Shahid Beheshti University
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Masoud Hajarian
Associate professor

Faculty: Mathematical Sciences
Department:
Phone: 29905564
Email: m_hajarian@sbu.ac.ir
Personal website: http://faculties.sbu.ac.ir/~hajarian/

Academic Degrees

PhD, , Amirkabir University of Technology, Tehran, 2010.


Journal Articles
1. M. Hajarian, "Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices" , JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, pp.1-18, 2017.
2. H. Bozorgmanesh, M. Hajarian, "Convergence of a transition probability tensor of a higher-order Markov chain to the stationary probability vector" , NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, pp.1-17, 2016.
3. M. Hajarian, "Convergence analysis of generalized conjugate direction method to solve general coupled Sylvester discrete-time periodic matrix equations" , INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, pp.1-18, 2016.
4. M. Hajarian, "Convergence Results of the Biconjugate Residual Algorithm for Solving Generalized Sylvester Matrix Equation" , ASIAN JOURNAL OF CONTROL, pp.1-8, 2016.
5. M. Hajarian, "Extending the CGLS Method for Finding the Least Squares Solutions of General Discrete-Time Periodic Matrix Equations" , FILOMAT, Vol.30, pp.2503-2520, 2016.
6. M. Hajarian, "Finding solutions for periodic discrete-time generalized coupled Sylvester matrix equations via the generalized BCR method" , TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, pp.1-10, 2016.
7. M. Hajarian, "Gradient Based Iterative Algorithm to Solve General Coupled DiscreteTime Periodic Matrix Equations over Generalized Reflexive Matrices" , MATHEMATICAL MODELLING AND ANALYSIS, Vol.21, pp.533-549, 2016.
8. M. Hajarian, "Lanczos version of BCR algorithm for solving the generalizedsecond-order Sylvester matrix equation EVF GVH AVB CWD M" , IET CONTROL THEORY AND APPLICATIONS, pp.1-18, 2016.
9. M. Hajarian, "Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm" , JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, pp.1-16, 2016.
10. M. Hajarian, J. Yuan, I. Kyrchei, "Applications of Methods of Numerical Linear Algebra in Engineering 2016" , MATHEMATICAL PROBLEMS IN ENGINEERING, Vol.2016, pp.1-2, 2016.
11. M. Hajarian, "Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices" , NUMERICAL ALGORITHMS, pp.1-19, 2016.
12. M. Hajarian, "Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm" , JOURNAL OF VIBRATION AND CONTROL, pp.1-14, 2016.
13. H. Moghaderi, M. Dehghan, M. Hajarian, "A fast and efficient two-grid method for solving d-dimensional poisson equations" , NUMERICAL ALGORITHMS, pp.1-55, 2015.
14. M. Hajarian, "Convergence analysis of the MCGNR algorithm for the least squares solution group of discrete-time periodic coupled matrix equations" , TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, pp.1-14, 2015.
15. M. Hajarian, "Extending the CGLS algorithm for least squares solutions of the generalized transpose-Sylvester matrix equations" , JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015.
16. M. Hajarian, "Least Squares Solution of the Linear Operator Equation" , JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, Vol.2015, pp.1-15, 2015.
17. M. Hajarian, "Lower bounds for the product of the eigenvalues of the solutions to the matrix equations" , FILOMAT, Vol.29, pp.1179-1182, 2015.
18. M. Hajarian, "Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method" , APPLIED MATHEMATICS LETTERS, pp.1-9, 2015.
19. M. Hajarian, "A Finite Iterative Method for Solving the General Coupled Discrete-Time Periodic Matrix Equations" , CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015.
20. M. Hajarian, "Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations" , APPLIED MATHEMATICAL MODELLING, Vol.2015, pp.1-12, 2015.
