MODIFIED ITERATIVE METHODS FOR CONSISTENT LINEAR-SYSTEMS

被引：118

作者：

GUNAWARDENA, AD ^{[1
]}

JAIN, SK ^{[1
]}

SNYDER, L ^{[1
]}

机构：

[1] OHIO UNIV,DEPT MATH,ATHENS,OH 45701

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1991年 / 154卷

关键词：

D O I：

10.1016/0024-3795(91)90376-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to solve a linear system Ax = b, certain elementary row operations are performed on A before applying the Gauss-Seidel or Jacobi iterative methods. It is shown that when A is a nonsingular M-matrix or a singular tridiagonal M-matrix, the modified method yields considerable improvement in the rate of convergence for the iterative method. It is also shown that in some cases this method is superior to certain other modified iterative methods. The performance of this modified method on some matrices other than M-matrices is also investigated.

引用

页码：123 / 143

页数：21