A modified GHSS method for non-Hermitian positive definite linear systems

被引：0
|
作者：
Cui-Xia Li
Shi-Liang Wu
机构：
[1] Anyang Normal University,School of Mathematics and Statistics
[2] Chengdu University of Information Technology,College of Mathematics
来源：
Japan Journal of Industrial and Applied Mathematics | 2012年 / 29卷
关键词：
Non-Hermitian matrix; Hermitian matrix; Matrix splitting; HSS iteration; GHSS iteration; MGHSS iteration; IMGHSS iteration;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with a modified version of the generalization of Hermitian and skew-Hermitian splitting iteration (MGHSS) to solve the non-Hermitian positive definite linear systems. The corresponding inexact MGHSS (IMGHSS) method is developed by employing some Krylov subspace methods as its inner process. Numerical examples are reported to confirm the efficiency of the proposed methods.
引用
收藏
页码：253 / 268
页数：15
相关论文
共 50 条
  • [1] A modified GHSS method for non-Hermitian positive definite linear systems
    Li, Cui-Xia
    Wu, Shi-Liang
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2012, 29 (02) : 253 - 268
  • [2] A modified GPSS method for non-Hermitian positive definite linear systems
    Li, Wen-Wei
    Wang, Xiang
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 234 : 253 - 259
  • [3] Convergence of TTS Iterative Method for Non-Hermitian Positive Definite Linear Systems
    Zhang, Cheng-Yi
    Yang, Yu-Qian
    Sun, Qiang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [4] A generalized preconditioned HSS method for non-Hermitian positive definite linear systems
    Yang, Ai-Li
    An, Jing
    Wu, Yu-Jiang
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (06) : 1715 - 1722
  • [5] A Class of Preconditioners for non-Hermitian Positive Definite Linear Systems
    Li, Liang
    Huang, Ting-Zhu
    Ren, Zhi-Gang
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 28 - 31
  • [6] A note on the modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
    School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China
    WSEAS Trans. Math., 2008, 5 (323-332): : 323 - 332
  • [7] Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems
    Li, Liang
    Huang, Ting-Zhu
    Liu, Xing-Ping
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 14 (03) : 217 - 235
  • [8] Hermitian and normal splitting methods for non-Hermitian positive definite linear systems
    Cao, Yang
    Mao, Lin
    Xu, Xun-Qian
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 690 - 702
  • [9] POSITIVE DEFINITE AND SEMI-DEFINITE SPLITTING METHODS FOR NON-HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS
    Huang, Na
    Ma, Changfeng
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2016, 34 (03) : 300 - 316
  • [10] A single-step HSS method for non-Hermitian positive definite linear systems
    Li, Cui-Xia
    Wu, Shi-Liang
    APPLIED MATHEMATICS LETTERS, 2015, 44 : 26 - 29
12345