On the location of eigenvalues of real constant row-sum matrices

Frank J. Hall; Rachid Marsli

doi:10.4134/BKMS.b170964

On the location of eigenvalues of real constant row-sum matrices

Frank J. Hall, Rachid Marsli

Preparatory Year Program

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2 Scopus citations

Abstract

New inclusion sets are obtained for the eigenvalues of real matrices for which the all 1’s vector is an eigenvector, i.e., the constant row-sum real matrices. A number of examples are provided. This paper builds upon the work of the authors in [7]. The results of this paper are in terms of Geršgorin discs of the second type. An application of the main theorem to bounding the algebraic connectivity of connected simple graphs is obtained.

Original language	English
Pages (from-to)	1691-1701
Number of pages	11
Journal	Bulletin of the Korean Mathematical Society
Volume	55
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.b170964
State	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018 Korean Mathematical Society.

Keywords

E-matrix
Eigenvalue
Geršgorin disc
Radius
Stochastic matrix

ASJC Scopus subject areas

General Mathematics

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10.4134/BKMS.b170964

Cite this

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title = "On the location of eigenvalues of real constant row-sum matrices",

abstract = "New inclusion sets are obtained for the eigenvalues of real matrices for which the all 1{\textquoteright}s vector is an eigenvector, i.e., the constant row-sum real matrices. A number of examples are provided. This paper builds upon the work of the authors in [7]. The results of this paper are in terms of Ger{\v s}gorin discs of the second type. An application of the main theorem to bounding the algebraic connectivity of connected simple graphs is obtained.",

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AU - Marsli, Rachid

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KW - E-matrix

KW - Eigenvalue

KW - Geršgorin disc

KW - Radius

KW - Stochastic matrix

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ER -

On the location of eigenvalues of real constant row-sum matrices

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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