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A generalization of Yamamoto's theorem relating eigenvalue moduli and singular values of a matrix

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Abstract

In this paper we present a generalization of Yamamoto's theorem relating eigenvalue moduli and singular values of a matrix. In our generalization a single matrix is replaced by a bounded set of matrices. The main result of the paper includes also, as a special case, the equality between generalized spectral radius and joint spectral radius.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras, Theodore E. Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413924
DOIs
Publication statusPublished - 8 Jun 2016
EventInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rhodes, Greece
Duration: 23 Sept 201529 Sept 2015

Publication series

NameAIP Conference Proceedings
Volume1738
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Country/TerritoryGreece
CityRhodes
Period23/09/1529/09/15

Keywords

  • Yamamoto's theorem
  • eigenvalues
  • generalized spectral radius
  • joint spectral radius
  • singular values

ASJC Scopus subject areas

  • General Physics and Astronomy

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