一类本身具有预条件功能的ABS型共轭梯度算法

被引:1
作者
李春光
游兆永
机构
[1] 西安交通大学
关键词
预条件; ABS; 共轭梯度算法; 共轭斜量法; 功能;
D O I
暂无
中图分类号
O241 [数值分析];
学科分类号
摘要
This paper presents a new CG-type algorithm for solving large linear systems. It isobtained from a subclass of the ABS algorithm-Voyevodin's CG method by choosingthe parameter matrix B in some special ways. Having preconditioning properties, thematrix B makes the new algorithm converge fast. The convergence analysis is given.Several ways for choosing B, which are similar to the polynomial preconditioing, arediscussed. Numerical tests indicate that the new algorithm is effective and competitive.Besides, it is suitable for parallel architectectures.
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页码:131 / 137
页数:7
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