Journal papers:
1. 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, Accepted for publication, Jun 11, 2014.
2. D. K. Salkuyeh, A. Rafiei, H. Roohani, ILU Preconditioning Based on the FAPINV Algorithm, Opuscula Mathematica, Accepted
for publication, Jun 7, 2014.
3. D. K. Salkuyeh, V. Edalatpour, D. Hezari, Polynomial preconditioning for the GeneRank problem, Electronic Transactions
on Numerical Analysis (ETNA), 41 (2014) 179189. (ISI)
4. 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, Accpeted for publication, April 1, 2014, Published online (ISI).
5. D. K. Salkuyeh, The PicardHSS iteration method for absolute value equations, Optimization Letters, Accepted for publication,
January 24, 2014, Published online (ISI).
6. Z. Hassanzadeh and D.K Salkuyeh, Twostage waveform relaxation method for the initial value problems with nonconstant
coefficients, Computational & Applied Mathematics, Accepted for publication, September 26, 2013, Published online (ISI).
7. M. Hassani, D. K. Salkuyeh, On a class of multilevel preconditioners for Zmatrices, Afrika Matematika, Accepted for
publication (September 2, 2013), Publishe online.
8. 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. (ISI)
9. 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. (ISI)
10. M. Hasani, D.k. Salkuyeh, Improvements of Two Preconditioned AOR Iterative Methods for ZMatrices, Bulletin of the Iranian
Mathematical Society (BIMS) , 40 (2014) 357371.
11. 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. (ISI)
12. D.K. Salkuyeh, F.P.A. Beik, An iterative method to solve symmetric positive definite matrix equations,
Mathematical Reports 16 (2014) 271283. (ISI)
13. 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 (ISI).
14. D. K. Salkuyeh, S. Shamsi, A. Sadeghi, An improved symmetric SOR iterative method for augmented systems,
Tamkang J. Mathematics, 43 (2012) 479490.
15. 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 (ISI).
16. D.k. Salkuyeh, An Iterative Method for Symmetric Positive Semidefinite Linear System of Equations, Demonstratio
Mathematica, 47 (2014) 482492.
17. 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 (ISI).
18. M. Bastani and D. K. Salkuyeh, A highly accurate method to solve Fisher"s equation, PramanaJournal of Physics, 78 (2011)
335346 (ISI).
19. D. K. Salkuyeh and S. Shamsi, A Preconditioner for the SORlike Method for the Augmented Systems, Chiang Mai Journal of
Science, 39 (2012) 191199 (ISI).
20. 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.
21. 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 (ISI).
22. 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.
23. 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.
24. 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 (ISI).
25. D. K. Salkuyeh and S. H. Azizi, GaussSeidel iterative methods for rank deficient least squares problems, World Academy of
Science, Engineering and Technology, 5 (2011) 0721.
26. D. K. Salkuyeh, On the solution of the fuzzy Sylvester equation, Soft Computing, 15 (2010) 953961 (ISI).
27. 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 (ISI).
28. 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 (ISI).
29. D. K. Salkuyeh, Stepsize control of the finite difference method for solving ordinary differential equations, International
Journal of Applied Mathematics and Computer Sciences, 5 (2009) 23438.
30. 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).
31. D. K. Salkuyeh, A Sparse Approximate Inverse Preconditioner for Nonsymmetric Positive Definite Matrices, Journal of
Applied Mathematics and Informatics, 28 (2010) 11311141.
32. D. K. Salkuyeh, On the semidiscretization of the Sivashinsky equation, International Journal of Applied Mathematics and
Computation, 2 (2009) 94100.
33. 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 (ISI).
34. D. K. Salkuyeh and F. Toutounian, Optimal Iterate of the Power and Inverse Iteration Methods, Applied Numerical
Mathematics, 59 (2009) 15371548 (ISI).
35. 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 (ISI).
