Geodesic
A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 663-679

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/CMJ.2021.0092-21
Classification : 15A18, 15A42
Keywords: lower bound sequence; Hadamard product; $M$-matrix; doubly stochastic matrix; $S$-type eigenvalue inclusion set 
@article{10_21136_CMJ_2021_0092_21,
     author = {Zeng, Wenlong and Liu, Jianzhou},
     title = {A lower bound sequence for the minimum eigenvalue of {Hadamard} product of an $M$-matrix and its inverse},
     journal = {Czechoslovak Mathematical Journal},
     pages = {663--679},
     publisher = {mathdoc},
     volume = {72},
     number = {3},
     year = {2022},
     doi = {10.21136/CMJ.2021.0092-21},
     mrnumber = {4467934},
     zbl = {07584094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0092-21/}
}
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
SP  - 663
EP  - 679
VL  - 72
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0092-21/
DO  - 10.21136/CMJ.2021.0092-21
LA  - en
ID  - 10_21136_CMJ_2021_0092_21
ER  - 
%0 Journal Article
%A Zeng, Wenlong
%A Liu, Jianzhou
%T A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse
%J Czechoslovak Mathematical Journal
%D 2022
%P 663-679
%V 72
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0092-21/
%R 10.21136/CMJ.2021.0092-21
%G en
%F 10_21136_CMJ_2021_0092_21
Zeng, Wenlong; Liu, Jianzhou. A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 3, pp. 663-679. doi: 10.21136/CMJ.2021.0092-21

Cité par Sources :