Journal papers:
T. Salimi Siahkolaei, D.K. Salkuyeh, On TTSCSPbased iteration methods for complex weakly nonlinear systems, East Asian Journal on Applied Mathematics, Accepted for publication, April 8, 2019.
► H. Mirchi, D. K. Salkuyeh, A new preconditioner for elliptic PDEconstrained optimization problems, Numerical Algorithms, Accepted for publication, March 28, 2019.
► M. Jozi, S. Karimi, D. K. Salkuyeh, An Iterative Method to Compute Minimum norm Solutions of Illposed Problems in Hilbert Spaces, Afrika Matematika, Accepted for publication, March 27, 2019.
► O. Axelsson and D.K. Salkuyeh, A new version of a preconditioning method for certain twobytwo block matrices with square blocks, BIT Numerical Mathematics, Accepted, November 23, 2018.
►M. Keyanpour, D.K. Salkuyeh, H. Moosaei and S. Ketabchi, On the solution of the fully fuzzy Sylvester matrix equation, International Journal of Modelling and Simulation, Published online, November 24, 2018.
► T. Salimi Siahkolaei, D.K. Salkuyeh, A preconditioned SSOR iteration method for solving complex symmetric system of linear equations, Numerical Algebra, Control and Optimization, Accepted for publication, October 28, 2018.
► D.K. Salkuyeh and T. Salimi Siahkolaei, Twoparameter TSCSP method for solving complex symmetric system of linear equations, Calcolo 55 (2018) 8.
► S.H. Azizi Chaparpordi, F. Panjeh Ali Beik, D.K. Salkuyeh, Block triangular preconditioners for stabilized saddle point problems with nonsymmetric (1,1)block, Computers & Mathematics with Applications, 76 (2018) 15441553.
► D.K. Salkuyeh, M. Abdolmaleki, S. Karimi, On a splitting preconditioner for saddle point problems, Journal of Applied Mathematics & informatics 36 (2018) 459474.
► D.K. Salkuyeh and F. Panjeh Ali Beik, An explicit formula for the inverse of arrowhead and doubly arrow matrices, International Journal of Applied and Computational Mathematics, 4 (2018) 96.
► M. Pourbagher, D.K. Salkuyeh, On the solution of a class of complex symmetric linear systems, Applied Mathematics Letters, 76 (2018) 1420.
► D.K. Salkuyeh, M. Rahimian, A modification of the generalized shiftsplitting method for singular saddle point problems, Computers andMathematics with Applications, 74 (2017) 29402949.
► D. Hezari, V. Edalatpour, H. Feyzollahzadeh, D. K Salkuyeh, On the generalized deteriorated positive semidefinite and skewHermitian splitting preconditioner, J. Comput. Math. 37 (2019) 1832.
► M. Bastani, D.K. Salkuyeh, On the mstep twoparameter generalized Hermitian and skewHermitian splitting preconditioning method, Afrika Matematika, 28 (2017) 9991010.
► 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, 65 (2017) 24062423.
► V. Edalatpour, D. Hezari and D. Khojasteh Salkuyeh, A generalization of the GaussSeidel iteration method for solving absolute value equations, Appl. Math. Comput. 293 (2017) 156167.
► D. Khojasteh Salkuyeh and M. Masoudi, A new relaxed HSS preconditioner for saddle point problems, Numerical Algorithms, 74 (2017) 781–795.
► 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, 40 (2018) 303317.
► 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, 79 (2017) 131140 .
► D. Hezari, D. Khojasteh Salkuyeh, V. Edalatpour, A new iterative method for solving a class of complex symmetric system of linear equations, Numerical Algorithms, 73 (2016) 927–955.
► D. Khojasteh Salkuyeh, Stepsize Control for Cubic Spline Interpolation,International Journal of Applied and Computational Mathematics, 3 (2017) 693–702.
► D. Khojasteh Salkuyeh, A. Tavakoli, Interpolated variational iteration method for initial value problems, Applied Mathematical Modeling, 40 (2016) 39793990.
► F.P.A. Beik and D.K. Salkuyeh, An iterative algorithm for the best approximate $(P,Q)$orthogonal symmetric and skewsymmetric solution pair of coupled matrix equations, Transactions of theInstitute of Measurement and Control, 39 (2017) 537–554.
► D.K. Salkuyeh, M. Hasani and F.P.A Beik, On the Preconditioned AOR Iterative Method for ZMatrices, Computational and Applied Mathematics, 36 (2017) pp 877–883.
► 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, 13 (2016) 2301–2318.
► 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.
► D.K. Salkuyeh, M. Masoudi, D. Hezari, On the generalized shiftsplitting preconditioner for saddle point problems, Applied Mathematics Letters, 48 (2015) 5561.
► 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.
► N. Aghazadeh, D.K. Salkuyeh, M. Bastani, Twoparameter generalized Hermitian and skewHermitian splitting iteration method, Interational Journal of Computer Mathematics, 93 (2016) 1119–1139.