36. D. K. Salkuyeh, A preconditioner for the normal equations, Journal of Applied Mathematics and Informatics, 28 (2010) 687
696.
37. 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 (ISI).
38. D. K. Salkuyeh and F. Saadati Sharafeh, On the Numerical Solution of the Burgers’s Equation, International Journal of
Computer Mathematics, 86(2009) 13341344 (ISI).
39. D. K. Salkuyeh, The relation between the FSAI and the AIB algorithms, IUST International Journal of engineering Science,
19 (2008) 4548 (ISC).
40. D. K. Salkuyeh, On the Preconditioning of the Block Tridiagonal Linear System of Equations, Journal of Applied
Mathematics and Computing, 28 (2008) 133146.
41. 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 (ISI).
42. 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 (ISI).
43. D. K. Salkuyeh, A family of Newtontype methods for solving nonlinear equations, International Journal of Computer
Mathematics, 84 (2007) 411419 (ISI).
44. 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 (ISI).
45. S. Karimi, D. K. Salkuyeh and F. Toutounian, A preconditioner for the LSQR algorithm, Journal of Applied Mathematics and
Informatics, 26 (2008) 213  222.
46. 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 (ISI).
47. K. Salkuyeh, Positive integer powers of the tridiagonal Toeplitz matrices, International Mathematical Forum, 22 (2006) 1061
1065.
48. D. K. Salkuyeh, On the finite difference approximation to the convectiondiffusion equation, Appl. Math. Comput., 179 (2006)
7986 (ISI).
49. 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 (ISI).
50. D. K. Salkuyeh, On the solution of a class of elliptic problems, International Mathematical Forum, 10 (2006)485494
51. D. K. Salkuyeh, Comments on ”A threeterm recurrence for tridiagonal sytems”, Appl. Math. Comput., 176 (2006) 442444
(ISI).
52. D. K. Salkuyeh, A new approach to compute sparse approximate inverse factors, Appl. Math. Comput., 174(2006)11101121
(ISI).
53. D. K. Salkuyeh and F. Toutounian, New approaches for solving large sylvester equations,Appl. Math. Comput., 173 (2006) 9
18 (ISI).
(Correction )
54. D. K. Salkuyeh, CGtype algorithms to solve symmetric matrix equations, Appl. Math. Comput., 172(2006) 985999 (ISI).
55. 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.
56. 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.
57. 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) 8795 (ISC).
58. D. K. Salkuyeh and F. Toutounian, A block version algorithm to approximate inverse factors, Applied Mathematics and
Computation 162 (2005) 14991509 (ISI).
59. D.K. Salkuyeh and F. Toutounian, BILUS: A Block Version of ILUS Factorization, Journal of Applied Mathematics and
Computing, 15 (2004) 299312.
60. 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.
61. 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.
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).
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 (Visit http://amath.ir to
see first 16 pages of the book).
Book chapters:
1. Introduction
2. Inner product and norm
3. Linear system of equations
4. Eigenvalue problems
5. Singular value decomposition and its applications
6. Matrix functions and their applications
7. Iterative methods for solving linear system of equations
8. Nonnegative matrices
Errata to Book
Supervised Thesis (M.Sc):
At University of Mohaghegh Ardabili (UMA):
1. Fazel Saadati Sharafeh, Weighted FOM and GMRES for solving nonsymmetric linear systems, Advisor: H. Saberi Nadjafi
(Guilan university), defence date: 14 December 2007.
2. Mohammad Reza Arian, Investigation of the global FOM and GMRES for solving matrix equations, defence date: 29 August
2007.
3) Mohsen Hasani, Preconditioned accelerated overelaxation iterative method for solving linear systems of equations, defence
date: 25 June 2008.
4) Mehdi Bakhshizadeh, The incomplete orthogonalization method for solving large linear system of equations, Advisor: Dr.
Faezeh Toutounian (Ferdowsi University of Mashhad), defence date: 24 July 2008.
