Characterizations of inverse M-matrices with special zero patterns

Rong Huang; Jianzhou Liu; Nung Sing Sze

doi:10.1016/j.laa.2010.04.030

Characterizations of inverse M-matrices with special zero patterns

Rong Huang, Jianzhou Liu, Nung Sing Sze

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

In this paper, we provide some characterizations of inverse M-matrices with special zero patterns. In particular, we give necessary and sufficient conditions for k-diagonal matrices and symmetric k-diagonal matrices to be inverse M-matrices. In addition, results for triadic matrices, tridiagonal matrices and symmetric 5-diagonal matrices are presented as corollaries.

Original language	English
Pages (from-to)	994-1000
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	433
Issue number	5
DOIs	https://doi.org/10.1016/j.laa.2010.04.030
Publication status	Published - 15 Oct 2010

Keywords

Inverse M-matrices
k-Diagonal matrices
Zero-pattern invariant

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2010.04.030

Cite this

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abstract = "In this paper, we provide some characterizations of inverse M-matrices with special zero patterns. In particular, we give necessary and sufficient conditions for k-diagonal matrices and symmetric k-diagonal matrices to be inverse M-matrices. In addition, results for triadic matrices, tridiagonal matrices and symmetric 5-diagonal matrices are presented as corollaries.",

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AU - Liu, Jianzhou

AU - Sze, Nung Sing

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N2 - In this paper, we provide some characterizations of inverse M-matrices with special zero patterns. In particular, we give necessary and sufficient conditions for k-diagonal matrices and symmetric k-diagonal matrices to be inverse M-matrices. In addition, results for triadic matrices, tridiagonal matrices and symmetric 5-diagonal matrices are presented as corollaries.

AB - In this paper, we provide some characterizations of inverse M-matrices with special zero patterns. In particular, we give necessary and sufficient conditions for k-diagonal matrices and symmetric k-diagonal matrices to be inverse M-matrices. In addition, results for triadic matrices, tridiagonal matrices and symmetric 5-diagonal matrices are presented as corollaries.

KW - Inverse M-matrices

KW - k-Diagonal matrices

KW - Zero-pattern invariant

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DO - 10.1016/j.laa.2010.04.030

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JO - Linear Algebra and Its Applications

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ER -

Characterizations of inverse M-matrices with special zero patterns

Abstract

Keywords

ASJC Scopus subject areas

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