Partially doubly strictly diagonally dominant matrices with applications-Reference-Cited by-同舟云学术

Partially doubly strictly diagonally dominant matrices with applications

Published:2023 Issue:5 Volume:31 Page:2994-3013
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Liu Yi¹,Gao Lei²,Zhao Tianxu²

Affiliation:

1. School of Mathematics and Computer Science, Yan'an University, Yan'an 716000, China

2. School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China

Abstract

<abstract><p>A new class of matrices called partially doubly strictly diagonally dominant (for shortly, PDSDD) matrices is introduced and proved to be a subclass of nonsingular $ H $-matrices, which generalizes doubly strictly diagonally dominant matrices. As applications, a new eigenvalue localization set for matrices is given, and an upper bound for the infinity norm bound of the inverse of PDSDD matrices is presented. Based on this bound, a new pseudospectra localization for matrices is derived and a lower bound for distance to instability is obtained.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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