Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations

被引：5

作者：

Wu, XY ^{[1
]}

Shao, R ^{[1
]}

Xue, GH ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期

关键词：

iterative improvement; ill-conditioned linear systems; Iterative methods for linear systems;

D O I：

10.1016/S0096-3003(01)00141-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Although the idea of iteration refinement for improving the computed solution to a system of linear equations can go back to 1948, the technique has remained popular [SIAM, Philadelphia, PA, 1998; BIT 17 (1977) 303; Math. Comput. 35 (1980) 817; J. Numer. Anal. 17(4) (1997) 495]. In this paper, a new iterative improvement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations is proposed. Both theoretical convergence analysis and numerical experiments are presented to show the efficiency and accuracy of our method. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：235 / 244

页数：10

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