The Convergence AnaIysis of the Different Matrix SpIitting under the New Pre-condition
ZHANG Hong-feng
Abstract：In recent years there is a great development in solving the linear equations ,especially af‐ter the introduction of the pre‐condition matrix ,and the linear method’s convergence rate accelerates greatly .What is the most important in the pre‐condition technology is how to find a suitable pre‐condi‐tion .In this paper we propose a new pre‐condition matrix ,and when the Ax= b coefficient matrix is non‐singular irreducible M‐matrix and H‐matrix respectively we discuss the convergence analysis of not only the pre‐conditioned ,but also we prove their convergence results under the new pre‐condition ,and dem‐onstrate the convergence rate of PSOR and PJOR is clearly much faster than that of the classical SOR and JOR method ,w hich show the superiority of our new per‐condition iterative method in this paper .
Keywords：pre-condition matrixM-matrixthe SOR iterative methodthe JOR iterative methodconvergence
Publication Date：2016-01-01
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：6( 13-18 )