21. M. Hajarian, "Matrix GPBiCG algorithms for solving the general coupled matrix equations" , IET CONTROL THEORY AND APPLICATIONS, Vol.1, pp.74-81, 2015.
22. M. Dehghan, M. Hajarian, "Modied AOR iterative methods to solve linear systems" , JOURNAL OF VIBRATION AND CONTROL, Vol.20, pp.661-669, 2014.
23. M. Dehghan, M. Hajarian, "Solving the system of generalized Sylvester matrix equations over the generalized centro-symmetric matrices" , JOURNAL OF VIBRATION AND CONTROL, Vol.20, pp.838-846, 2014.
24. M. Hajarian, "Convergence of ADGI methods for solving systems of linear matrix equations" , ENGINEERING COMPUTATIONS, Vol.3, pp.681-690, 2014.
25. M. Hajarian, "FINITE ITERATIVE METHODS FOR SOLVING SYSTEMS OF LINEAR MATRIX EQUATIONS OVER REFLEXIVE AND ANTI-REFLEXIVE MATRICES" , BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, Vol.40, pp.295-325, 2014.
26. M. Hajarian, "Matrix form of the CGS method for solving general coupled matrix equations" , APPLIED MATHEMATICS LETTERS, Vol.34, pp.37-42, 2014.
27. M. Hajarian, F. Ding, J. Chen, "Applications of Methods of Numerical Linear Algebra in Engineering" , MATHEMATICAL PROBLEMS IN ENGINEERING, Vol.2014, pp.1-2, 2014.
28. S. wu, S. Shen, M. Hajarian, J. liu, L. Krukier, "Numerical Methods of Complex Valued Linear Algebraic System" , JOURNAL OF APPLIED MATHEMATICS, Vol.2015, pp.1-2, 2014.
29. M. Hajarian, "A MATRIX LSQR ALGORITHM FOR SOLVING CONSTRAINED LINEAR OPERATOR EQUATIONS" , BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, Vol.40, pp.41-53, 2014.
30. M. Hajarian, "Developing Bi-CG and Bi-CR Methods to Solve Generalized Sylvester-transpose Matrix Equations" , International Journal of Automation and Computing, Vol.11, pp.25-29, 2014.
31. M. Hajarian, "Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations" , COMPUTATIONAL APPLIED MATHEMATICS, pp.1-19, 2014.
32. M. Hajarian, "Extending LSQR methods to solve the generalized Sylvester-transpose and periodic Sylvestermatrix equations" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014.
33. M. Hajarian, "Extending the GPBiCG algorithm for solving the generalized Sylvester-transpose matrix equation" , INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, pp.1-4, 2014.
34. M. Hajarian, "Matrix algorithms for solving the generalized coupled Sylvester and periodic coupled matrix equations" , TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, pp.1-9, 2014.
35. M. Hajarian, "The PMCGAOR and PMCSSOR methods for solving linear complementarity problems" , COMPUTATIONAL APPLIED MATHEMATICS, pp.1-14, 2014.
36. M. Dehghan, M. Hajarian, "Construction of an iterative method for solving generalized coupled Sylvester matrix equations" , TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2013.
37. M. Hajarian, "A Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems" , MATHEMATICAL MODELLING AND ANALYSIS, Vol.18, pp.561-576, 2013.
38. M. Hajarian, "A gradient-based iterative algorithm for generalized coupled Sylvester matrix equations over generalized centro-symmetric matrices" , TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2013.
39. M. Hajarian, "Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013.
40. M. Hajarian, "Efficient Iterative Solutions to General Coupled Matrix Equations" , International Journal of Automation and Computing, Vol.10, pp.481-486, 2013.
41. M. Hajarian, "Matrix form of the Bi-CGSTAB method for solving the coupled Sylvester matrix equations" , IET CONTROL THEORY AND APPLICATIONS, Vol.7, pp.1828-1833, 2013.
42. M. Hajarian, "Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations" , JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, Vol.350, pp.3328-3341, 2013.
