On the spectral properties of M-matrices and its applications

Wen Li; Weiwei Sun

doi:10.1007/bf02684043

On the spectral properties of M-matrices and its applications

Wen Li, Weiwei Sun

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

Let A be an M-matrix and B be a Z-matrix. In this paper we reveal the spectral relationship of A and B under some interesting conditions. Applying this result, we solve an open problem on splittings of an M-matrix and partially answer an open problem on the level diagrams for A and B.

Original language	English
Pages (from-to)	418-424
Journal	Acta Mathematicae Applicatae Sinica
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/bf02684043
Publication status	Published - Oct 1999

Research Keywords

Level diagram
M-matrix
Reduced graph
Singular graph
Splitting
Z-matrix

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AU - Li, Wen

AU - Sun, Weiwei

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N2 - Let A be an M-matrix and B be a Z-matrix. In this paper we reveal the spectral relationship of A and B under some interesting conditions. Applying this result, we solve an open problem on splittings of an M-matrix and partially answer an open problem on the level diagrams for A and B.

AB - Let A be an M-matrix and B be a Z-matrix. In this paper we reveal the spectral relationship of A and B under some interesting conditions. Applying this result, we solve an open problem on splittings of an M-matrix and partially answer an open problem on the level diagrams for A and B.

KW - Level diagram

KW - M-matrix

KW - Reduced graph

KW - Singular graph

KW - Splitting

KW - Z-matrix

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M3 - RGC 21 - Publication in refereed journal

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

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ER -

On the spectral properties of M-matrices and its applications

Abstract

Research Keywords

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