One-parametric linear-quadratic optimization problems

P. Jonker, Georg J. Still, F. Twilt

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
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Abstract

We consider families of optimization problems with quadratic object function and affine linear constraints, which depend smoothly on one real parameter. For a generic subclass of such problems only three different types of (generalized) critical points occur, whereas in the general case (of nonlinear one-parameter families of constrained optimization problems on Rn) five types are to be distinguished. We clarify the theoretical background of these phenomena and illustrate the underlying mechanism with simple examples.
Original languageEnglish
Pages (from-to)221-253
Number of pages33
JournalAnnals of operations research
Volume101
Issue number1-4
DOIs
Publication statusPublished - 2001

Keywords

  • METIS-201956
  • Whitney regular stratification
  • One-parametric quadratic optimization problems
  • (generalized) critical points
  • IR-85876

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