Criteria and Schur Complements of H-matrices

Authors

Jianzhou Liu, Xiangtan University
Fuzhen Zhang, Nova Southeastern University; Shenyang Normal UniversityFollow

Document Type

Article

Publication Date

2-1-2010

Publication Title

Journal of Applied Mathematics and Computing

Keywords

Comparison matrix, Diagonally dominant matrix, Geršgorin theorem, H-matrix, M-matrix, Schur complement

ISSN

1598-5865

Volume

32

Issue/No.

1

First Page

119

Last Page

133

Abstract

The purpose of this paper is twofold: We first present a sufficient condition for testing strictly generalized diagonally dominant matrices (i.e., H-matrices) and we claim that our criterion is superior to the existing ones. We then show that the proper subset of the H-matrices determined by the condition preserves the closure property under the Schur complement operation

Comments

Mathematics Subject Classification (2000)

15A4815A45

NSUWorks Citation

Liu, Jianzhou and Zhang, Fuzhen, "Criteria and Schur Complements of H-matrices" (2010). Mathematics Faculty Articles. 48.
https://nsuworks.nova.edu/math_facarticles/48

DOI

10.1007/s12190-009-0237-6