One-parameter families of optimization problems: equality constraints

H.Th. Jongen, P. Jonker, F. Twilt

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    Abstract

    In this paper, we introduce generalized critical points and discuss their relationship with other concepts of critical points [resp., stationary points]. Generalized critical points play an important role in parametric optimization. Under generic regularity conditions, we study the set of generalized critical points, in particular, the change of the Morse index. We focus our attention on problems with equality constraints only and provide an indication of how the present theory can be extended to problems with inequality constraints as well.
    Original languageUndefined
    Pages (from-to)141-161
    JournalJournal of optimization theory and applications
    Volume48
    Issue number1
    DOIs
    Publication statusPublished - 1988

    Keywords

    • critical points
    • Parametric Optimization
    • Quadratic Index
    • Linear Index
    • Morse index
    • (generalized) critical points
    • IR-85873

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