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• Books

1- Limit and Continuity (In Persian), Tehran, Iran, 2002

2- Scientific Editor of the book ”Matrix Theory: Basic Results and Technics”, Written by Zhang Fuzhen, Translated to Persian by M. Adib and F. Mirzapour, 2007

3- Two New Proximity Functions for Feasible Interior Point Methods and a show of an Ill-behaved Central Path, Ph.D. Thesis, Central Library of Sharif University of Technology, 2005

4- Sequential System of Linear Equations (SSLE) Method for Solving Nonlinear Optimization Problems, M.Sc. Thesis, Central Library of Sharif University of Technology, 1999

 

• Published Papers

1-An Algorithm for Solving Quadratic Programming via ABS Methods, Joint work with N. Mahdavi-Amiri, Technical Report, Sharif University of Technology, 12 pages, 2003.

2- ABS-type Methods for Solving Full Row Rank Linear Systems Using a New Rank Two Update, Joint work with K. Amini and N. Mahdavi-Amiri, Bulletin of the Australian Mathematical Society, 69: 17-34, 2004.

3- An Interior Point Algorithm for Linear Optimization Based on a New Kernel Function, Joint work with K. Amini, The Southeast Asian Bulletin of Mathematics, 32: 1-18, 2005.

4- An Interior Point Method for Linear Programming Based on a Class of Kernel Functions, Joint work with K. Amini, Bulletin of the Australian Mathematical Society, 71: 139-153, 2005.

5- The Central Path Visits all the Vertices of the Klee-Minty Cube, Joint work with A. Deza, E. Nematollahi and T. Terlaky, Optimization Methods and Software, 21(5): 849-863, 2006.

6- Complexity Analysis of Interior-Point Methods for Linear Optimization Based on Some Conditions on Kernel Function, Joint work with K. Amini, Applied Mathematics and Computation, 176: 194- 207, 2006.

7- Extended Reduced Rank Two Abaffian Update Schemes in the ABStype Methods, Joint work with K. Amini and N. Mahdavi-Amiri, Applied Mathematics and Computation, 185(1): 255-265, 2007.

8- New Complexity Analysis of IIPMs for Linear Optimization Based on a Specific Self-Regular Function, Joint work with M. Salahi and T. Terlaky, European Journal of Operation Research, 186(2) 466-485, 2008.

9- An Interior-Point Approach for Semidefinite Optimization Using New Proximity Functions, Asia-Pacific Journal of Operational Research, 26(3) 365-382, 2009.

10- Exploring Complexity of Large Update Interior-Point Methods for P (k)-Linear Complementarity Problem Based on Kernel Function, Joint work with Keyvan Amini, Applied Mathematics and Computation, 207(2) 501-513, 2009.

11- New proximity and complexity result for P_*(\kappa)-linear complementarity problem, PAMM Proc. Appl. Math. Mech., 7: 2060081-2060082, 2007. doi:10.1002/pamm.200701106.

12- An interior point method for semidefinite programming based on new kernel functions, Modelling of Engineering and Technological Problems, AIP Conference Proceeding, CP1146: 441-456, 2009.

13- A kernel function based interior-point methods for solving P_*(\kappa)-linear complementary problem, Joint work with K. Amini, Acta Mathematica Sinica, 26(9): 1761-1778, 2010.

14- A Hybrid Model based on Neural Network and Hybrid Genetic Algorithm for Automotive Price Forecasting, Joint work with R. Khanduzi, International Journal of Applied Mathematics and Computation, 3(3): 158-168, 2011.

15- Predictability and forecasting automotive price based on a hybrid train algorithm of MLP neural network, Joint work with R. Khanduzi, Neural Computing and Applications, 21:125-132, 2012.

16- A nonmonotone trust-region line search method for large-scale unconstrained optimization, Joint work with M. Ahookhosh and K. Amini, Applied Mathematical Modelling, 36:478-487, 2012

17- On the Quadratic Model for Unrelated Parallel Machine Scheduling Problem with Restrictive Common Due Date, Joint work with M.S. Beyranvand and M. Ghatee, Optimization Letters, 6(8):1897-1911, 2012.

18- An Interior-Point Algorithm for Solving Inverse Linear Optimization Problem, Joint work with Z. Akbari, Optimization, 61(4):373-386, 2012.

19- Optimal Rate for Irregular LDPC Codes in Binary Erasure Channel, Joint work with H. Tavakoli and M. Ahmadian Attari, IEEE Information Theory Workshop (ITW 2011), arXiv:1108.1572v1, 2011.

