Journal papers:
1. F. P. A. Beik, D. Khojasteh Salkuyeh, A cyclic iterative approach and its modified version to solve coupled
Sylvestertranspose matrix equations,Linear and Multilinear Algebra, Accepted for publication, December 14, 2016..
2. V. Edalatpour, D. Hezari and D. Khojasteh Salkuyeh, A generalization of the GaussSeidel iteration method
for solving absolute value equations, Appl. Math. Comput., Accepted for publication, August 16, 2016.
3. D. Khojasteh Salkuyeh and M. Masoudi, A new relaxed HSS preconditioner for saddle point problems,
Numerical Algorithms, Accepted for publication, June 22, 2016. Published online.
4. D. Khojasteh Salkuyeh, M. Bastani, A new generalization of the HSS method for solving the continuous Sylvester equation,
Transactions of the Institute of Measurement and Control, Accepted for publication, May 26, 2016.
5. D. Khojasteh Salkuyeh, F. Panjeh Ali Beik, D. Hezari, A sequential twostage method for solving generalized saddle
point problems, UPB Scientific Bulletin: Series A Applied Mathematics and Physics, Accepted for publication,
April 3, 2016.
6. D. Hezari, D. Khojasteh Salkuyeh, V. Edalatpour, A new iterative method for solving a class of complex symmetric system
of linear equations, Numerical Algorithms, Accepted for publication, March 4, 2016.
7. D. Khojasteh Salkuyeh, Stepsize Control for Cubic Spline Interpolation,International Journal of Applied and
Computational Mathematics, Accepted for publication, December 14, 2014.
8. D. Khojasteh Salkuyeh, A. Tavakoli, Interpolated variational iteration method for initial value problems,
Applied Mathematical Modeling, 40 (2016) 39793990.
9. Fatemeh Panjeh Ali Beik and Davod Khojasteh Salkuyeh, An iterative algorithm for the best approximate
$(P,Q)$orthogonal symmetric and skewsymmetric solution pair of coupled matrix equations,
Transactions of the Institute of Measurement and Control, Accepted for publication, September 14, 2015.
10. Davod Khojasteh Salkuyeh, Mohsen Hasani and Fatemeh Panjeh Ali Beik, On the Preconditioned AOR Iterative Method
for ZMatrices, Computational and Applied Mathematics, DOI: 10.1007/s4031401502668,
Accepted for publication, July 26, 2015, Published online.
11. V. Edalatpour, D. Hezari and D. Khojasteh Salkuyeh, Two efficient inexact algorithms for a class of large
sparse complex linear systems, Mediterranean Journal of Mathematics, DOI: 10.1007/s0000901506214,
Accepted for publication, July 20, 2015, Published online.
12. D. Hezari, V. Edalatpour and D. Khojasteh Salkuyeh, Preconditioned GSOR iterative method for a class of
complex symmetric system of linear equations, Numerical Linear Algebra with Applications, 2015 (22) 761776.
13. D.K. Salkuyeh, M. Masoudi, D. Hezari, On the generalized shiftsplitting preconditioner for saddle point problems,
Applied Mathematics Letters, 48 (2015) 5561.
14. F.P.A. Beik and D.K. Salkuyeh, An iterative algorithm for the least squares solutions of matrix equations over symmetric
arrowhead matrices, Journal of Korean Mathematical Society, 52 (2015) 349—372.
15. N. Aghazadeh, D.K. Salkuyeh, M. Bastani, Twoparameter generalized Hermitian and skewHermitian splitting iteration method,
Interational Journal of Computer Mathematics, 93 (2016) 1119–1139.
16. N. Aghazadeh, M. Bastani, D. K. Salkuyeh, The generalized Hermitian and skewHermitian splitting iterative method
for image restoration, Applied Mathematical Modelling, 39 (2015) 61266138.
17. A. Golbabai, S.P.A Beik, D. K. Salkuyeh, A new approach for solving the firstorder linear matrix differential equations,
Bulletin of Iranian Mathematical Society (BIMS), 42 (2016) 297314.
18. V. Edalatpour, D. Hezari and D. K. Salkuyeh, Accelerated generalized SOR method for a class of complex systems of linear
equations, Mathematical Communications, 20 (2015) 3752.
