Error Bounds for Eigenvalue and Semidefinite Matrix Inequality Systems

  • Authors:

  • A. Jourani;J. J. Ye

  • Affiliations:

  • Département de Mathématiques, Analyse Appliquée et Optimisation, BP 47 870, 21078, Dijon Cedex, France;Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, STN CSC, V8W 3P4, Victoria, BC, Canada

  • Venue:
  • Mathematical Programming: Series A and B
  • Year:
  • 2005

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Abstract

In this paper we give sufficient conditions for existence of error bounds for systems expressed in terms of eigenvalue functions (such as in eigenvalue optimization) or positive semidefiniteness (such as in semidefinite programming).