New upper bounds for ∥A-1∥∞ of strictly diagonally dominant M-matrices

被引：0

作者：

Wang, Feng ^{[1
]}

Sun, De-shu ^{[1
]}

Zhao, Jian-xing ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Coll Sci, Guiyang 550025, Guizhou, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

diagonal dominance; M-matrix; infinity norm; upper bound; minimum eigenvalue;

D O I：

10.1186/s13660-015-0696-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 alpha-diagonally dominant M-matrix is presented. Finally, we give numerical examples to illustrate our results.

引用

页数：8

共 8 条

[1] An upper bound for ∥ A-1 ∥∞ of strictly diagonally dominant M-matrices [J].

Cheng, Guang-Hui ;

Huang, Ting-Hu .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 426 (2-3) :667-673

[2] Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix [J].

Li, Yao-tang ;

Wang, Feng ;

Li, Chao-qian ;

Zhao, Jian-xing .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[3] New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse [J].

Li, Yao-Tang ;

Chen, Fu-Bin ;

Wang, De-Feng .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (04) :1423-1431

[4] On two-sided bounds related to weakly diagonally dominant M-matrices with application to digital circuit dynamics [J].

Shivakumar, PN ;

Williams, JJ ;

Ye, Q ;

Marinov, CA .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (02) :298-312

[5] LOWER BOUND FOR SMALLEST SINGULAR VALUE OF A MATRIX [J].

VARAH, JM .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 11 (01) :3-5

[6] An upper bound for ∥A-1∥∞ of strictly diagonally dominant M-matrices [J].

Wang, Ping .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (5-7) :511-517

[7]

Xu S, 1986, THEORY METHODS MATRI

[8]

[张月朗 Zhang Yuelang], 2009, [高等学校计算数学学报, Numerical Mathematics A Journal of Chinese University], V31, P119

← 1 →