An upper bound for ∥ A-1 ∥∞ of strictly diagonally dominant M-matrices

被引：12

作者：

Cheng, Guang-Hui ^{[1
]}

Huang, Ting-Hu ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 426卷 / 2-3期

关键词：

diagonal dominance; M-matrix; inverse M-matrix;

D O I：

10.1016/j.laa.2007.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for parallel to A(-1)parallel to(infinity). Furthermore, the lower bound of the smallest eigenvalue q(A) is established. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：667 / 673

页数：7

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