On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse-Reference-Cited by-同舟云学术

On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse

Published:2020-01-17 Issue:3 Volume:28 Page:439-443
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Özel Mustafa¹^ORCID,Varol Dilek²

Affiliation:

1. Dokuz Eylül University , Faculty of Engineering , Tinaztepe Campus, Buca, 35160 Izmir , Turkey

2. Graduate School of Natural and Applied Sciences of Dokuz Eylül University , Tinaztepe Campus, Buca, 35160 Izmir , Turkey

Abstract

Abstract Recently, some authors have established a number of inequalities involving the minimum eigenvalue for the Hadamard product of M-matrices. In this paper, we improve these results and give some new lower bounds on the minimum eigenvalue for the Hadamard product of an M-matrix A and its inverse A - 1

{A^{-1}}

. Finally, it is shown by the numerical examples that our bounds are also better than some previous results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2019-2081/pdf

Reference6 articles.

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3. H. B. Li, T. Z. Huang, S. Q. Shen and H. Li, Lower bounds for the minimum eigenvalue of Hadamard product of an M-matrix and its inverse, Linear Algebra Appl. 420 (2007), no. 1, 235–247.

4. Y. T. Li, F. B. Chen and D. F. Wang, New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse, Linear Algebra Appl. 430 (2009), no. 4, 1423–1431.

5. Y. T. Li, X. Liu, X. Y. Yang and C. Q. Li, Some new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse, Electron. J. Linear Algebra 22 (2011), 630–643.

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