New upper bounds for ∥A−1∥∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\|A^{-1}\|_{\infty}$\end{document} of strictly diagonally dominant M-matrices

被引：0
作者：
Feng Wang
De-shu Sun
Jian-xing Zhao
机构：
[1] Guizhou Minzu University,College of Science
来源：
Journal of Inequalities and Applications | / 2015卷 / 1期
关键词：
diagonal dominance; -matrix; infinity norm; upper bound; minimum eigenvalue; 15A42; 15A45;
D O I：
10.1186/s13660-015-0696-2
中图分类号：
学科分类号：
摘要：
A new upper bound for the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix is given, and the lower bound for the minimum eigenvalue of the matrix is obtained. Furthermore, an upper bound for the infinity norm of inverse matrix of a strictly α-diagonally dominant M-matrix is presented. Finally, we give numerical examples to illustrate our results.
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