An Iterative Method for Symmetric Positive Semidefinite Linear System of Equations

Abstract

In this paper, a new two-step iterative method for solving symmetric positive semidefinite linear system of equations is presented. A sufficient condition for the semiconvergence of the method is also given. Some numerical experiments are presented to show the efficiency of the proposed method.

Keywords

• linear system of equations
• two-step iterative method
• symmetric positive semidefinite
• semiconvergence
• singular matrix