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应用科学学报 ›› 1998, Vol. 16 ›› Issue (3): 269-275.

• 论文 • 上一篇    下一篇

迭代矩阵谱半径的界

黄廷祝1, 白中治2   

  1. 1. 电子科技大学;
    2. 中国科学院计算数学与科学工程计算研究所
  • 收稿日期:1997-04-04 修回日期:1997-10-27 出版日期:1998-09-30 发布日期:1998-09-30
  • 作者简介:黄廷祝,Univ ersity of Electronic Science & Tech nology of China,Chengdu 610054
  • 基金资助:
    Supported by Sichuan Sci. & Tech. Foundation for Young Man and National Sci. Foundation

Bounds for Spectral Radii of Iterative Matrices-

HUANG TINGZHU1, BAI ZHONGZHI2   

  1. 1. Math. Department, University of Electronic Science & Technology of China, Chengdu 610054;
    2. Institute of Comp. Math. & Sci. Eng. Comp., Chinese Academy of Sciences, Beijing 100080
  • Received:1997-04-04 Revised:1997-10-27 Online:1998-09-30 Published:1998-09-30
  • Supported by:
    Supported by Sichuan Sci. & Tech. Foundation for Young Man and National Sci. Foundation

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114

被引次数

6

摘要： 将Nowosad和Hofman提出的G-函数概念应用于矩阵迭代分析研究,获得了迭代矩阵特征值模的界,且作为应用,得到了解线性方程组的一些迭代法的迭代阵谱半径的界.

关键词: 迭代, G-函数, 特征值, 谱半径

Abstract: In this paper, we apply the concept of G-functions introduced by Hoffman and Nowosad to obtain the bounds for moduli of eigenvalues of M-1 N, where M, N∈Cn,n,M is nonsingular. As their applications, we get the bounds for spectral radii of iterative matrices for solving linear systems.

Key words: iteration, spectral radius, G-function, eigenvalue