Further results on Geršgorin Discs

Rachid Marsli; Frank J. Hall

doi:10.1016/j.laa.2013.02.021

Further results on Geršgorin Discs

Rachid Marsli
, Frank J. Hall^*

^*Corresponding author for this work

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

5 Scopus citations

Abstract

This paper extends the work on Geršgorin Discs in the two articles "Geometric Multiplicities and Geršgorin Discs", The American Mathematical Monthly, to appear, by R. Marsli and F. Hall, and "Geršgorin Discs Revisited", Linear Algebra Appl. 438 (2013) 598-603, by M. Fiedler, F. Hall, and R. Marsli. The new results involve the algebraic multiplicity, the index of an eigenvalue, powers of matrices, and matrices in a given similarity class.

Original language	English
Pages (from-to)	189-195
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	439
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2013.02.021
State	Published - 1 Jun 2013
Externally published	Yes

Keywords

Algebraic multiplicity
Geometric multiplicity
Geršgorin disc

ASJC Scopus subject areas

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

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title = "Further results on Ger{\v s}gorin Discs",

abstract = "This paper extends the work on Ger{\v s}gorin Discs in the two articles {"}Geometric Multiplicities and Ger{\v s}gorin Discs{"}, The American Mathematical Monthly, to appear, by R. Marsli and F. Hall, and {"}Ger{\v s}gorin Discs Revisited{"}, Linear Algebra Appl. 438 (2013) 598-603, by M. Fiedler, F. Hall, and R. Marsli. The new results involve the algebraic multiplicity, the index of an eigenvalue, powers of matrices, and matrices in a given similarity class.",

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AU - Hall, Frank J.

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AB - This paper extends the work on Geršgorin Discs in the two articles "Geometric Multiplicities and Geršgorin Discs", The American Mathematical Monthly, to appear, by R. Marsli and F. Hall, and "Geršgorin Discs Revisited", Linear Algebra Appl. 438 (2013) 598-603, by M. Fiedler, F. Hall, and R. Marsli. The new results involve the algebraic multiplicity, the index of an eigenvalue, powers of matrices, and matrices in a given similarity class.

KW - Algebraic multiplicity

KW - Geometric multiplicity

KW - Geršgorin disc

UR - https://www.scopus.com/pages/publications/84876666262

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

Further results on Geršgorin Discs

Abstract

Keywords

ASJC Scopus subject areas

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