New results on $M$-matrices, $H$-matrices and their inverse classes

New results on $M$-matrices, $H$-matrices and their inverse classes

In this article, some new results on $M$-matrices, $H$-matrices and their inverse classes are proved. Specifically, we study when a singular $Z$-matrix is an $M$-matrix, convex combinations of $H$-matrices, almost monotone $H$-matrices and Cholesky factorizations of $H$-matrices.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Electronic journal of linear algebra 2022-11, p.729-744
Hauptverfasser: Mondal, Samir, Sivakumar, K. C., Tsatsomeros, Michael
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this article, some new results on $M$-matrices, $H$-matrices and their inverse classes are proved. Specifically, we study when a singular $Z$-matrix is an $M$-matrix, convex combinations of $H$-matrices, almost monotone $H$-matrices and Cholesky factorizations of $H$-matrices.
ISSN:1081-3810
1081-3810
DOI:10.13001/ela.2022.7177