20- Pilot-Based Individual Forward and Backward Channel Estimation In Amplify-and-Forward OFDM Relay Networks, Joint work with B. Zahedi, M. Ahmadian Attari, K. Mohamed-pour, M. Norouzi, and S. Salari, IFIP Wireless Days 2011, Ontario, Canada, 2011.

21- Filter-And-Forward Relay Beamforming in Cognitive Two-Way Relay Networks, Joint work with A. Piltan, D. Mirzahosseini, and S. Salari, IEEE ANTS 2011, India, 2011.

22- Optimal rate and maximum erasure propability LDPC codes in binary erasure channels, Joint work with H. Tavakoli, M. Ahmadian Attari, Communication, Control, and Computing (Allerton), 2011 49th Annual Allerton Conference on, 2011, arXiv: 1203.4385.

23- Optimal rate irregular low-density parity-check codes in binary erasure channel, Joint work with H. Tavakoli, M. Ahmadian Attari, IET Communications, 6(13): 2000-2006, 2012.

24- Complexity of interior-point methods for linear optimization based on a new trigonometric kernel function, Joint work with S. Fathi and L. Shirvani, Journal of Computational and Applied Mathematics, 255:74-85, 2014.

25- Novel MLP Neural Network with Hybrid Tabu Search Algorithm, Joint work with R. Khanduzi, Neural Network World, 23(3): 255-270, 2013.

26- Some Explicit Class of Hybrid Methods for Optimal Control of Volterra Integral Equations, Joint work with M. Hadizadeh and A. Ebrahimzadeh, Journal of Information and Computing Science, 7(4):253-266, 2012.

27- A New Mathematical Approach based on Conic Quadratic Programming for the Stochastic Time-Cost Tradeoff Problem in Project Management, Joint work with A. Aghaee and H. Mokhtari, Journal of Industrial Engineering and Production Research, 24(3):177-187, 2013.

28- A mixed integer nonlinear programming model for the optimal repair-replacement in the firm, Joint work with N. Motamedi and M. Hadizadeh, Mathematical Social Sciences, 66:366-371, 2013.

29- Complexity analysis of an interior-point algorithm for linear optimization based on a new proximity function, Joint work with S. Fathi Hafshejani, Accepted for publication in Numerical Algorithms, 67:33-48, 2014.

30- A new nonmonotone trust region method for unconstrained optimization equipped by an efficient adaptive radius, Joint work with D. Ataee Tarzanagh and H. Mesgarani, Optimization Methods and Software, 29(4):819-836, 2014.

31- A new trust region method for solving least-square transformation of system of equalities and inequalities, Joint work with D. Ataee Tarzanagh, Z. Saeidian and H. Mesgarani, Optimization Letters, 9:283-310, 2015.

32- A new nonsmooth trust region algorithm for locally lipschitz unconstrained optimization problems, Joint work with Z. Akbari and R. Yousefpour, Journal of Optimization Theory and Applications, 164:733-754, 2015.

33- A Nonlinear Integral Model of Optimal Replacement: Numerical viewpoint, Joint work with N. Motamedi and M. Hadizadeh, Communications in Numerical Analysis, 2014:cna 00207, 9 pages, 2014. doi: 10.5899/2014/cna-00207

34- An interior-point method for $P_*(\kappa)$-linear complementarity problem based on a trigonometric kernel function, Joint work with S. Fathi Hafshejani, Journal of Applied Mathematics and Computing, 48:111-128, 2015.

35- Solving continuous single-objective defensive location problem based on hybrid directed tabu search algorithm, Joint work with R. Khanduzi and H. Maleki, International Journal of Advanced Manufacturing Technology, 76:295-310, 2015.

36- A new class of efficient and globally convergent conjugate gradient methods in the Dai-Liao family, Joint work with H. Ahmadzadeh and A. Fazli, Optimization Methods & Software, 2015. doi: 10.1080/10556788.2014.1001511.

37- A relaxed nonmonotone adaptive trust region method for solving unconstrained optimization problems, Joint work with D. Ataee Tarzanagh, Computational Optimization and Applications, 61:321-341, 2015.

38- A new nonmonotone filter Barzilai-Borwein method for solving unconstrained optimization problems, Joint work with F. Arzani, International Journal of Computer Mathematics, 2015. doi: 10.1080/00207160.2015.1009903.

