New bounds for the minimum eigenvalue of the Fan product of two $M$-matrices

Title:

New bounds for the minimum eigenvalue of the Fan product of two $M$-matrices

Creator:

Cheng, Guanghui

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cd029a48-3201-43c5-838d-1873e84c10ba
uuid:cd029a48-3201-43c5-838d-1873e84c10ba

Subject:

Fan product, minimum eigenvalue, and $M$-matrix

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we mainly use the properties of the minimum eigenvalue of the Fan product of $M$-matrices and Cauchy-Schwarz inequality, and propose some new bounds for the minimum eigenvalue of the Fan product of two $M$-matrices. These results involve the maximum absolute value of off-diagonal entries of each row. Hence, the lower bounds for the minimum eigenvalue are easily calculated in the practical examples. In theory, a comparison is given in this paper. Finally, to illustrate our results, a simple example is also considered.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

63-68

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:1

Harvested from:

CDK

Metadata only:

false