A Preconditioned AOR Iterative Method for an H-Matrix

Author:

Zhang Shi Guang1

Affiliation:

1. Hengshui University

Abstract

The paper presents a preconditioned AOR iterative method if preconditioner is a general upper triangular matrix for solving a linear system whose coefficient matrix is an H-matrix. In addition, we discuss the convergence of corresponding methods. Finally, a numerical example is also given to illustrate our results.

Publisher

Trans Tech Publications, Ltd.

Reference5 articles.

1. Hadjimos: Accelerated overrelaxation method. Math. Comp. Vol. 32 (1978), pp.149-157.

2. X. F. Jiang, D. J Yuan etc: Convergence of the Preconditioned SOR-Type Iterative Method. Journal of Jiang nan University (Natural Science Edition). Vol. 9(2010), pp.339-342.

3. R. S. Varga: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, NJ, (1981).

4. K.Y. Fan: Topological proofs for certain theorems on matrices with non-negative elements. Monatsh. Math. Vol. 62(1958), pp.219-237.

5. Y. T. Li, S. F. Yang: A multi-parameters preconditioned AOR iterative method for linear systems . Applied Mathematics and Computation. Vol. 206(2008), p.465–473.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3