19. D.K. Salkuyeh, On the solution of a class of fuzzy system of linear equations, Sadhana, 40 (2015) 369377.
20. F. P.A. Beik and D.K. Salkuyeh, Weighted versions of GlFOM and GlGMRES for solving general coupled linear matrix
equations, Computational Mathematics and Mathematical Physics, 55 (2015) 16061618.
21. D. K. Salkuyeh and Z. Hassanzadeh, A Newton twostage waveform relaxation method for solving systems of nonlinear algebraic
equations, Mathematical Communications, 20 (2015) 115.
22. D. K. Salkuyeh, F. P. A. Beik, Minimum norm leastsquares solution to general complex coupled linear matrix equations via
iteration, FILOMAT, 29 (2015) 13891407.
23. F. Toutounian, D. K. Salkuyeh, M. Mojarrab, LSMR iterative method for general coupled matrix equations,
Journal of Applied Mathematics, 8, 2014.
24. F.P.A. Beik, D.K. Salkuyeh, A finite iterative algorithm for Hermitian reflexive and skewHermitian solution groups of the
general coupled linear matrix equations, Journal of Applied Mathematics and Computing, 48 (2015) 129155.
25. D. K. Salkuyeh, A. Rafiei, H. Roohani, ILU Preconditioning Based on the FAPINV Algorithm, Opuscula Mathematica, 35 (2014) 235–250.
26. D. K. Salkuyeh, V. Edalatpour, D. Hezari, Polynomial preconditioning for the GeneRank problem, Electronic Transactions
on Numerical Analysis (ETNA), 41 (2014) 179189.
27. D. K. Salkuyeh, D. Hezari, V. Edalatpour, Generalized SOR iterative method for a class of complex symmetric linear
system of equations, International Journal of Computer Mathematics, 92 (2015) 802815.
28. D. K. Salkuyeh, The PicardHSS iteration method for absolute value equations, Optimization Letters, 8 (2014) 2191–2202. ISI)
29. Z. Hassanzadeh and D.K Salkuyeh, Twostage waveform relaxation method for the initial value problems with nonconstant
coefficients, Computational & Applied Mathematics, 33 (2014) 641–654.
30. M. Hassani, D. K. Salkuyeh, On a class of multilevel preconditioners for Zmatrices, Afrika Matematika, 26 (2015) 201213.
31. D. K. Salkuyeh, F.P. A. Beik, On the gradient based algorithm for solving the general coupled matrix equations, Transactions
of the Institute of Measurement and Control, 36 (3) (2014) 375–381.
32. S. Erfani, A. Tavakoli, D.K. Salkuyeh, An efficient method to set up a Lanczos based preconditioner for discrete illposed
problems, Applied Mathematical Modelling, 37 (2013) 8742–8756.
33. M. Hasani, D.k. Salkuyeh, Improvements of Two Preconditioned AOR Iterative Methods for ZMatrices, Bulletin of the Iranian
Mathematical Society (BIMS) , 40 (2014) 357371.
34. F.P.A. Beik, D.K. Salkuyeh, M. Mohseni Moghadam, Gradient based iterative algorithm for solving the generalized coupled
Sylvestertranspose and conjugate matrix equations over reflexive (antireflexive) matrices, Transactions of the Institute of
Measurement and Control, 36 (2014) 99110.
35. D.K. Salkuyeh, F.P.A. Beik, An iterative method to solve symmetric positive definite matrix equations,
Mathematical Reports 16 (2014) 271283.
36. F. Panjeh Ali Beik and D.K. Salkuyeh, The coupled Sylvestertranspose matrix equations over generalized
centrosymmetric matrices, International Journal of Computer Mathematics, 90 (2013) 15461566 .
37. D. K. Salkuyeh, S. Shamsi, A. Sadeghi, An improved symmetric SOR iterative method for augmented systems,
Tamkang J. Mathematics, 43 (2012) 479490.
38. D.K. Salkuyeh, M. Bastani, Solution of the Complex Modified Kortewegde Vries Equation by the Projected Differential
Transform Method, Applied Mathematics and Computation, 219 (2013) 51055112 .