5) Sholeh Yaghobi Kaloorazi, Generalization of an iterative method for solving SPD linear system of equations, Second
supervisor: Dr. Mohammad Zarebnia (University of Mohaghegh Ardabili). defence data: 9 November 2008.
6) Roya Tabatabaei Ebrahimi, A fast implementation for the GMRES method, Second supervisor: Dr. Mir Kamal Mirnia (Tabriz
University), defence date: 7 November 2008.
7) Mohammad Nasiri, Hermitian and skewHermitian splitting methods for solving nonHermitian positive definite linear system
of equations, defence date: 18 January 2009.
8) Hadi Rohani, A method for preconditioning of the linear system of equations by using the inverse factors of a matrix, defence
date: 18 January 2009.
Hadi Rohani currently is a Ph.D student at Imam Khomeini International University (Qazvin).
9) Amir Sadeghi Marasht, Numerical solution of integral equations by means of the Sinc collocation method based on the
double exponential transformation, Supervisor: Dr. Mohammad Zarebnia, Advisor: D. Khojasteh Salkuyeh, defence date: 17
October 2008.
10) Tahereh Salimi, A new preconditioner for the normal equations, defence date: December 31, 2009.
11) Atefeh Fahim, Semiconvergence of extrapolated iterative methods for solving singular linear system of equations, Defence
date: December 2, 2009.
12) Sommayeh Shamsi, Modified symmetric successive overrelaxation method for solving saddlepoint problems, Defence
date: December 17, 2009.
13) Shiva Behnejad, Modified Hermitian and skewHermitian splitting methods for nonHermitian positive definite linear system
of equations, defence date: October 12, 2010.
14) Sayyed Hasan Azizi Chaparpardi, Accelerated overrelaxation iterative method for rank deficient least squares problems,
defence date: November 23, 2010.
15) Yousef Abdolalizadeh, Preconditioned accelerated overelaxation iterative methods for Mmatrices, defence date: November
23, 2010.
16) Akbar Ramazani, A parallel iterative algorithm for solving 2D Poisson equation, defence date: July 30, 2011.
17) Mehdi Bastani, Compact finite difference method for solving differential and integrodifferential equations, defence date: July
30, 2011.
Mehdi Bastani currently is a Ph.D student at Azarbaijan University of Tarbiat Moallem (Tabriz).
18) Fatemeh Heydari Kharaji, NonArchimedean L_fuzzy normed spaces and stability of functional equations ( Advisor: Dr. N.
Egbali, CoAdvisor: D.K. Salkuyeh), defence date: September 15, 2011.
19) Yunus Darabi, An iterative method for solving linear matrix equations, defence date: September 27, 2011.
20) Tahereh Houshangi Shafti, Double splitting methods for solving system of linear equations, defence date: October 19, 2011.
21) Ameneh Azarnejad Hassankiadeh, Convergence of generalized AOR itertive method for linear systems of equations with
strictly diagonally dominant matrices, defence date: October 19, 2011.
22) Sayyedeh Khadijeh Mousavi Mohammadi, Iterative methods to compute special solutions to the system of generalized
Sylvester equations, defence date: July 18, 2012.
23) Zeynab Hassanzadeh, Twostage waveform relaxation methods for initial value problems, defence date: July 18, 2012.
22) Hadi Feyzollahzadeh, Preconditioned MHSS iteration methods for complex symmetric linear system of equations, defence
date: September 18, 2012.
24) Salimeh Naseri Nanehkaran, Numerical algorithms for computing the MoorePenrose inverse of a matrix, defence date:
September 18, 2012
At University of Guilan:
1) Sara Shahnazari Karbasaraei, The Drazin inverse and its applications, in progress.
2) Reza Rokhfrooz, The HSS method for nonlinear equations.
My PhD students:
1. Davod Hezari, 2012, Onging.
2. Vahid Edalatpour, 2012, Ongoing.
3. Mohsen Masoudi, 2013, Ongoing.
