On invertibility and positive invertibility of matrices

M. I. Gil'

doi:10.1016/S0024-3795(00)00313-X

On invertibility and positive invertibility of matrices

M. I. Gil'

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

New non-singularity and non-negative invertibility criteria for matrices are derived. They yield new bounds for the spectrum. Moreover, we obtain a bound for the norm of the inverse matrix and new estimates for the spectral radius.

Original language	English
Pages (from-to)	95-104
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	327
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(00)00313-X
State	Published - 15 Apr 2001

Keywords

15A18
15A9
Bounds for spectra
Matrices
Non-negative invertibility
Non-singularity

ASJC Scopus subject areas

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

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10.1016/S0024-3795(00)00313-X

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title = "On invertibility and positive invertibility of matrices",

abstract = "New non-singularity and non-negative invertibility criteria for matrices are derived. They yield new bounds for the spectrum. Moreover, we obtain a bound for the norm of the inverse matrix and new estimates for the spectral radius.",

keywords = "15A18, 15A9, Bounds for spectra, Matrices, Non-negative invertibility, Non-singularity",

author = "Gil', {M. I.}",

year = "2001",

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doi = "10.1016/S0024-3795(00)00313-X",

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N2 - New non-singularity and non-negative invertibility criteria for matrices are derived. They yield new bounds for the spectrum. Moreover, we obtain a bound for the norm of the inverse matrix and new estimates for the spectral radius.

AB - New non-singularity and non-negative invertibility criteria for matrices are derived. They yield new bounds for the spectrum. Moreover, we obtain a bound for the norm of the inverse matrix and new estimates for the spectral radius.

KW - 15A18

KW - 15A9

KW - Bounds for spectra

KW - Matrices

KW - Non-negative invertibility

KW - Non-singularity

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U2 - 10.1016/S0024-3795(00)00313-X

DO - 10.1016/S0024-3795(00)00313-X

M3 - Article

AN - SCOPUS:0035871542

SN - 0024-3795

VL - 327

SP - 95

EP - 104

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

On invertibility and positive invertibility of matrices

Abstract

Keywords

ASJC Scopus subject areas

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