A generalized iterative method and comparison results using projection techniques for solving linear systems

被引：6

作者：

Hou, Guoliang ^{[1
,2
]}

Wang, Li ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Peoples R China

[2] Changchun Normal Univ, Sch Math Sci, Changchun, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 02期

关键词：

Linear system; Projection technique; Petrov-Galerkin (Galerkin) condition; Comparison result; APPROXIMATION; ACCELERATION; ALGORITHMS; EQUATIONS;

D O I：

10.1016/j.amc.2009.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In [Y.-F. Jing, T.-Z. Huang, On a new iterative method for solving linear systems and comparison results, J. Comput. Appl. Math. 220 (2008) 74-84], Jing and Huang obtained a new iterative method for solving linear systems. This method can be considered as a projection method which uses a two-dimensional space at each step. In this paper, we generalize this method to a three-dimensional projection process. And a different approach is established, which is both theoretically and numerically proven to be better than (or at least the same as) [Jing and Huang's (2008)]. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：806 / 817

页数：12

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