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Normal Forms in One-Parametric Optimization

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Abstract

We deal with one-parametric families of optimization problems in finite dimension with a finite number of (in-)equality constraints. Its set of generalized critical points can be classified according to five types (cf. ). In this paper the corresponding normal forms of the problem near each of these five types of singular points are presented.

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Authors and Affiliations

  1. Department of Mathematics, Vladimir State University, 600026, Vladimir, Russia

    A.A. Davydov

  2. Department of Mathematics (C), Aachen University of Technology, D-52056, Aachen, Germany

    H.Th. Jongen

Authors
  1. A.A. Davydov
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  2. H.Th. Jongen
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Davydov, A., Jongen, H. Normal Forms in One-Parametric Optimization. Annals of Operations Research 101, 255–265 (2001). https://doi.org/10.1023/A:1010941111726

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  • DOI: https://doi.org/10.1023/A:1010941111726

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