GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE

被引：6
|
作者：
白中治
王德人
机构：
[1] Department of Mathematics Shanghai University of Science and Technology
[2] PRC.
[3] Shanghai 201800
来源：
Numerical Mathematics(Theory,Methods and Applications) | 1993年 / 01期
关键词：
System of linear equations; matrix mullisplilting; relaxation method; convergence; divergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix.
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页码：87 / 100
页数：14
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