COMPARISON RESULTS ON THE PRECONDITIONED MIXED-TYPE SPLITTING ITERATIVE METHOD FOR M-MATRIX LINEAR SYSTEMS

被引：0

作者：

Moghadam, M. Mohseni ^{[1
]}

Beik, F. Panjeh Ali ^{[2
]}

机构：

[1] Islamic Azad Univ Kerman, Dept Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2012年 / 38卷 / 02期

关键词：

Linear system; mixed-type splitting iterative method; preconditioned matrix; M-matrix;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the linear system Ax = b where the coefficient matrix A is an M-matrix. Here, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditioned matrix. Comparison theorems show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than the preconditioned mixed-type splitting and AOR (SOR) iterative methods. Finally, some numerical examples are presented to illustrate the reality of our results.

引用

页码：349 / 367

页数：19