Block Preconditioned SSOR Methods for -Matrices Linear Systems

Block Preconditioned SSOR Methods for H-Matrices Linear Systems

Received 9 January 2013; Accepted 12 March 2013 Academic Editor: Hak-Keung Lam Copyright © 2013 Z.-N. Pu and X.-Z. Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We present a block preconditioner and consider block precondi...

Preconditioned SSOR Iterative Method For Linear System With M-Matrices

A preconditioned SSOR iterative method with a multi-parameters preconditioner I + S̃α is proposed. Some convergence and comparison results for αi ∈ [0, 1] are given when the coefficient matrix of linear system A is a nonsingular M−matrix. Numerical example shows that our methods are superior to the basic SSOR iterative method.

Improvements of two preconditioned AOR iterative methods for Z-matrices

‎In this paper‎, ‎we propose two preconditioned AOR iterative methods to solve systems of linear equations whose coefficient matrices are Z-matrix‎. ‎These methods can be considered as improvements of two previously presented ones in the literature‎. ‎Finally some numerical experiments are given to show the effectiveness of the proposed preconditioners‎.‎

On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems

Preconditioned Gauss-seidel Iterative Method for Z-matrices Linear Systems

For Ax = b, it has recently been reported that the convergence of the preconditioned Gauss-Seidel iterative method which uses a matrix of the type P = I + S (α) to perform certain elementary row operations on is faster than the basic Gauss-Seidel method. In this paper, we discuss the adaptive Gauss-Seidel iterative method which uses P = I + S (α) + K̄ (β) as a preconditioner. We present some com...