ABS Methods, (with K. Amini), TR No. 4, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 15 Pages, 2002.
  2. Algorithms for Computing the Greatest Common Divisor and their Applications to Solving Single Linear Diophantine Equations, (with H. Esmaeili, in Persian), TR No. 3, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 22 Pages, 2002.
  3. Radar Imaging of Perfectly Conducting Cylinders Using Cubic B-Splines and Genetic Algorithm, (with K. Barkeshli and M. Mokhtari), TR No. 2, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 23 Pages, 2002.
  4. Karmarkar’s Interior Point Methods and Use of ABS Methods for Solving Linear Programming Problems: Numerical Results, (with M. Salahi, in Persian), TR No. 1, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 16 Pages, 2002.
  5. Generating the Integer Null Space and Conditions for Determination of an Integer Basis Using the ABS Algorithms, (with H. Esmaeili and E. Spedicato), TR No. 12, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Italy, 14 Pages, 2001.
  6. ABS Solution of a Class of Linear Integer Inequalities and Integer LP Problems, (with H. Esmaeili and E. Spedicato), TR No. 3, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Italy, 11 Pages, 2001.
  7. Explicit ABS Solution of a Class of Linear Inequality Systems and LP Problems, (with H. Esmaeili and E. Spedicato), TR No. 2, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Italy, 16 Pages, 2001.
  8. Solving Some Linear Inequality Systems and LP Problems in Real and Integer Spaces via the ABS Algorithms, (with H. Esmaeili), TR No. 13, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Italy, 20 Pages, 2000.
  9. ABS Type Methods for Solving m Linear Equations in m/2 Steps, (with M. Adib and E. Spedicato), TR No. 8, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Italy, 22 Pages, 2000.  (An earlier version was also published as “A New ABS Based Approach for Solving Linear Systems with a Rank two Update of the Abaffian”, (with M. Adib), TR No. 8, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 22 Pages, 1999).
  10. Broyden’s Method as an ABS Algorithm, (with M. Adib and E. Spedicato), TR No.  1, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Italy, 12 Pages, 2000. (Also published as TR No. 5 with the same title  and authors, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 14 Pages, 1999.)
  11. A New ABS-type Approach for the Solution of Linear Systems with a Rank Two Update of the Abaffian Matrix, (with M. Adib, in Persian), TR No. 7, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 20 Pages, 1999.
  12. ABS Methods and Solution of Linear Diophantine Equations, (with H. Esmaeili, in Persian), TR No. 3, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 24 Pages, 1999.
  13. Solution of Diophantine Linear Systems via the ABS Algorithms, (with H. Esmaeili and E. Spedicato), TR No. 29, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Bergamo, Italy, 22 Pages, 1999. (An earlier version was also published as “ABS Methods and Solving Diophantine Linear Systems”, (with H. Esmaeili and E. Spedicato), TR No. 4, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 25 Pages, 1999.)
  14. Broyden’s Method within the ABS Class of Algorithms, (with M. Adib, in Persian), TR No. 2, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 15 Pages, 1999.
  15. A Local Method for Multiresolution of Smooth Models, (with F.F. Samavati, in Persian), TR No. 1, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, Iran, 13 Pages, 1999.
  16. A Filtered B-spline Model of Scanned Digital Images, (with F. Famil Samavati), TR No. CS-98-01, Department of Computer Science, York University, 16 pages, Jan. 1998.
  17. ABS Methods for Solving Linear Systems, (with H. Esmaeili, in Persian), TR No. 4, Department of Mathematical Science, Sharif University of Technology, Tehran, Iran, 14 pages, 1996.
  18. pline Modeling, Generation, and Representations, (with S. Musavi, in Persian), TR No. 3, Department of Mathematical Science, Sharif University of Technology, Tehran, Iran, 32 pages, 1996.
  19. Iterative Methods for Solving Linear Systems, (with H. Esmaeili, in Persian), TR No. 2, Department of Mathematical Science, Sharif University of Technology, Tehran, Iran, 15 pages, 1996.
  20. Seydnejad), TR No. 4, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 13 pages, 1994.
  21. Geometric Modeling in Computers and Computer Graphics, (with F. Famil Samavati, in Persian), TR No. 3, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 18 pages, 1994.
