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.
@article{bwmeta1.element.doi-10_1515_math-2016-0008,
author = {Jianxing Zhao and Caili Sang},
title = {Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {81-88},
zbl = {1350.15007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0008}
}
Jianxing Zhao; Caili Sang. Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix. Open Mathematics, Tome 14 (2016) pp. 81-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0008/