‖A-1‖∞的估计和等对角优势之二

计算物理 ›› 1992, Vol. 9 ›› Issue (3): 323-329.

‖A^-1‖_∞的估计和等对角优势之二

胡家赣

北应用物理与计算数学研究所, 100088

收稿日期:1991-08-20 出版日期:1992-09-25 发布日期:1992-09-25

ESTI MATES OF ‖A^-1‖_∞ AND EQUIDIAGONAL-DOMINANCE (2)

Hu JiaGuan

Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, 100088, China

Received:1991-08-20 Online:1992-09-25 Published:1992-09-25

摘要/Abstract

摘要： 本文在作者前一文的基础上又给出了‖A^-1‖_∞的一些估计式,并阐明了它们与Varga估计式的关系,文中还举了一些有趣的例子。

关键词: A^-1的模, 对角优势, 等对角优势

Abstract: In this paper, some estimates of ‖A^-1‖_∞ based on our previous paper are given, The relation between these estimates and Varga's estimate in [2] is illustrated. For several interesting matrices the norm ‖A^-1‖_∞ are found by use of our method, These examples show that our method is preferable.

Key words: norm of A^-1, diagonal dominance, equidiagonal dominance

胡家赣. ‖A^-1‖_∞的估计和等对角优势之二[J]. 计算物理, 1992, 9(3): 323-329.

Hu JiaGuan. ESTI MATES OF ‖A^-1‖_∞ AND EQUIDIAGONAL-DOMINANCE (2)[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(3): 323-329.

[1]	雷光耀, 张石峰. 阶矩阵及其在传统预处理方法中的应用[J]. 计算物理, 1991, 8(2): 196-202.
[2]	胡家赣. ‖A^-1‖_∞的上界和等对角优势[J]. 计算物理, 1991, 8(1): 68-78.