The convergence conditions of the psd iterative method for linear systems

Abstract

In this paper, the PSD iterative method was proposed by Evans and Missirlis [4], for solving a large nonsingular system of linear equations Ax=b A general necessary condition for con-vergence of the PSD iterative method is obtained. The convergence theorems of the PSD iterative method are established under the condition that the coefficient matrix A is an H-matrix, our theorems improve and extend some known results.

Keywords:

• The Psd Iterative Method
• Convergence
• Necessary Condition
• H-Matrix
• Linear System

C.R. Category:

• G1.3

AMS(MOS) Subject Classification:

• 65F10