39. D.k. Salkuyeh, An Iterative Method for Symmetric Positive Semidefinite Linear System of Equations, Demonstratio
Mathematica, 47 (2014) 482492.
40. F. Panjeh Ali Beik and D.K. Salkuyeh, On the global Krylov subspace methods for solving general coupled matrix equations,
Computers and Mathematics with Applications, 62 (2011) 46054613.
41. M. Bastani and D. K. Salkuyeh, A highly accurate method to solve Fisher"s equation, PramanaJournal of Physics, 78 (2011)
335346.
42. D. K. Salkuyeh and S. Shamsi, A Preconditioner for the SORlike Method for the Augmented Systems, Chiang Mai Journal of
Science, 39 (2012) 191199.
43. M. Bastani and D.K. Salkuyeh, Numerical studies of a nonlocal parabolic partial differential equations by spectral collocation
method with preconditioning, Computational Mathematics and Modeling, 24 (2013) 8189.
44. D. K. Salkuyeh, A short note on the paper ``Convergence of the TAGE iterative method for the system arisen from the cubic
spline approximation for the solution of twopoint BVPs with forcing function in integral form", by Mohanty, Jain and Dhall, Applied
Mathematical Modelling, 36 (2012) 168172.
45. D. K. Salkuyeh and Y. Abdolalizadeh, On the Preconditioning of the AOR Iterative Methods for Mmatrices, International
Journal of Applied Mathematics and Computation, 3 (2011) 8794.
46. D. K. Salkuyeh and M. Bastani, Convergence of the variational iteration method for the cubic nonlinear Schrodinger equation,
Journal of Advanced Research in Scientific Computing, 3(2) 2011, 3141.
47. D. K. Salkuyeh and S. Behnejad, Letter to the Editor regarding ``Modified Hermitian and skewHermitian splitting
methods for nonHermitian positivedefinite linear systems"" [Numer. Linear Algebra Appl. 14 (2007) 217235]", Numerical
Linear Algebra with Applications, 19 (2012) 885890.
48. D. K. Salkuyeh, On the solution of the fuzzy Sylvester equation, Soft Computing, 15 (2010) 953961.
49. D. K. Salkuyeh, H. Roohani, Convergence of the Variational Iteration Method for the Telegraph Equation with Integral
Conditions, Numerical Methods for Partial Differential Equations, 27 (2011) 14421455.
50. D. K. Salkuyeh, A. Fahim, A New Iterative Refinement of the Solution of IllConditioned Linear System of Equations,
International Journal of Computer Mathematics, 88 (5) (2011) 950 – 956.
51. D. K. Salkuyeh and H. Roohani, On the relation between the AINV and the FAPINV algorithms, International Journal of
Mathematics and Mathematical Sciences, Volume 2009, Article ID 179481, 6 pages Hindawi Publishing Corporation).
52. D. K. Salkuyeh, A Sparse Approximate Inverse Preconditioner for Nonsymmetric Positive Definite Matrices, Journal of
Applied Mathematics and Informatics, 28 (2010) 11311141.
53. D. K. Salkuyeh, On the semidiscretization of the Sivashinsky equation, International Journal of Applied Mathematics and
Computation, 2 (2009) 94100.
54. H. Roohani and D. K. Salkuyeh, New General Solutions for the General Elliptic and Auxiliary Equations and Application to the
Coupled KdV Equation, International Journal of Computer Mathematics, 87 (12) (2010) 27602768.
55. D. K. Salkuyeh and F. Toutounian, Optimal Iterate of the Power and Inverse Iteration Methods, Applied Numerical
Mathematics, 59 (2009) 15371548.
56. D. K. Salkuyeh and F. Toutounian, A SparseSparse Iteration for Computing a Sparse Incomplete Factorization of the Inverse
of an SPD Matrix, Applied Numerical Mathematics, 59 (2009) 12651273.
57. D. K. Salkuyeh, A preconditioner for the normal equations, Journal of Applied Mathematics and Informatics, 28 (2010) 687
696.
58. D. K. Salkuyeh and M. Hasani, A note on the pinpointing solution of illconditioned linear system of equations, International
Journal of Computer Mathematics, 87 (2010) 1395 – 1400.
