A new identity for resolvents of matrices

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1 Scopus citations


A new identity for resolvents of matrices is suggested. We show that in appropriate situations, it is more convenient than the Hilbert identity. In particular, we establish new invertibility conditions for perturbed matrices as well as new bounds for the spectrum of perturbed matrices.

Original languageEnglish
Pages (from-to)715-720
Number of pages6
JournalLinear and Multilinear Algebra
Issue number6
StatePublished - 1 Jan 2014


  • identity
  • matrices
  • resolvent
  • spectrum perturbation

ASJC Scopus subject areas

  • Algebra and Number Theory


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