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Variational analysis

In mathematics, variational analysis is the combination and extension of methods from convex optimization and the classical calculus of variations to a more general theory. This includes the more general problems of optimization theory, including topics in set-valued analysis, e.g. generalized derivatives.

History, Generalized derivatives & Existence of minima

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Overview

History

Existence of minima

Generalized derivatives

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Variational analysis

Nodes25
Edges24
Triples37
Avg. degree1.92
Density0.08
Components1

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Variational analysis

Top relations

related to References · 22
Variational analysis → Berlin New York, Business Media, Convex, Grundlehren, ISBN, Ivar, Jonathan, June, OCLC, Qiji, Rockafellar, Roger, SIAM, Springer, Springer Science, Te, Techniques, Tyrrell, Vol, Wets
related to External links · 4
Variational analysis → Media, Variational, Wikimedia Commons, Wiktionary-logo-en-v2
related to history · 4
Variational analysis → Roger J-B Wets, Tyrrell Rockafellar, Variational, While
related to Existence of minima · 3
Variational analysis → Borwein-Press, Ekeland's, Results
is a · 1
Variational analysis → combination and extension of methods from convex optimization and the classical calculus of variations to a more general theory

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Important terminology

analysis variational mathematics classical optimization functions convex generalized derivatives function problems general theory set-valued derivative roger result results subject history

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Variational analysisis acombination and extension of methods from convex optimization and the classical calculus of variations to a more general theory0.90text
Ekeland's variational principle allow us to extend this result of lower semicontinuous functions on non-compact sets provided that the function has a lower boundinstance ofResults from variational analysis0.80text
at the cost of adding a small perturbation to the functioninstance ofResults from variational analysis0.80text
the Clarke generalized gradient allow the results to be extended to nonsmooth locally Lipschitz functionsinstance ofFurther generalization of the notion of the derivative0.80text
Variational analysisrelated to Existence of minimaResults0.60section
Variational analysisrelated to Existence of minimaEkeland's0.60section
Variational analysisrelated to Existence of minimaBorwein-Press0.60section
Variational analysisrelated to External linksWiktionary-logo-en-v20.60section
Variational analysisrelated to External linksMedia0.60section
Variational analysisrelated to External linksVariational0.60section
Variational analysisrelated to External linksWikimedia Commons0.60section
Variational analysisrelated to historyWhile0.60section

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