New bound on eigenvalue of the Hadamard product of matrices

被引：0

作者：

Li, Hua ^{[1
]}

Li, Jian-Lei ^{[2
]}

Mu, Jing-Jing ^{[1
]}

机构：

[1] Henan Univ, Sch Math & Phys Sci, Pingdingshan 467044, Henan, Peoples R China

[2] North China Univ, Coll Math & Informat Sci, Zhengzhou 450011, Henan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 01期

关键词：

M-matrix; Hadamard product; Minimum eigenvalue; CONJECTURE; FIEDLER; MARKHAM; INVERSE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study the new lower bound for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse. The new lower bound improves the results of Li et al. [Y. T. Li, F. B. Chen, D. F. Wang, New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse, Lin. Alg. Appl. 430(2009)1423-1431.] and generalizes some corresponding results.

引用

页码：54 / 60

页数：7

共 50 条

[1] A New bound on eigenvalue of the Hadamard product of matrices
Chen, Fu-bin
Hao, Bing
Ren, Xian-hua
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 8 - 11
[2] A lower bound for the minimum eigenvalue of the Hadamard product of matrices
Chen, SC
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 378 : 159 - 166
[3] New lower bound of the determinant for Hadamard product on some totally nonnegative matrices
Yang Z.
Feng X.
Journal of Applied Mathematics and Computing, 2007, 25 (1-2) : 169 - 181
[4] Lower Bounds for the Minimum Eigenvalue of Hadamard Product of M-Matrices
Jianxing Zhao
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[5] Lower Bounds for the Minimum Eigenvalue of Hadamard Product of M-Matrices
Zhao, Jianxing
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (01)
[6] A NEW EIGENVALUE BOUND FOR THE HADAMARD PRODUCT OF AN M-MATRIX AND AN INVERSE M-MATRIX
Chen, Fubin
Li, Yaotang
Wang, Defeng
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2012, 23 : 287 - 294
[7] New Eigenvalue Inequalities for the Hadamard Product and Fan Product of Structured Tensors
Xu, Yangyang
He, Guinan
Shao, Licai
Chen, Zimo
TAIWANESE JOURNAL OF MATHEMATICS, 2025, 29 (01): : 189 - 213
[8] ON HADAMARD PRODUCT OF MATRICES
DJOKOVIC, DZ
MATHEMATISCHE ZEITSCHRIFT, 1965, 86 (05) : 395 - &
[9] New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
Guo, Qian-Ping
Li, Hou-Biao
Song, Ming-Yan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[10] NEW BOUNDS FOR EIGENVALUES OF THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES
Cheng, Guang-Hui
TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (01): : 305 - 312

← 1 2 3 4 5 →