 39- A limited memory adaptive trust-region approach for large-scale unconstrained optimization, Joint work with K. Amini, M. Kimiaei and M. Ahookhosh, Accepted for publication in Bulletin of the Iranian Mathematical Society, 2015.

40- A new regularized limited memory BFGS-type method based on modified secant conditions for unconstrained optimization problems, Joint work with D. Ataee Tarzanagh, Journal of Global Optimization, 2015. doi: 10.1007/s10898-015-0310-7.

41- A new trust-region method for solving systems of equalities and inequalities, Joint work with Z. Saeidian, M. Habibi and S. Ghasemi, Computational & Applied Mathematics, 2015. doi: 10.1007/s40314-015-0257-9.

42- An adaptive nonmonotone trust region method for unconstrained optimization problems based on a simple subproblem, Joint work with Z. Saeidian, to appear in Iranian Journal of Numerical Analysis and Optimization, 2015.

43- A New Nonmonotone Adaptive Retrospective Trust Region Method for Unconstrained Optimization Problems, Joint work with D. Ataee Tarzanagh and Fabian Bastin, to appear in Journal of Optimization Theory and Applications, 2015.

44- A large-update primal-dual interior-point algorithm for second order cone optimization based on a new proximity function, Joint work with S. Fathi Hafshejani and H. Mansouri, Accepted for publication in Optimization, 2015.

45- A filtered nonmonotone approach for solving nonlinear systems of equations (in Persian), Joint work with F. Arzani, Accepted for publication in Journal of Operations Research and its Applications (ISC version-Persian), 2016.

46- A primal-dual interior-point method for semidefinite optimization based on a class of trigonometric barrier functions, Joint work with  S. Fathi Hafshejani and Michael Chen, Accepted for publication in Operations Research Letters, 2016.

47- An interior point algorithm for solving convex quadratic semidefinite optimization problems using a new kernel function, Joint work with  S. Fathi Hafshejani, Accepted for publication in Iranian Journal of Mathematical Sciences and Informatics, 2016.

48- An approach based on dwindling filter method for positive definite generalized eigenvalue problem, Joint work with F. Arzani, Accepted for publication in Computational & Applied Mathematics, 2016.

49- An approach based on statistical spline model for Volterra-Fredholm integral equations, Joint work with A.H. Salehi Shayegan and A. Zakeri, Computational Methods for Differential Equations, 4(1): pp. 30-42, 2016.

50- A nonmonotone PRP conjugate gradient method for solving square and under-determined systems of equations, Joint work with D. Ataei Tarzanagh and P. Nazari, Accepted for publication in Computer & Mathematics with Applications, 2016.

51- A new nonsmooth trust-region method equipped with a line search for minimizing locally Lipschitz functions, Joint work with Z. Akbari and R. Yousefpour, Accepted for publication in Pacific Journal of Optimization, 2017.

52- A new dwindling nonmonotone filter method without gradient information for solving large-scale systems of equations, Joint work with F. Arzani, Accepted for publication in Iranian Journal of Numerical Analysis and Applications, 2017.

53- Data envelopment analysis and interdiction median problem with fortification for enabling IoT technologies to relieve potential attacks, Joint work with R. Khanduzi and A.K. Sangaiah, Accepted for publication in Future Generation Computer Systems, 2017.

54- A unified complexity analysis of interior point methods for semidefinite problems based on trigonometric kernel functions, Joint work with S. Fathi Hafshejani and M. Fakharzadeh Jahromi, Accepted for publication in Optimization, 2017.

55- An interior-point algorithm for $P_{ast}(kappa)$-linear complementarity problem based on a new trigonometric kernel function, Joint work with S. Fathi Hafshejani and H. Mansouri, Accepted for publication in Journal of Mathematical Modeling, 2017.

56- A modified teaching learning based optimization for optimal control of Volterra integral systems, Joint work with R. Khanduzi and A. Ebrahimzadeh, Accepted for publication in Soft Computing, 2017.

57- A New Conjugate Gradient Algorithm with Cubic Barzilai-Borwein Stepsize for Unconstrained Optimization, Joint work with M. Momeni, Accepted for publication in Optimization Methods & Software, 2017.

58- Primal-dual interior-point method  for linear optimization based on a kernel function with trigonometric growth term, Joint work with H. Mansouri, S. Fathi Hafshejani and S. Chen, Accepted for publication in Optimization, 2018.

59- Accelerated gradient and block-wise gradient methods for big data factorization, Joint work with K. Young, S. Chen, Z. Yang and M. Ataei, Canadian AI 2018, LNAI 10832, pp. 1-8, 2018.

