A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse

Zeng, Wenlong, and Liu, Jianzhou. "A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse." Czechoslovak Mathematical Journal 72.3 (2022): 663-679. <http://eudml.org/doc/298417>.

@article{Zeng2022,
abstract = {We propose a lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse, in terms of an $S$-type eigenvalues inclusion set and inequality scaling techniques. In addition, it is proved that the lower bound sequence converges. Several numerical experiments are given to demonstrate that the lower bound sequence is sharper than some existing ones in most cases.},
author = {Zeng, Wenlong, Liu, Jianzhou},
journal = {Czechoslovak Mathematical Journal},
keywords = {lower bound sequence; Hadamard product; $M$-matrix; doubly stochastic matrix; $S$-type eigenvalue inclusion set},
language = {eng},
number = {3},
pages = {663-679},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse},
url = {http://eudml.org/doc/298417},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Zeng, Wenlong
AU - Liu, Jianzhou
TI - A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 3
SP - 663
EP - 679
AB - We propose a lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse, in terms of an $S$-type eigenvalues inclusion set and inequality scaling techniques. In addition, it is proved that the lower bound sequence converges. Several numerical experiments are given to demonstrate that the lower bound sequence is sharper than some existing ones in most cases.
LA - eng
KW - lower bound sequence; Hadamard product; $M$-matrix; doubly stochastic matrix; $S$-type eigenvalue inclusion set
UR - http://eudml.org/doc/298417
ER -