One-Parametric Linear-Quadratic Optimization Problems

P. Jonker, G. Still and F. Twilt

Annals of Operations Research, 2001, vol. 101, issue 1, 253 pages

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 R n ) five types are to be distinguished. We clarify the theoretical background of these phenomena and illustrate the underlying mechanism with simple examples. Copyright Kluwer Academic Publishers 2001

Keywords: one-parametric quadratic optimization problems; (generalized) critical points; Whitney regular stratification (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1010980727655

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