On invertibility and positive invertibility of matrices

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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 languageEnglish
Pages (from-to)95-104
Number of pages10
JournalLinear Algebra and Its Applications
Volume327
Issue number1-3
DOIs
StatePublished - 15 Apr 2001

Keywords

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

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