Some new estimations for the hadamard product of a nonsingular m-matrix and its inverse

Zhengge Huang; Ligong Wang; Zhong Xu

doi:10.7153/mia-20-44

Some new estimations for the hadamard product of a nonsingular m-matrix and its inverse

Zhengge Huang
, Ligong Wang
, Zhong Xu

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, some new bounds for the minimum eigenvalue of the Hadamard product of a nonsingular M-matrix and its inverse are obtained, which improve some existing results. Finally, numerical examples are given to show that these bounds are better than some existing ones.

Original language	English
Pages (from-to)	661-682
Number of pages	22
Journal	Mathematical Inequalities and Applications
Volume	20
Issue number	3
DOIs	https://doi.org/10.7153/mia-20-44
State	Published - Jul 2017

Keywords

Hadamard product
Inequality
Minimum eigenvalue
Nonsingular M-matrix

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title = "Some new estimations for the hadamard product of a nonsingular m-matrix and its inverse",

abstract = "In this paper, some new bounds for the minimum eigenvalue of the Hadamard product of a nonsingular M-matrix and its inverse are obtained, which improve some existing results. Finally, numerical examples are given to show that these bounds are better than some existing ones.",

keywords = "Hadamard product, Inequality, Minimum eigenvalue, Nonsingular M-matrix",

author = "Zhengge Huang and Ligong Wang and Zhong Xu",

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T1 - Some new estimations for the hadamard product of a nonsingular m-matrix and its inverse

AU - Huang, Zhengge

AU - Wang, Ligong

AU - Xu, Zhong

PY - 2017/7

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N2 - In this paper, some new bounds for the minimum eigenvalue of the Hadamard product of a nonsingular M-matrix and its inverse are obtained, which improve some existing results. Finally, numerical examples are given to show that these bounds are better than some existing ones.

AB - In this paper, some new bounds for the minimum eigenvalue of the Hadamard product of a nonsingular M-matrix and its inverse are obtained, which improve some existing results. Finally, numerical examples are given to show that these bounds are better than some existing ones.

KW - Hadamard product

KW - Inequality

KW - Minimum eigenvalue

KW - Nonsingular M-matrix

UR - https://www.scopus.com/pages/publications/85020823948

U2 - 10.7153/mia-20-44

DO - 10.7153/mia-20-44

M3 - 文章

AN - SCOPUS:85020823948

SN - 1331-4343

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JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

Some new estimations for the hadamard product of a nonsingular m-matrix and its inverse

Abstract

Keywords

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