22 citations · 75 across the 28 of their papers we have counts for
31 papers
A parameterized block LU preconditioning for double saddle point problems
Hamed Aslani, Mehdi Najafi Kalyani, Davod Khojasteh Salkuyeh
We present a biparametric preconditioning technique for large, sparse, non-symmetric, and non-singular double saddle point problems. The preconditioner is induced using a stationar…
A variant of the block preconditioner for indefinite complex symmetric linear systems
Mehdi Makhdomi, Davod Khojasteh Salkuyeh
In this paper, we propose an efficient preconditioner for solving indefinite complex symmetric linear systems within a block preconditioning framework. We analyze the convergence o…
A block preconditioner with two parameters for double saddle point systems in liquid crystal director modeling
Mehdi Makhdomi, Davod Khojasteh Salkuyeh, Morad Ahmadnasab
This paper introduces a novel block preconditioner for a class of double saddle point systems arising from the finite element discretization of liquid crystal director modeling. We…
Inexact versions of several block-splitting preconditioners for indefinite least squares problems
Mohaddese Kaveh Shaldehi, Davod Khojasteh Salkuyeh
This paper introduces inexact versions of several block-splitting preconditioners for solving the three-by-three block linear systems arising from a special class of indefinite lea…
Positive semidefinite and positive semidefinite splitting iteration methods for solving nonsingular positive semidefinite systems
Mohsen Masoudi, Davod Khojasteh Salkuyeh
This article introduces an iterative method for solving nonsingular positive semidefinite systems of linear equations. To construct the iteration process, the coefficient matrix is…
Semi-convergence of the APSS method for a class of nonsymmetric three-by-three singular saddle point problems
Hamed Aslani, Davod Khojasteh Salkuyeh
For nonsymmetric block three-by-three singular saddle point problems arising from the Picard iteration method for a class of mixed finite element scheme, recently Salkuyeh et al. i…
A block triangular preconditioner for a class of three-by-three block saddle point problems
Hamed Aslani, Davod Khojasteh Salkuyeh
This paper deals with solving a class of three-by-three block saddle point problems. The systems are solved by preconditioning techniques. Based on an iterative method, we construc…
Robust iteration methods for complex systems with an indefinite matrix term
Owe Axelsson, Maeddeh Pourbagher, Davod Khojasteh Salkuyeh
Complex valued systems with an indefinite matrix term arise in important applications such as for certain time-harmonic partial differential equations such as the Maxwell's equatio…
A new block diagonal preconditioner for a class of block saddle point problems
Maryam Abdolmaleki, Saeed Karimi, Davod Khojasteh Salkuyeh
We study the performance of a new block preconditioner for a class of block saddle point problems which arise from finite element methods for solving time-dependent Maxw…
A new block alternating splitting iteration method for solving a class of two-by-two block complex linear systems
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…
A new iterative method for solving a class of two-by-two block complex linear systems
Davod Khojasteh Salkuyeh
We present a stationary iteration method, namely Alternating Symmetric positive definite and Scaled symmetric positive semidefinite Splitting (ASSS), for solving the system of line…
A shift-splitting preconditioner for asymmetric saddle point problems
Shi-Liang Wu, Davod Khojasteh Salkuyeh
In this paper, we execute the shift-splitting preconditioner for asymmetric saddle point problems with its (1,2) block's transposition unequal to its (2,1) block under the removed…
On the preconditioning of three-by-three block saddle point problems
Hamed Aslani, Davod Khojasteh Salkuyeh, Fatemeh Panjeh Ali Beik
We establish a new iterative method for solving a class of large and sparse linear systems of equations with three-by-three block coefficient matrices having saddle point structure…
Semi-convergence of the EPSS method for singular generalized saddle point problems
Mohsen Masoudi, Davod Khojasteh Salkuyeh
Recently, in (M. Masoudi, D.K. Salkuyeh, An extension of positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems, Computers \…
A new preconditioner for elliptic PDE-constrained optimization problems
Hamid Mirchi, Davod Khojasteh Salkuyeh
We propose a preconditioner to accelerate the convergence of the GMRES iterative method for solving the system of linear equations obtained from discretize-then-optimize approach a…
Two-step scale-splitting method for solving complex symmetric system of linear equations
Davod Khojasteh Salkuyeh
Based on the Scale-Splitting (SCSP) iteration method presented by Hezari et al. in (A new iterative method for solving a class of complex symmetric system linear of equations, Nume…
Two-parameter TSCSP method for solving complex symmetric system of linear equations
Davod Khojasteh Salkuyeh, Tahereh Salimi Siahkolaei
We introduce a two-parameter version of the two-step scale-splitting iteration method, called TTSCSP, for solving a broad class of complex symmetric system of linear equations. We…
A block lower triangular preconditioner for a class of complex symmetric system of linear equations
Davod Khojasteh Salkuyeh, Tahereh Salimi Siahkalaei
We present a block lower triangular (BLT) preconditioner to accelerate the convergence of nthe Krylov subspace iterative methods, such as generalized minimal residual (GMRES), for…
A modification of the generalized shift-splitting method for singular saddle point problems
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 r…
A new relaxed HSS preconditioner for saddle point problems
Davod Khojasteh Salkuyeh, Mohsen Masoudi
We present a preconditioner for saddle point problems. The proposed preconditioner is extracted from a stationary iterative method which is convergent under a mild condition. Some…
Interpolated variational iteration method for initial value problems
Davod Khojasteh Salkuyeh, Ali Tavakoli
In order to solve an initial value problem by the variational iteration method, a sequence of functions is produced which converges to the solution under some suitable conditions.…
A preconditioner based on the shift-splitting method for generalized saddle point problems
Davod Khojasteh Salkuyeh, Mohsen Masoudi, Davod Hezari
In this paper, we propose a preconditioner based on the shift-splitting method for generalized saddle point problems with nonsymmetric positive definite (1,1)-block and symmetric p…
On the generalized shift-splitting preconditioner for saddle point problems
Davod Khojasteh Salkuyeh, Mohsen Masoudi, Davod Hezari
In this paper, the generalized shift-splitting preconditioner is implemented for saddle point problems with symmetric positive definite (1,1)-block and symmetric positive semidefin…
Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations
Davod Hezari, Vahid Edalatpour, Davod Khojasteh Salkuyeh
In this paper, we present a preconditioned variant of the generalized successive overrelaxation (GSOR) iterative method for solving a broad class of complex symmetric linear system…