59. D. K. Salkuyeh and F. Saadati Sharafeh, On the Numerical Solution of the Burgers’s Equation, International Journal of
Computer Mathematics, 86(2009) 13341344.
60. D. K. Salkuyeh, The relation between the FSAI and the AIB algorithms, IUST International Journal of engineering Science,
19 (2008) 4548. (ISC)
61. D. K. Salkuyeh, On the Preconditioning of the Block Tridiagonal Linear System of Equations, Journal of Applied
Mathematics and Computing, 28 (2008) 133146.
62. D. K. Salkuyeh, F. Toutounian and H. Shariat Yazdi, A procedure with stepsize control control for solving n onedimensional
IVPs, Mathematics and Computers in Simulation, 79 (2008) 167176 .
63. D. K. Salkuyeh, Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients,
Computers and Mathematics with Applications, 56 (2008) 20272033.
64. D. K. Salkuyeh, A family of Newtontype methods for solving nonlinear equations, International Journal of Computer
Mathematics, 84 (2007) 411419.
65. D. K. Salkuyeh, Generalized Jacobi and the GaussSeidel Methods for Solving Linear System of Equations, Numerical
Mathematics: A journal of Chinese universities English Series, 16 (2007) 164170.
66. S. Karimi, D. K. Salkuyeh and F. Toutounian, A preconditioner for the LSQR algorithm, Journal of Applied Mathematics and
Informatics, 26 (2008) 213  222.
67. D. K. Salkuyeh, S. Karimi and F. Toutounian, A parallel algorithm to approximate inverse factors of a matrix via sparsesparse
iterations, Appl. Math. Comput., 81 (2006) 78279.
68. K. Salkuyeh, Positive integer powers of the tridiagonal Toeplitz matrices, International Mathematical Forum, 22 (2006) 1061
1065.
69. D. K. Salkuyeh, On the finite difference approximation to the convectiondiffusion equation, Appl. Math. Comput., 179 (2006)
7986.
70. D. K. Salkuyeh and F. Toutounian, Numerical accuracy of a certain class of iterative methods for solving linear systems, Appl.
Math. Comput., 176(2006) 727738.
71. D. K. Salkuyeh, On the solution of a class of elliptic problems, International Mathematical Forum, 10 (2006)485494
72. D. K. Salkuyeh, Comments on ”A threeterm recurrence for tridiagonal sytems”, Appl. Math. Comput., 176 (2006) 442444.
73. D. K. Salkuyeh, A new approach to compute sparse approximate inverse factors, Appl. Math. Comput., 174(2006)11101121.
74. D. K. Salkuyeh and F. Toutounian, New approaches for solving large sylvester equations,Appl. Math. Comput., 173 (2006) 918.
(Correction )
75. D. K. Salkuyeh, CGtype algorithms to solve symmetric matrix equations, Appl. Math. Comput., 172(2006) 985999.
76. D. K. Salkuyeh and F. Toutounian, A comparison between GMRES and the global GMRES Methods for solving Matrix
Equations, Jour. of Inst. of Math. and Comp. Sci. (Math. Ser), 17 (2004) 191195.
77. F. Toutounian, D. K. Salkuyeh and B. Asadi, Numerical implementation of the QMR algorithm by using discrete stochastic
arithmetic,Journal of Applied Mathematics and Computing, 17 (2005) 457473.
78. D. K. Salkuyeh and F. Toutounian, A new approach to compute sparse approximate inverse of an SPD, IUST International
Journal of Engineering Science, 15 (2004) 9795.
79. D. K. Salkuyeh and F. Toutounian, A block version algorithm to approximate inverse factors, Applied Mathematics and
Computation 162 (2005) 14991509.
80. D.K. Salkuyeh and F. Toutounian, BILUS: A Block Version of ILUS Factorization, Journal of Applied Mathematics and
Computing, 15 (2004) 299312.
81. A. Kerayechian and D. K. Salkuyeh, On the existence, uniqueness and approximation of a class of elliptic problems,
International Journal of Applied Mathematics, 11 (2002) 4960.