43. M. Hajarian, "Solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices" , INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013.
44. M. Hajarian, "Solving the general coupled and the periodic coupled matrix equations via the extended QMRCGSTAB algorithms" , COMPUTATIONAL APPLIED MATHEMATICS, 2013.
45. M. Hajarian, "Solving the system of linear operator equations over generalized bisymmetric matrices" , TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2013.
46. M. Hajarian, "The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations" , APPLIED MATHEMATICS LETTERS, Vol.26, pp.1013-1017, 2013.
47. M. Hajarian, "The reflexive and Hermitian reflexive solutions of the generalized Sylvester-conjugate matrix equation" , BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, Vol.20, pp.639-653, 2013.
48. M. Hajarian, V. H., "Editorial Linear and Nonlinear Matrix Equations" , ABSTRACT AND APPLIED ANALYSIS, pp.1-10, 2013.
49. M. Dehghan, M. Hajarian, "On the generalized reflexive and anti-reflexive solutions to a system of matrix equations" , LINEAR ALGEBRA AND ITS APPLICATIONS, Vol.437, pp.2793-2812, 2012.
50. M. Hajarian, "Convergence of the descent Dai Yuan conjugate gradient method for unconstrained optimization" , JOURNAL OF VIBRATION AND CONTROL, Vol.18, pp.1249-1253, 2012.
51. M. Hajarian, "Solving coupled matrix equations over generalized bisymmetric matrices" , INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, Vol.10, pp.905-912, 2012.
52. M. Hajarian, "Fourth-order variants of Newton s method without second derivatives for solving non-linear equations" , ENGINEERING COMPUTATIONS, Vol.29, pp.356-365, 2012.
53. M. Hajarian, "Iterative algorithms for the generalized centro-symmetric and central anti-symmetric solutions of general coupled matrix equations" , ENGINEERING COMPUTATIONS, Vol.29, pp.528-560, 2012.
54. M. Hajarian, "The generalized Sylvester matrix equations over the generalized bisymmetric and skew-symmetric matrices" , INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, Vol.43, pp.1580-1590, 2012.
55. M. Dehghan, M. Hajarian, "Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations" , APPLIED MATHEMATICAL MODELLING, Vol.35, pp.3285-3300, 2011.
56. M. Dehghan, M. Hajarian, "ON DERIVATIVE FREE CUBIC CONVERGENCE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS" , COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, Vol.51, pp.555-561, 2011.
57. M. Dehghan, M. Hajarian, "On Deriverative free Cubic Convergence Interative Methods for Solving Nonlinear Eqations" , Computational mathmatics and mathmatical physics, Vol.51, pp.513-519, 2011.
58. M. Dehghan, M. Hajarian, "On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations" , LINEAR MULTILINEAR ALGEBRA, Vol.59, pp.1281-1309, 2011.
59. M. Dehghan, M. Hajarian, "The (R S)-symmetric and (R S)-skew symmetric solutions of the pair of matrix equations A_1XB_1 C_1 and A_2XB_2 C_2" , Vol.37, pp.269-279, 2011.
60. M. Dehghan, M. Hajarian, "Two class of synchronous matrix multisplitting schemes for solving linear complementarity problems" , JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol.235, pp.4325-4336, 2011.
61. M. Hajarian, "Solving the generalized Sylvester matrix equation sum p_ i 1 A_iXB_i sum q_ j 1 C_jYD_j E over reflexive and anti-reflexive matrices" , INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, Vol.9, pp.118-124, 2011.
62. M. Hajarian, M. Dehghan, "Convergence of an iterative method for solving Sylvester matrix equations over reflexive matrices" , JOURNAL OF VIBRATION AND CONTROL, Vol.17, pp.1295-1298, 2011.
63. M. Hajarian, "Improving preconditioned SOR-type iterative methods for L-matrices" , COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, Vol.27, pp. 774-784, 2011.
