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- Davod Khojasteh Salkuyeh, Faezeh Toutounian
- Applied Mathematics and Computation
- 2006

In this paper, we propose two new algorithms based on modified global Arnoldi algorithm for solving large Sylvester matrix equations AX + XB = C where A ∈ R n×n , B ∈ R s×s , X and C ∈ R n×s. These algorithms are based on the global FOM and GMRES algorithms and we call them by Global FOM-Sylvester-Like(GFSL) and Global GMRES-Sylvester-Like(GGSL) algorithms,… (More)

- Mohammad Khorsand Zak, Faezeh Toutounian
- Computers & Mathematics with Applications
- 2013

In this paper, a method via sparse-sparse iteration for computing a sparse incomplete factorization of the inverse of a symmetric positive definite matrix is proposed. The resulting factorized sparse approximate inverse is used as a preconditioner for solving symmetric positive definite linear systems of equations by using the preconditioned conjugate… (More)

- Faezeh Toutounian, Fazlollah Soleymani
- Applied Mathematics and Computation
- 2013

Keywords: Moore–Penrose Singular matrix Approximate inverse GMRES method Rectangular matrix Preconditioning a b s t r a c t In this paper, an iterative scheme is proposed to find the roots of a nonlinear equation. It is shown that this iterative method has fourth order convergence in the neighborhood of the root. Based on this iterative scheme, we propose… (More)

- Davod Khojasteh Salkuyeh, Faezeh Toutounian
- Applied Mathematics and Computation
- 2006

One of the most important problem for solving the linear system Ax = b, by using the iterative methods, is to use a good stopping criterion and to determine the common significant digits between each corresponding components of computed solution and exact solution. In this paper, for a certain class of iterative methods, we propose a way to determine the… (More)

- Davod Khojasteh Salkuyeh, Faezeh Toutounian
- Applied Mathematics and Computation
- 2005

- Mohammad Khorsand Zak, Faezeh Toutounian
- Adv. Comput. Math.
- 2014

We present a nested splitting conjugate gradient iteration method for solving large sparse continuous Sylvester equation, in which both coefficient matrices are (non-Hermitian) positive semi-definite, and at least one of them is positive definite. This method is actually inner/outer iterations, which employs the Sylvester conjugate gradient method as inner… (More)

- Faezeh Toutounian
- Numerical Algorithms
- 1998

- A. Kaabi, Asghar Kerayechian, Faezeh Toutounian
- Applied Mathematics and Computation
- 2007

This paper presents a new version of the successive approximations method for solving Sylvester equations AX À XB = C, where A and B are symmetric negative and positive definite matrices, respectively. This method is based on the block GMRES-Sylvester method. We also discuss the convergence of the new method. Some numerical experiments for obtaining the… (More)

- Faezeh Toutounian, Nasser Akhoundi
- Numerical Algorithms
- 2012

In this paper, we propose to solve the Toeplitz linear systems T n x = b by a recursive-based method. The method is based on repeatedly dividing the original problem into two subproblems that involve the solution of systems containing the Schur complement of the leading principal submatrix of the previous level. The idea is to solve the linear systems S m y… (More)