82. D. K. Salkuyeh, A new implementation of the AIB algorithm for computing the inverse factors of a matrix, Journal of Science
and Technology (University of Mohaghegh Ardabili), 3(2006) 3343.
Submitted papers:
1. D. K. Salkuyeh, M. Rahimian, A modification of the generalized shiftsplitting method for singular saddle point problems,
October 19, 2016.
Conference papers:
1. D. Khojasteh Salkuyeh, On the parallel version of the BAIB algorithm, 37th Annual Iranian Mathematics Conference,Azarbaijan
University of Tarbiat Moallem,Tabriz, Iran.
2. D. Khojasteh Salkuyeh, A generalization of the SOR method for solving linear system of equations, The 1st national
conference of mathematics and its applications, Islamic Azad university of Lahijan, 56 March 2008.
3. K. Shayesteh, A. Heydari, D. K. Salkuyeh, M. Abdorrahmani and N. Barahmati, Modeling of threeway catalytic converters: Study
of heat transfer and chemical reactions, The 11th National Iranian Chemical Engineering Congress, 2007.
4. D. K. Salkuyeh, T. Salimi, A Preconditioner for the Normal Equations, 5 th seminar on Linear Algebra and its applications,
Babolsar, Mazandaran, 2009.
5. H. Roohani and D. Khojasteh Salkuyeh, On the preonditioning based upon the FFAPINV algorithm, The 23rd International
Conference of the Jangjeon Mathematical Society, February 810, 2010, AhvazIran.
6. D. K. Salkuyeh, S. Shamsi, Generalized SOR method for Solving System of Linear Equations,
41st Annual Iranian Conference of Mathematics, September 1215, 2010, Urmia University, UrmiaIran.
7. D. K. Salkuyeh and A. Azarnejad Hassankiadeh, Convergence of the Generalized AOR Method for $alpha$Strictly Diagonally
Dominant Matrices, 1st Regional Seminar Mathematics Students, Azarbaijan University of Tarbiat Moallem, July 1819, 2011.
8. D. K. Salkuyeh and A. Ramzani, Convergence of the BLAGE iterative method for the solution of perturbed 2D Poisson"s
equation, 1st Regional Seminar Mathematics Students, Azarbaijan University of Tarbiat Moallem, July 1819, 2011.
9. D. Khojasteh Salkuyeh, A Review of the Preconditioning Techniques Based on the FAPINV Algorithm, The 42nd Annual Iranian
Mathematics Conference, 58 September 2011,ValieAsr University of Rafsanjan, Iran (Invited speaker).
10. D. Khojasteh Salkuyeh and N. Babazadeh, Some results on the preconditioned AOR iterative methods, The 42nd Annual
Iranian Mathematics Conference, 58 September 2011,ValieAsr University of Rafsanjan, Iran.
11. D. Khojasteh Salkuyeh, A Generalization of the 2DDSPM for Solving Linear System of Equations, The fourth national
mathematics conference, Payameh Noor, September 25 and 26, Ardabil.
12. D. Khojasteh Salkuyeh and Y. Darabi, Hybrid methods to solve matrix equations, The fourth national mathematics
conference, Payameh Noor, September 25 and 26, Ardabil.
13. D. Khojasteh Salkuyeh, Z. Hassanzadeh, Twostage waveform relaxation method for the initial value problems, 9th Seminar
on Differential Equations and Dynamical Systems, July 1113, 2012 (Shahid Madani University of Azarbayejan).
14. F. Panjeh Ali Beik, D. K. Salkuyeh, A projection technique for reflexive (antireflexive) solution of the coupled linear matrix
equations, The 4th Conference on Numerical Analysis and its Applications Faculty of Khansar, Khansar, Iran, May 78,
2013 (1819 Ordibehesht, 1392).
15. D. Khojasteh Salkuyeh, A preconditioner for symmetric Mmatrices, The 44nd Annual
Iranian Mathematics Conference, Ferdowsi University of Mashhad, 2730 August 2013 ( 58 Sharivar 1392)..
16. D. Khojasteh Salkuyeh, F. Panjeh Ali Beik, On the convergence of the gradient based iterative method, The 44nd Annual
Iranian Mathematics Conference, Ferdowsi University of Mashhad, 2730 August 2013 ( 58 Sharivar 1392).
