Davod Khojasteh Salkuyeh

University of Guilan

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Fatemeh Panjeh Ali Beik

Vali Asr University of Rafsanjan

Davod Hezari

University of Guilan

F. Toutounian

Ferdowsi University of Mashhad

Vahid Edalatpour

University of Guilan

Mohsen Masoudi

Iran University of Medical Sciences

Mehdi Bastani

University of Mohaghegh Ardabili

Hamed Aslani

University of Guilan

Maeddeh Pourbagher

University of Guilan

Hadi Roohani Ghehsareh

Malek Ashtar University of Technology

Mohsen Hasani

Shahid Beheshti University

Cooperative Institutions

University of Guilan

University of Mohaghegh Ardabili

Ferdowsi University of Mashhad

Persian Gulf University

Iran University of Science and Technology

Vali Asr University of Rafsanjan

Islamic Azad University, Tehran

Payame Noor University

Nanjing Normal University

Islamic Azad University, Karaj

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On a class of multi-level preconditioners for Z-matrices

Afrika Matematika (2013)

Mohsen Hasani Davod Khojasteh Salkuyeh

10.1007/s13370-013-0198-7

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A new block alternating splitting iteration method for solving a class of two-by-two block complex linear systems

arXiv (Cornell University) (2021)

Davod Khojasteh Salkuyeh Maeddeh Pourbagher

A block alternating splitting iteration (BASI) method is presented for solving the system arising from the finite element discretization of the distributed optimal control problem with time-periodic parabolic equations. We prove that the BASI method is unconditionally convergent. We derive the BASI preconditioner and present an estimation formula for the parameter of the BASI preconditioner. Numerical results are presented to verify the efficiency of both the BASI method and the BASI preconditioner. Comparison with some existing methods are also given.

10.48550/arxiv.2109.10815

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Optimal iterate of the power and inverse iteration methods

Applied Numerical Mathematics (2008)

Davod Khojasteh Salkuyeh F. Toutounian

Iterated function

Truncation error

Sequence (biology)

Truncation (statistics)

Rayleigh quotient iteration

Matrix (chemical analysis)

10.1016/j.apnum.2008.10.004

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Citations (10)

A modification of the generalized shift-splitting method for singular saddle point problems

arXiv (Cornell University) (2016)

Davod Khojasteh Salkuyeh Maryam Rahimian

A modification of the generalized shift-splitting (GSS) method is presented for solving singular saddle point problems. In this kind of modification, the diagonal shift matrix is replaced by a block diagonal matrix which is symmetric positive definite. Semi-convergence of the proposed method is investigated. The induced preconditioner is applied to the saddle point problem and the preconditioned system is solved by the restarted generalized minimal residual method. Eigenvalue distribution of the preconditioned matrix is also discussed. Finally some numerical experiments are given to show the effectiveness and robustness of the new preconditioner. Numerical results show that the modified GSS method is superior to the classical GSS method.

Saddle point

Robustness

Block matrix

Saddle

Diagonal matrix

Matrix (chemical analysis)

10.48550/arxiv.1605.05818

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A sparse-sparse iteration for computing a sparse incomplete factorization of the inverse of an SPD matrix

Applied Numerical Mathematics (2008)

Davod Khojasteh Salkuyeh F. Toutounian

Matrix (chemical analysis)

10.1016/j.apnum.2008.07.002

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Citations (1)

An iterative algorithm for the best approximate (P, Q)-orthogonal symmetric and skew-symmetric solution pair of coupled matrix equations

Transactions of the Institute of Measurement and Control (2015)

Fatemeh Panjeh Ali Beik Davod Khojasteh Salkuyeh

This paper deals with developing a robust iterative algorithm to find the least-squares ( P, Q)-orthogonal symmetric and skew-symmetric solution sets of the generalized coupled matrix equations. To this end, first, some properties of these type of matrices are established. Furthermore, an approach is offered to determine the optimal approximate ( P, Q)-orthogonal (skew-)symmetric solution pair corresponding to a given arbitrary matrix pair. Some numerical experiments are reported to confirm the validity of the theoretical results and to illustrate the effectiveness of the proposed algorithm.

Skew-symmetric matrix

Matrix (chemical analysis)

Orthogonal matrix

10.1177/0142331215611212

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Citations (2)

A new iterative method for solving a class of two-by-two block complex linear systems.

arXiv (Cornell University) (2020)

Davod Khojasteh Salkuyeh

We present an iterative method for solving the system arisen from finite element discretization of a distributed optimal control problem with time-periodic parabolic equations. We prove that the method is unconditionally convergent. Numerical results are presented to demonstrate the efficiency of the proposed method.

Source

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On the preconditioned AOR iterative method for Z-matrices

arXiv (Cornell University) (2011)

Davod Khojasteh Salkuyeh Mohsen Hasani Fatemeh Panjeh Ali Beik

Several preconditioned AOR methods have been proposed to solve system of linear equations $Ax=b$, where $A \in \mathbb{R}^{n \times n}$ is a unit Z-matrix. The aim of this paper is to give a comparison result for a class of preconditioners $P$, where $P\in \mathbb{R}^{n\times n}$ is nonsingular, nonnegative and has unit diagonal entries. Numerical results for corresponding preconditioned GMRES methods are given to illustrate the theoretical results.

Matrix (chemical analysis)

10.48550/arxiv.1106.5087

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New general solutions for the general elliptic and auxiliary equations and application to the coupled KdV equation

International Journal of Computer Mathematics (2010)

Hadi Roohani Ghehsareh Davod Khojasteh Salkuyeh

Abstract In this article, we first obtain generalized soliton solutions of the general elliptic and auxiliary equations by the Exp-function method. Then by the obtained solutions, we find new and more general solutions of the coupled KdV equation. Keywords: Exp-function methodgeneral elliptic equationauxiliary equationsub-equation methodcoupled KdV system 2000 AMS Subject Classification : 35C05 Acknowledgements The authors would like to thank the anonymous referees for their useful comments.

Elliptic function

Jacobi elliptic functions

10.1080/00207160902783540

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Citations (1)

A new generalization of the Hermitian and skew-Hermitian splitting method for solving the continuous Sylvester equation

Transactions of the Institute of Measurement and Control (2016)

Davod Khojasteh Salkuyeh Mehdi Bastani

The two-parameter generalized Hermitian and skew-Hermitian splitting (TGHSS) iteration method is applied to solve the continuous Sylvester equation [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text]. The matrix-vector form of the equation is considered to present convergence properties of the TGHSS method. Some numerical examples are given to show the effectiveness and accuracy of the method. Comparison with other methods is also included.

Sylvester equation

Matrix (chemical analysis)

Sylvester matrix

10.1177/0142331216656759

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Citations (3)