60- Complexity of Interior Point Methods for a Class of Linear Complementarity Problems Using a Kernel Function with Trigonometric Growth Term with S. Fathi, A. Fakharzadeh and S. Chen, Accepted for publication in Journal of Optimization Theory and Applications, 2018.

 

 • Papers in Conferences

ABS-type Methods for Solving Full Row Rank Linear Systems Using a New Rank Two Update, K. Amini, N. Mahdavi-Amiri, M.R. Peyghami, 34th Annual Iranian Mathematics Conference, Shahrood University, Shahrood, Iran, August 2003.

2- Extended Reduced Abaffian Rank Two Update Schemes in the ABS Methods, K. Amini, N. Mahdavi-Amiri, M.R. Peyghami, The Mathematics of Information Technology and Complex Systems (MITACS), Halifax, Nova Scotia, Canada, June 2004.

3- The Central Path Visits all the Vertices of the Klee-Minty Cube, A. Deza, E. Nematollahi, R. Peyghami and T. Terlaky, First International Conference on Modeling, Simulation and Applied Optimization (ICMSAO’05), American University of Sharjah, Sharjah, UAE, February 2005.

4- The Central Path Visits all the Vertices of the Klee-Minty Cube, A. Deza, E. Nematollahi, R. Peyghami and T. Terlaky, 36th Annual Iranian Mathematics Conference, Yazd University, Yazd, Iran, September 2005.

5- An Efficient Way to Solve the Newton Systems of Primal-Dual Infeasible Interior Point Methods Using ABS Algorithms, M. Khorramizadeh, 2th Conference on Optimization Methods & Software and 6th EUROPT Workshop on Advances in Continuous Optimization (EUROPT-OMS), Prague, Czech Republic, July 2007.

6- A Kernel Function Based Interior-Point Methods for Solving P_*(k)- Linear Complementarity Problem, 22th European Conference on Operational Research (EURO XXII), Prague, Czech Republic, July 2007

7- A Kernel Function Based Interior-Point Methods for Solving P_*(k)- Linear Complementarity Problem, 6th International Congress on Industrial and Applied Mathematics (ICIAM07), Zurich, Switzerland, July 2007

8- Image Denoising Using Interior-Point Methods, M. Vahdatnia, 38th Annual Iranian Mathematics Conference, Zanjan, Iran, September 2007

9- A Predictor-Corrector Interior-Point Methods for Solving Sufficient Linear Complementarity Problems in the Wide Neighborhood of Central Path, S. Aalami, 38th Annual Iranian Mathematics Conference, Zanjan, Iran, September 20071-

10- Semidfinite Optimization and its Application in the least square orthogonalization vectors, Y. Dastan, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran, September 2009.

11- Optimization of Gas Transmission probelm in a network by using an extension of the Simplex method, F. Arzani, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran, September 2009.

12- Maximizing Expected Return in Portfolio with New Constrains, S. Khosravi, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran, September 2009.

13- Solving inverse linear programming problem using interior point like framework, Z. Akari, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran, September 2009.

14- Time-cost trade off problem in pert networks and SDP relaxation, H. Mokhtari and A. Aghaei, EURO23, Bonn, Germany, 2009.

15- Cost minimization of the gas transmission problem through a network of pipelines using an extension of the Simplex method, F. Arzani, Second Iranian Pipe and Pipeline Conference, Tehran, Iran, 2009.

16- New proximity and semidefinite programming, EUROPT2009, Remagen, Germany, 2009.

17- Inverse problem of linear programming with minimum variation in right hand side vector, Z. Akbari, EURO24, Lisbon, Portugal, 2010.

18- An approach based on conic optimization and Monte Carlo technique for time-cost trade-off problem, H. Mokhtari, A. Aghaei, Mini Euro Conference EurOPT2010, Izmir, Turkey, 2010.

19- On the inverse linear programming problem, Z. Akbari, 3rd International Conference of Iranian Operations Research Society, Tehran, Iran, 2010.

20- Iterative methods for solving Volterra optimal control problems, A. Ebrahimzadeh. 3rd International Conference of Iranian Operations Research Society, Amirkabir University of Technology, Tehran, Iran, 2010.

21- An adaptive retrospective trust region method for unconstrained optimization, Z. Akbari, S. Zehtabian, 41st Annual Iranian Mathematics Conference, Urmia University, Urmia, Iran, September 2010.