  22. An Exact Penalty Method with Reduced Hessian Updates for Solving Constrained Optimization Problems, TR No. 2, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 9 pages, 1993.
  23. Optimization in Electrical Tomography, (with S.R. Seydnejad, in Persian), TR No. 3, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 7 pages, 1993.
  24. Generating Constrained Nonlinear Programming Test Problems Having a Characterized Optimal Point, TR No. 4, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 18 Pages, April 1992.
  25. Periodic Solution of Certain Three Dimensional Autonomous Systems, (with B. Mehri), TR No. 7, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, 7 Pages, December 1991.
  26. Nonlinear Programming Test Problem Models Having Multi-point Characterizations, Technical Report No. CS-88-04, Department of Computer Science, York University, 20 Pages, February 1988.
  27. Constrained Nonlinear Least Squares: An Exact Penalty Approach with Projected Structured Quasi-Newton Updates, (with R.H. Bartels), Technical Report No. CS-87- 13, Department of Computer Science, York University, 21 Pages, October 1987.
  28. CNLLS: A Nonlinearly Constrained Nonlinear Least Squares Test Problem Generator, Technical Report No. CS-87-08, Department of Computer Science, York University, 54 Pages, June 1987 (Revised from TR CS-86-11).
  29. CNLLS: A Nonlinearly Constrained Nonlinear Least Squares Test Problem Generator, Technical Report No. CS-86-11, Department of Computer Science, York University, 51 Pages, October 1986.
  30. Constrained Nonlinear Least Squares: An Exact Penalty Approach with Structured Quasi-Newton Updates, (with R.H. Bartels), Technical Report No. CS-86-03, Department of Computer Science, York University, 18 Pages, March 1986.
  31. On Generating Test Problems for Nonlinear Programming Algorithms, (with R.H. Bartels), Technical Report No. CS-83-05, Department of Computer Science, York University, 30 Pages, August 1983.
  • Mathematical Software
    • Numerical Nonlinear Optimization Software Package Available:

      1) Software for Solving Generally Constrained Nonlinear Least Squares Problems: Exact Penalty Method with Projected Structured Quasi-Newton Updates, (with R.H. Bartels).
      2) Software for Solving Generally Constrained Nonlinear Least Squares Problems: The Successive Quadratic Programming with Watchdog Technique.
      3) Software to Generate Generally Constrained Nonlinear Least Squares Test Problems with one Single Prescribed Point as an Optimizer.
      4) Software to Generate Generally Constrained Nonlinear Programming Test Problems with One Single Prescribed Point as an Optimizer.
      5) Software for Solving Generally Constrained Nonlinear Programming Problems: Exact Penalty Method with Projected Quasi-Newton Updates, (with R.H. Bartels)
  • Invited Seminars
      1. Solutions of Fuzzy LR Systems Using Optimization Models, Department of Physics, Sharif University of Technology, Tehran, Iran, December 10, 2017.
      2. A robust and efficient combined trust region-line search exact penalty projected structured approach for constrained nonlinear least squares problems, Department of Computer Science, Numerical Analysis and Scientific Computing Group, University of Toronto, Toronto, Canada, August 15, 2017.
      3. A robust and efficient combined trust regionline search approach for constrained nonlinear least squares problems, RMIT Optimization Group, RMIT University, Melbourne, Australia, July 7, 2017.
      4. Constrained nonlinear least squares: an exact penalty approach, Center for Informatics and Applied Optimisation, Federation University, Ballarat, Australia, July 6, 2017.
      5. A short course on nonlinear optimization (4 two hour seminar series), Department of Computer Science, University of Calgary, Calgary, Canada, July 2015.
      6. A robust and efficient combined trust regionline search exact penalty projected structured approach for constrained nonlinear least squares problems, Department of Computer Science, University of Calgary, Calgary, Canada, July 2015.
      7. Direct Methods for Solving Positive Definite Total Least Squares Problems Using Orthogonal Matrix Decompositions, Department of Computer Science, University of Calgary, Calgary, Canada, July 2014.
      8. Constrained Nonlinear Least Squares, Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, November 2013.
      9. Constrained nonlinear least squares: an exact penalty approach with structured approximate projected Hessian updates, Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China, August 2, 2012.