64. M. Hajarian, "On some cubic convergence iterative formulae without derivatives for solving nonlinear equations" , COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, Vol.27, pp.722-731, 2011.
65. M. Hajarian, "SSHI methods for solving general linear matrix equations" , ENGINEERING COMPUTATIONS, Vol.28, pp.1028-1043, 2011.
66. M. Hajarian, "The generalized centro-symmetric and least squares generalized centro-symmetric solutions of the matrix equation AYB CYTD E" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Vol.34, pp.1562-1579, 2011.
67. M. Hajarian, "Two algorithms for the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations" , APPLIED MATHEMATICS LETTERS, Vol.24, pp.444-449, 2011.
68. M. Hajarian, "An efficient algorithm for solving general coupled matrix equations and its application" , MATHEMATICAL AND COMPUTER MODELLING, Vol.51, pp.1118-1134, 2010.
69. M. Hajarian, "An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices" , APPLIED MATHEMATICAL MODELLING, Vol.34, pp.639-654, 2010.
70. M. Hajarian, "Asynchronous multisplitting GAOR method and asynchronous multisplitting SSOR method for systems of weakly nonlinear equations" , MEDITERRANEAN JOURNAL OF MATHEMATICS, Vol.7, pp.209-223, 2010.
71. M. Hajarian, "Computing matrix functions using mixed interpolation methods" , MATHEMATICAL AND COMPUTER MODELLING, Vol.52, pp.826-836, 2010.
72. M. Hajarian, "New iterative method for solving non-linear equations with fourth-order convergence" , INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, Vol.87, pp.834-839, 2010.
73. M. Hajarian, "On the reflexive and anti-reflexive solutions of the generalized coupled Sylvester matrix equations" , INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, Vol.41, pp.607-625, 2010.
74. M. Hajarian, "Some derivative free quadratic and cubic convergence iterative formulas" , COMPUTATIONAL APPLIED MATHEMATICS, Vol.29, pp.19-30, 2010.
75. M. Hajarian, "The general coupled matrix equations over generalized bisymmetric matrices" , LINEAR ALGEBRA AND ITS APPLICATIONS, Vol.432, pp.1531-1552, 2010.
76. M. Hajarian, "The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations" , ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, Vol.40, pp.825-848, 2010.
77. M. Hajarian, "A lower bound for the product of eigenvalues of solutions to matrix equations" , APPLIED MATHEMATICS LETTERS, Vol.22, pp.1786-1788, 2009.
78. M. Hajarian, "Convergence of SSOR methods for linear complementarity problems" , OPERATIONS RESEARCH LETTERS, Vol.37, pp.219-223, 2009.
79. M. Hajarian, "Determination of a matrix function using the divided difference method of Newton and the interpolation technique of Hermite" , JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol.231, pp.67-81, 2009.
80. M. Hajarian, "Efficient iterative method for solving the second-order Sylvester matrix equation EVF 2-AVF-CV BW" , IET CONTROL THEORY AND APPLICATIONS, Vol.2, pp.1401-1408, 2009.
81. M. Hajarian, "Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation A_1X_1B_1 A_2X_2B_2 C" , MATHEMATICAL AND COMPUTER MODELLING, Vol.49, pp.1937-1959, 2009.
82. M. Hajarian, "On the reflexive solutions of the matrix equation AXB CYD E" , BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, Vol.46, pp.511-519, 2009.
83. M. Hajarian, "An iterative algorithm for solving a pair of matrix equations AYB E CYD F over generalized centro-symmetric matrices" , COMPUTERS MATHEMATICS WITH APPLICATIONS, Vol.56, pp.3246-3260, 2008.
84. M. Hajarian, "An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation" , APPLIED MATHEMATICS AND COMPUTATION, Vol.202, pp.571-588, 2008.


Conference Articles
1. M. Hajarian, "An efficient iterative algorithm for constrained linear matrix equation" , In ICMME 2012, 2012.


Shahid Beheshti University

Shahid Beheshti University