求解线性方程组的Jacobi和Gauss-Seidel迭代法的收敛定理  

Convergence Theorems of Jacobi and Gauss-Seidel Iterative Methods for Solving Linear Equations

作　　者：韩艳丽[1] 

机构地区：[1]河南理工大学数信学院,河南焦作454000

出　　处：《中国西部科技》2009年第20期31-31,共1页Science and Technology of West China

摘　　要：本文先描述了迭代法求解线性方程组的基本思想,然后给出三个收敛定理并分别对他们作出解释,最后说明在作题过程中这三个定理如何用和应该注意什么。This article firtly describes the basic thought of iterative methods for solving linear equations. Secondly it provides three convergence theorems and then it gives explains to them respectively.At last it proves how use and what should pay attention to these three theorems in the course of making the questions.

关 键 词：收敛定理 谱半径 范数 严格对角占优 

分 类 号：O241.6[理学—计算数学] TG610.1[理学—数学]