      10. Fuzzy LR linear systems: New characterizations and algorithms for solutions, Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China, August 2, 2012.
      11. Integer ABS Class of Algorithms for Solving Linear Diophantine Equations, Department of Mathematics, University of Montpellier II, Montpellier, France, September 2006.
      12. Rosser’s Algorithm as an ABS Algorithm and New Integer Extended ABS Class of Algorithms, Department of Mathematics, Statistics and Informatics, University of Bergamo, Bergamo, Italy, September 2006.
      13. ABS Methods and Diophantine Equations, Department of Applied Mathematics, Sheikh Bahaee University, Isfahan, June 2006.
      14. Application of ABS Algorithms to Solve Inequality Systems, Department of Mathematics, Dalian University of Technology, Dalian, China, August 16, 2005.
      15. Application of ABS Algorithms to Solve Diophantine Equations and Integer Optimization Problems, Department of Mathematics, Dalian University of Technology, Dalian, China, August 15, 2005.
      16. Solving Diophantine Systems and Optimization Problems Using ABS Methods, Mathematics Seminar Series in Research Week, Sharif University of Technology, Tehran, Iran, Dec. 12, 2005.
      17. ABS Solution of Full Row Rank Linear Inequality Systems over Real and Integer Spaces, Department of Mathematics, Tarbiat Modarres University, Tehran, Iran, June 2004.
      18. ABS Solution of Full Row Rank Linear Inequality Systems over Real and Integer Spaces, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, May 2004.
      19. Matrix Computations and Optimization, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, April 2004.
      20. Classes of ABS Methods for Solving Diophantine Equations, Certain Inequalities and LP Problems, Department of Computing and Software, Advanced Optimization Laboratory, McMaster University, Hamilton, Canada, March   2003.
      21. ABS Solution of a Class of Linear Inequality Systems and LP Problems over Real and Integer Spaces, Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman, September 2002.
      22. ABS Methods for Solving System of Linear Diophantine Equations, Certain Inequalities and LP Problems, Optimization Group, Department of Mathematics, Dalian University of Technology, Dalian, China, May 2001.
      23. ABS Methods for Solving System of Linear Diophantine Equations, Certain Inequalities and LP Problems, Department of Mechanics, Dalian University of Technology, Dalian, China, May 2001.
      24. ABS Solution of a Class of Linear Inequality Systems and LP Problems over Real and Integer Spaces, Department of Mathematics, University of Ferrara, Ferrara, Italy, April 2001.
      25. ABS Solution of a Class of Linear Inequality Systems and LP Problems over Real and Integer Spaces, Department of Mathematics, University of Tehran, Tehran, Iran, February 2001.
      26. ABS Methods for Solving Diophantine Systems of Equations, Inequalities and Certain LP Problems, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Bergamo, Italy, September  2000.
      27. Solving Diophantine Equations and Full Rank Inequalities via ABS Methods, Department of Mathematics and Computer Science, University of Kerman, Kerman, Iran, June 2000.
      28. Design and Analysis of New Algorithms in Optimization, Research Achievements Seminar, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, Feb. 18, 2000.
      29. ABS Methods for Solving Systems of Diophantine Equations, Department of Mathematics and Computer Science, University of Tehran, Tehran, Iran, June 1999.
      30. ABS Methods for Solving System of Linear Integer Equations and Inequalities with Applications to LP Problems, Department of Mathematics, Tarbiat Modarres University, Tehran, Iran, May 1999.
      31. Mathematical Models for Compact Digital Image Representations, Research Achievements Seminar, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, Feb. 18, 1999.
      32. Nonlinear Programming Test Problem Models Having Numerical Specifications, Department of Mathematics and Computer Science, University of Tehran, Tehran, Iran. Nov. 1, 1998.
      33. Generating Nonlinear Programming Test Problems, Department of Mathematics, Statistics, Informatics and Applications, University of Bergamo, Bergamo, Italy, March 23, 1998.
      34. ABS Iterative Methods for Solving Linear Integer Systems and Their Applications to Optimization, Research Achievements Seminar, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, Feb. 18, 1998.
      35. Iterative Methods for Solving Linear Systems, Research Achievements Seminar, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, Feb.  15, 1997.
