A backward error for the inverse singular value problem

  • Authors:

  • Xiao Shan Chen

  • Affiliations:

  • School of Mathematics, South China Normal University, Guangzhou 510631, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

Quantified Score

Hi-index 7.29

Visualization

Abstract

A backward error for inverse singular value problems with respect to an approximate solution is defined, and an explicit expression for the backward error is derived by extending the approach described in [J.G. Sun, Backward errors for the inverse eigenvalue problem, Numer. Math. 82 (1999) 339-349]. The expression may be useful for testing the stability of practical algorithms.