► N. Aghazadeh, M. Bastani, D. K. Salkuyeh, The generalized Hermitian and skewHermitian splitting iterative method for image restoration, Applied Mathematical Modelling, 39 (2015) 61266138.
► 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.
► 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.
► D.K. Salkuyeh, On the solution of a class of fuzzy system of linear equations, Sadhana, 40 (2015) 369377.
► 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.
► D. K. Salkuyeh and Z. Hassanzadeh, A Newton twostage waveform relaxation method for solving systems of nonlinear algebraic equations, Mathematical Communications, 20 (2015) 115.
► D. K. Salkuyeh, F. P. A. Beik, Minimum norm leastsquares solution to general complex coupled linear matrix equations via iteration, FILOMAT, 29 (2015) 13891407.
► F. Toutounian, D. K. Salkuyeh, M. Mojarrab, LSMR iterative method for general coupled matrix equations, Journal of Applied Mathematics, 8, 2014.
► 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.
► D. K. Salkuyeh, A. Rafiei, H. Roohani, ILU Preconditioning Based on the FAPINV Algorithm, Opuscula Mathematica, 35 (2014) 235–250.
► D. K. Salkuyeh, V. Edalatpour, D. Hezari, Polynomial preconditioning for the GeneRank problem, Electronic Transactionson Numerical Analysis (ETNA), 41 (2014) 179189.
► 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.
► D. K. Salkuyeh, The PicardHSS iteration method for absolute value equations, Optimization Letters, 8 (2014) 2191–2202.
► 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.
► M. Hassani, D. K. Salkuyeh, On a class of multilevel preconditioners for Zmatrices, Afrika Matematika, 26 (2015) 201213.
► 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.
► 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.
► M. Hasani, D.k. Salkuyeh, Improvements of Two Preconditioned AOR Iterative Methods for ZMatrices, Bulletin of the IranianMathematical Society (BIMS) , 40 (2014) 357371.
► 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 ofMeasurement and Control, 36 (2014) 99110.
► D.K. Salkuyeh, F.P.A. Beik, An iterative method to solve symmetric positive definite matrix equations, Mathematical Reports 16 (2014) 271283.
► 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 .
► D. K. Salkuyeh, S. Shamsi, A. Sadeghi, An improved symmetric SOR iterative method for augmented systems, Tamkang J. Mathematics, 43 (2012) 479490.
► 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 .
► D.k. Salkuyeh, An Iterative Method for Symmetric Positive Semidefinite Linear System of Equations, Demonstratio Mathematica, 47 (2014) 482492.
► 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.
► M. Bastani and D. K. Salkuyeh, A highly accurate method to solve Fisher"s equation, PramanaJournal of Physics, 78 (2011) 335346.
► D. K. Salkuyeh and S. Shamsi, A Preconditioner for the SORlike Method for the Augmented Systems, Chiang Mai Journal ofScience, 39 (2012) 191199.
► 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.
► 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, AppliedMathematical Modelling, 36 (2012) 168172.
► 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]", NumericalLinear Algebra with Applications, 19 (2012) 885890.
► D. K. Salkuyeh, On the solution of the fuzzy Sylvester equation, Soft Computing, 15 (2010) 953961.
► 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.
► 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.
► D. K. Salkuyeh, A Sparse Approximate Inverse Preconditioner for Nonsymmetric Positive Definite Matrices, Journal of Applied Mathematics and Informatics, 28 (2010) 11311141.
► 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.
► D. K. Salkuyeh and F. Toutounian, Optimal Iterate of the Power and Inverse Iteration Methods, Applied NumericalMathematics, 59 (2009) 15371548.
► 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.
Books
1. Numerical Linear Algebra, Second Edition, 240 pages, Publisher: Guilan Academic Center for Education (http://gilan.acecr.ir/).
To buy the book please drop me a note at salkuyeh@gmail.com.
2. Numerical Methods in Linear Algebra (Second Edition) , 363 pages. Publisher: University of Guilan.
To buy the book please visit : http://www.ketabiran.ir
Errata to the first edition of the book.
3. Iterative Methods for Solving Linear System of Equations (in persian), 213 pages. Publisher: MowjChaharom.
To buy the book please visit: http://www.ketabiran.ir
My PhD students:
1Mehdi 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), Defense date: April, 2015.
2Davod Hezari, SOR iterative method and its acceleration for solving complex symmetric of linear equations, Defense date: February 2016.
3. Vahid Edalatpour, On the preconditioning of complex system of linear equations, Defense date: June 5, 2016.
4. Mohsen Masoudi, Some results on preconditioning of the saddle point problems, Defense date: Feb 26, 2019.
5. Tahereh Salimi Siahkolaei, 2016, Ongoing.
6. Maryam Rahimian, 2016, Ongoing.
7. Hamid Mirchi, 2017, Ongoing.
8. Maedeh pourbagher, 2018, Ongoing.
9. Hamed Aslani, 2018, Ongoing.
