A New bound on eigenvalue of the Hadamard product of matrices

被引：0

作者：

Chen, Fu-bin ^{[1
]}

Hao, Bing ^{[1
]}

Ren, Xian-hua ^{[1
]}

机构：

[1] Kunming Univ Sci & Technol, Oxbridge Coll, Dept Architecture & Engn, Kunming 650106, Yunnan, Peoples R China

来源：

PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012) | 2012年

关键词：

M-matrix; Hadamard product; Minimum eigenvalue; INVERSE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If A and B are n x n nonsingular M-matrices, a new lower bound for the minimum eigenvalue tau(B o A(-1))for the Hadamard, product of B and A(-1) is derived. This bound improves several existing results.

引用

页码：8 / 11

页数：4

共 7 条

[1]

[Anonymous], 1979, NONNEGATIVE MATRICES

[2]

Chen J.L., 2000, SPECIAL MATRX

[3]

FIEDLER M, 1988, LINEAR ALGEBRA APPL, V101, P1

[4]

Horn RA., 2013, MATRIX ANAL

[5] Some inequalities for the Hadamard product and the Fan product of matrices [J].

Huang, Rong .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (07) :1551-1559

[6] Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices [J].

Li, Yao-Tang ;

Li, Yan-Yan ;

Wang, Rui-Wu ;

Wang, Ya-Qiang .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (2-3) :536-545

[7] 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

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