17. D. Khojasteh Salkuyeh, D. Hezari, V. Edalatpour, An iterative method for a class of complex symmetric linear system of
equations, 5th Iranian conference on applied mathematics, BualiSina University, Hamadan, September 24, 2013 (1113 Shahrivar 1392).
18. D. Khojasteh Salkuyeh, D. Masoudi, D. Hezari, A preconditioner based on the shiftsplitting method for generalized saddle point
problems, The 46th Annual Iranian Mathematics Conference, Yazuniversity, Yazd, 2528 August 2015 ( 13 Sharivar 1394).
19. D. Khojasteh Salkuyeh, M. Rahimian and T. Salimi, On the generalized shiftsplitting method for singular saddle
point problems, The 6th Seminar on Numerical Analysis and its Applications, University of Maragheh, 2021 July 2016.
Research Projects:
At University of Mohaghegh Ardabili (UMA):
1) A new approach to compute sparse approximate inverse of a matrix.
2) On the finite difference approximation to the ConvectionDiffusion equation.
3) Generalization of some stationary iterative methods for solving large sparse linear system of equations.
4) On the BAIB algorithm for computing the sparse approximate inverse factors of a matrix.
5) Approximate solution of the Sivashinsky equation by using its semidiscretization.
6) On the preconditioning of the block tridiagonal linear system of equations.
7) Optimal iterate of the power and inverse iteration methods.
8) ILU preconditioning based on the FAPINV algorithm.
9) Stepsize control for interpolating cubic spline functions.
10) On the solution of the fuzzy Sylvester equation.
11) A generalization of the AOR iterative method.
At University of Guilan:
1) On the convergence of the Richardson method for matrix equations.
Published Books:
1) Numerical Methods in Linear Algebra (in persian), 350 pages, Publisher: Amoozeshhayeh Bounyadi
Errata to Book
To buy the book please click HERE!
2) Iterative Methods for Linear System of Equations (In Persian), 213 Pages, Publisher: MowjChaharom.
To buy the book please click HERE or contact to MazdakBook: 01333362211
3) Numerical Linear Algebra (in Persian), 245 pages, Publisher: Guilan Academic Center for Education.
To buy the book contact to MazdakBook: 01333362211
Supervised Thesis (M.Sc):
At University of Mohaghegh Ardabili (UMA):
At University of Guilan:
1) Sara Shahnazari Karbasaraei, The Drazin inverse and its applications, Defense date: January 17, 2015.
2) Reza Rokhfrooz, The HSS method for nonlinear equations, Defense date: Januar 27, 2015.
3) Maryam Abdolmaleki, On preconditioned iteration methods for complex linear systems, Defense date: September 12, 2015.
At present, Maryam Abdolmaleki is a PhD student at Persian Gulf University under supervision of Dr. Saeid Karimi.
4. Sayyedeh Elaheh Ghoreishi Amri, Preconditioned generalized AOR methods for generalized leastsquares problem,
Defense date: September 22, 2015.
5. Ghazaleh Hajiahmadi Foumani, On iterative methods for solving linear complementarity problem, Defense date: December 2015.
6. Meisam Jancook, An algorithm for solving shifted skewSymmetric linear system, Defense date: December 2015.
7. Saman Lotfi, Hermitian and skewHermitian splitting method for solving Sylvester equation, Defense date: March 2016.
My PhD students:
1. Mehdi Bastani, Images restoration by solving linear system of equations based on the HSS iterative method,
Azarbaijan Shahid Madani University, Dr. Naser Aghazadeh (Supervisor), D. Khojasteh Salkuyeh (Advisor),
2. Davod Hezari, SOR iterative method and its acceleration for solving complex symmetric system of linear equations, Defense date: January 2016.
3. Vahid Edalatpour, On the preconditioning of complex system of linear equations, Defense date June 2016.
4. Mohsen Masoudi, 2013, Some results on the preconditiong of the saddle point problems, Ongoing.
5. Maryam Rahimian, 2015, Ongoing.
6. Tahereh Salimi, 2015, Ongoing.
