Residual bounds for some or all singular values

M. Lange*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


For a given real or complex matrix we derive perturbation bounds for some or all singular values. The bounds are of the same quality as corresponding residual bounds for the Hermitian eigenvalue problem. They are suitable for numerical computation.

Original languageEnglish
Pages (from-to)28-37
Number of pages10
JournalLinear Algebra and Its Applications
Publication statusPublished - 2015 Jan 1
Externally publishedYes


  • Eigenvalues
  • Perturbationbounds
  • Residualbounds
  • Singularvalues

ASJC Scopus subject areas

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


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