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1984 | OriginalPaper | Buchkapitel

Singularities in Optimization Problems, the Maxima Function

verfasst von : Vladimir Igorevich Arnold

Erschienen in: Catastrophe Theory

Verlag: Springer Berlin Heidelberg

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Many singularities, bifurcations, and catastrophes (jumps) arise in all maxima and minima problems ; such problem arise, for instance, in optimization, control theory and decision theory. For instance, suppose we have to find x such that the value of a function f (x ) is maximal (Fig. 46). On smooth change of the function the optimum solution changes with a jump, transferring from one competing maxima (A) to the other (B).

Metadaten
Titel
Singularities in Optimization Problems, the Maxima Function
verfasst von
Vladimir Igorevich Arnold
Copyright-Jahr
1984
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-96799-3_10