# Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 81-88
- ISSN: 2391-5455

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topJianxing Zhao, and Caili Sang. "Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix." Open Mathematics 14.1 (2016): 81-88. <http://eudml.org/doc/276892>.

@article{JianxingZhao2016,

abstract = {Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.},

author = {Jianxing Zhao, Caili Sang},

journal = {Open Mathematics},

keywords = {M-matrix; Hadamard product; Minimum eigenvalue; Lower bounds; Sequence; -matrix; minimum eigenvalue; lower bounds; sequence; inverse -matrix; numerical example},

language = {eng},

number = {1},

pages = {81-88},

title = {Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix},

url = {http://eudml.org/doc/276892},

volume = {14},

year = {2016},

}

TY - JOUR

AU - Jianxing Zhao

AU - Caili Sang

TI - Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix

JO - Open Mathematics

PY - 2016

VL - 14

IS - 1

SP - 81

EP - 88

AB - Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.

LA - eng

KW - M-matrix; Hadamard product; Minimum eigenvalue; Lower bounds; Sequence; -matrix; minimum eigenvalue; lower bounds; sequence; inverse -matrix; numerical example

UR - http://eudml.org/doc/276892

ER -

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