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

Jianxing 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 -