      36. Geometric Reconstruction of Texts and Fonts from Scanned Image, Research Achievements Seminar, Department of Mathematical Sciences, Sharif University of Technol- ogy, Tehran, Iran, Feb. 15, 1997.
      37. Solving Constrained Optimization Problems by Reduced Hessian Updates, Department of Mathematics and Computer Science, Amir Kabir Polytechnic University, Tehran, Iran, Sept. 1996.
      38. On Solving Optimization Problems, The Graduate School of Basic Sciences, Zanjan, Iran, August 1996.
      39. An Exact Penalty Method for Solving Constrained Nonlinear Least Squares Problems, Department of Mathematics and Computer Science, University of Tehran, Tehran, Iran, April 1996.
      40. An Exact Penalty Approach with BFGS Projected Hessian Updates for Solving Optimization Problems, The Graduate School of Basic Sciences, Zanjan, Iran, September 1995.
      41. A Numerical Algorithm for Solving Optimization Problems, Department of Mathematics, University of Mazandaran, Babolsar, Iran, January 1995.
      42. Solving Constrained Nonlinear Least Squares Problems, Department of Mathematics, University of Isfahan, Isfahan, Iran, December  1994.
      43. Successive Quadratic Programming Approach for Solving Nonlinear Optimization Problems, Department of Mathematics, Tarbiat Modarres University, Tehran, Iran, Nov. 1994.
      44. Unconstrained Nonlinear Optimization, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, June 1992.
      45. Constrained Nonlinear Optimization, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, June 1992.
      46. On Generating Nonlinear Optimization Problems, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, April 1991.
      47. An Exact Penalty Algorithm Using Projected Structured BFGS Hessian Updates for Solving Constrained Nonlinear Least Squares Problems, Department of Computer Science, York University, North York, Ontario, Canada, November 1988.
      48. An Implementation of an Exact Penalty Algorithm for Solving Constrained Nonlinear Least Squares Problems, School of Engineering and Computer Science, California State University,  Sacramento, California,  U.S.A.,  December 1986.
      49. Modeling Optimization Test Problems with a Finite Number of Characterized Points, Department of Computer Science, University of Toronto, Toronto, Ontario, Canada, November 1986.
      50. Generating Nonlinear Programming Test Problems, Department of Computer Science, York University, North York, Ontario, Canada, May 1982.
      51. Nonlinear Programming Test Problem Generation, Department of Computer Science, University of Windsor, Ontario, Canada, May 1982.
      52. Test Scenarios in Nonlinear Programming, Department of Computer Science, University of Toronto, Toronto, Ontario, Canada, April 1982.
      53. Generating Nonlinear Programming Test Problems, Department of System Design, University of Waterloo, Waterloo, Ontario, Canada, April 1982.
      54. Nonlinear Least Squares and Test Problem Generation, Department of Mathematics, St. Mary’s University, Halifax, Nova Scotia, Canada, March 1982.
      55. Nonlinear Optimization Test Problem Generation, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada, April 1982.
  • Invited Panel Discussion
    • 1)

      What is Applied Mathematics, and Applied Mathematics in Iran? Speaker of the Panel, Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, November 2013.

      2) University Curriculum in Mathematical Sciences in Iran, Member of the Panel, 4th Iranian Conference on Applied Mathematics, University of Sistan and Baluchestan, Zahedan, Iran, March 10-12, 2010.
      3) Mathematics and Engineering, Member of the Panel, Symposium on Mathematics and Communications, Iran Telecom Research Center, Tehran, Iran, Oct. 19, 2000.
      4) University Curriculum in Computer Science in Iran, Member of the Panel, Fourth Annual International CSI Computer Conference (CSICC’98), Tehran, Iran, Jan. 27, 1999.
      5) University Curriculum in Computer Science, Member of the Panel, The First Annual CSI Computer Conference (CSICC ’95), Tehran, Iran, Dec. 1995.
      6) Ph.D. Program in Applied Mathematics, Member of the Panel, The First Numerical Analysis Seminar in Iran, Tehran, Iran, Nov. 1995.
      7) Scientific Software Production, Chairman of the Panel, The First Numerical Analysis Seminar in Iran, Tehran, Iran, Nov. 1995.