Perturbations of functions of diagonalizable matrices

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12 Scopus citations

Abstract

Let A and à be n × n diagonalizable matrices and f be a function defined on their spectra. In the present paper, bounds for the norm of f(A) - f(Ã) are established. Applications to differential equations are also discussed.

Original languageEnglish
Pages (from-to)303-313
Number of pages11
JournalElectronic Journal of Linear Algebra
Volume20
DOIs
StatePublished - 1 Jan 2010

Keywords

  • Diagonalizable matrices
  • Matrix valued functions
  • Perturbations
  • Similarity of matrices

ASJC Scopus subject areas

  • Algebra and Number Theory

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