Study on the Convergence of Solving Linear Equations by Gauss-Seidel and Jacobi Method

被引：10

作者：

Liu Hongxia ^{[1
]}

Feng Tianxiang ^{[1
]}

机构：

[1] Dongguan Polytech, Dept Basic Courses, Dongguan 523808, Peoples R China

来源：

2015 11TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS) | 2015年

关键词：

Gauss Seidel method; Jacobi method; iteration; convergence;

D O I：

10.1109/CIS.2015.32

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

First, the convergence conditions of Gauss - Seidel method and Jacobi method are shown. And then the iterative times of the two methods are discussed and the formula of estimate iterative times is obtained. Finally, a numerical example is calculated by the two methods and the results show the actual iterative times and the estimate iterative times are basically equal.

引用

页码：100 / 103

页数：4