22- The optimal replacements of machines in continuous time using integral equation approach, N. Moatamedi, 41st Annual Iranian Mathematics Conference, Urmia University, Urmia, Iran, September 2010.

23- Convex Quadratic Reformulations for Unrelated Parallel Machines Scheduling Problems, S. Beyranvand, 4th International Conference of Iranian Operations Research Society, Rasht, Guilan, Iran, 2011.

24- A Hybrid Metaheuristic Algorithm for Solving Continuous Defensive Location Problem, R. Khanduzi, 4th International Conference of Iranian Operations Research Society, Rasht, Guilan, Iran, 2011.

25- A new nonmonotone conic trust-region method for unconstrained optimization problems, M. Yavari, 4th International Conference of Iranian Operations Research Society, Rasht, Guilan, Iran, 2011.

 

• TALKS

1- Sequential System of Linear Equations (SSLE) Method for Solving Nonlinear Optimization Problems, Tabriz University, Tabriz, Iran, 2000.

2- ABS-type Methods for Solving Full Row Rank Linear Systems Using a New Rank Two Update, 34th Annual Iranian Mathematics Conference, Shahrood University, Shahrood, Iran, August 2003.

3- An O(\sqrt{n}L) Iteration Primal-Dual Interior Point Method for Monotone Linear Complementary Problem based on Large Neighborhoods and Large Updates, McMaster University, Hamilton, Ontario, Canada, 2004.

4- l_p-Norm Programming, joint talk with Oleksandr Romanko, McMaster University, Hamilton, Ontario, Canada, 2004.

5- The Central Path Visits all the Vertices of the Klee-Minty Cube, Institute of Physics and Theoretical Mathematics, Tehran, Iran, January 2005.

6- The Central Path Visits all the Vertices of the Klee-Minty Cube, First International Conference on Modeling, Simulation and Applied Optimization (ICMSAO’05), American University of Sharjah, Sharjah, UAE, February 2005.

7- The Central Path Visits all the Vertices of the Klee-Minty Cube, 36th Annual Iranian Mathematics Conference, Yazd University, Yazd, Iran, September 2005

8- The Central Path Visits all the Vertices of the Klee-Minty Cube, Tehran University, Tehran, Iran, October 2005

9- The Central Path Visits all the Vertices of the Klee-Minty Cube, Shahid Beheshti University, Tehran, Iran, December 2005

10- The Central Path Visits all the Vertices of the Klee-Minty Cube, Tarbiat Modarres University, Tehran, Iran, December 2006

11- An EfficientWay to Solve the Newton Systems of Primal-Dual Infeasible Interior Point Methods Using ABS Algorithms, 2th Conference on Optimization Methods & Software and 6th EUROPT Workshop on Advances in Continuous Optimization (EUROPT-OMS), Prague, Czech Republic, July 2007.

12- A Kernel Function Based Interior-Point Methods for Solving P_*(\kappa)-Linear Complementarity Problem, 22th European Conference on Operational Research (EURO XXII), Prague, Czech Republic, July 2007

13- Image Denoising Using Interior-Point Methods, 38th Annual Iranian Mathematics Conference, Zanjan, Iran, September 2007.

14- Time-cost trade off problem in pert networks and SDP relaxation, EURO23, Bonn, Germany, July 2009

15- New proximity and semidefinite programming, EUROPT2009, Remagen, Germany, 2009.

16- An approach based on conic optimization and Monte Carlo technique for time-cost trade-off problem, Mini Euro Conference EurOPT2010, Izmir, Turkey, 2010

17- On the Inverse Linear Optimization Problem in p-Norm, The Fourth International Conference on Mathematical Sciences (ICM2012), Al-Ain, UAE, 2012.

18- A new nonmonotone trust region method, 44th Annual Iranian Mathematics Conference, Mashhad, Iran, August 2013.

19- A new derevative-free nonmonotone line search for solving large-scale symmetric nonlinear equations, The Third In ternational Conference on Numerical Analysis and Optimization (NAOIII 2014), Muscat, Oman, January 2014.

20- An adaptive nonmonotone trust region method for solving systems of equalities and inequalities, The International Congress of Mathematicians (ICM2014), Seoul, Korea, August 2014.

21- On the line search and trust-region methods in unconstrained optimization, Seminar Series in Applied Mathematics, Amirkabir University, Tehran, Iran, May 2015

22- On the exploiting nonmonotone techniques and adaptive strategies in the framework of trust region methods, Third International Conference on Nonlinear Analysis and Optimization, Isfahan, Iran, May 2015