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2010, ISBN: 9048149819

[EAN: 9789048149810], Neubuch, [SC: 0.0], [PU: Springer Netherlands], EULER-LAGRANGEEQUATION; OPTIMALCONTROL; FUNCTIONALANALYSIS; LINEAROPTIMIZATION; NONLINEAROPTIMIZATION; OPTIMIZATION, … Meer...

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Alexey Abramov:

Connectedness and Necessary Conditions for an Extremum - pocketboek

ISBN: 9048149819

[EAN: 9789048149810], Neubuch, [SC: 0.0], [PU: Springer Netherlands], EULER-LAGRANGE EQUATION; OPTIMAL CONTROL; FUNCTIONAL ANALYSIS; LINEAR OPTIMIZATION; NONLINEAR OPTIMIZATION, Druck auf… Meer...

NEW BOOK. Verzendingskosten:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Abramov, A. P.:
Connectedness and Necessary Conditions for an Extremum - pocketboek

2010

ISBN: 9789048149810

[ED: Softcover], [PU: Springer Netherlands], The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditi… Meer...

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Connectedness and Necessary Conditions for an Extremum (Mathematics and Its Applications (431), Band 431) - Abramov, Alexander P.
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Connectedness and Necessary Conditions for an Extremum (Mathematics and Its Applications (431), Band 431) - pocketboek

2009, ISBN: 9789048149810

Springer Netherlands, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1998, 216 Seiten, Publiziert: 2009-12-28T00:00:01Z, Produktgruppe: Book, Recht, Kategorien, Bücher, Wirt… Meer...

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Alexey Abramov:
Connectedness and Necessary Conditions for an Extremum - pocketboek

ISBN: 9789048149810

Paperback, [PU: Springer], The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremu… Meer...

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Connectedness and Necessary Conditions for an Extremum (Mathematics and Its Applications (431), Band 431)

This monograph is the first book in the study of necessary conditions of an extremum in which topological connectedness plays a major role. Many new and original results are presented here. The synthesis of the well-known Dybrovitskii-Milyutin approach, based on functional analysis, and topological methods permits the derivation of the so-called alternative conditions of an extremum: if the Euler equation has the trivial solution only at an extreme point, then some inclusion is valid for the functionals belonging to the dual space. Also, the present approach gives a transparent answer to the question why the Kuhn-Tucker theorem establishes the restrictions on the signs of the Lagrange multipliers for the inequality constraints but why this theorem does not establish any analogous restrictions on the multipliers for the equality constraints. Examples from mathematical economics illustrate the alternative conditions of any extremum. Parallels are drawn between these examples and the problems of static equilibrium in classical mechanics. Audience: This volume will be of use to mathematicians and graduate students interested in the areas of optimization, optimal control and mathematical economics.

Gedetalleerde informatie over het boek. - Connectedness and Necessary Conditions for an Extremum (Mathematics and Its Applications (431), Band 431)


EAN (ISBN-13): 9789048149810
ISBN (ISBN-10): 9048149819
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer Netherlands
216 Bladzijden
Gewicht: 0,334 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-06-08T05:01:25+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-12-23T19:57:02+01:00 (Amsterdam)
ISBN/EAN: 9789048149810

ISBN - alternatieve schrijfwijzen:
90-481-4981-9, 978-90-481-4981-0


Gegevens van de uitgever

Auteur: Alexey Abramov
Titel: Mathematics and Its Applications; Connectedness and Necessary Conditions for an Extremum
Uitgeverij: Springer; Springer Netherland
204 Bladzijden
Verschijningsjaar: 2010-12-08
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,454 kg
Taal: Engels
117,69 € (DE)
120,99 € (AT)
130,00 CHF (CH)
POD
XII, 204 p.

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Sonstiges; Optimierung; Verstehen; Euler–Lagrange equation; Optimal control; functional analysis; linear optimization; nonlinear optimization; optimization; B; Optimization; Calculus of Variations and Optimal Control; Optimization; Economic Theory/Quantitative Economics/Mathematical Methods; Convex and Discrete Geometry; Topology; Optimization; Calculus of Variations and Optimization; Quantitative Economics; Convex and Discrete Geometry; Topology; Mathematics and Statistics; Optimierung; Wirtschaftstheorie und -philosophie; Geometrie; Diskrete Mathematik; Topologie; BB

0. Preliminaries. 1. Alternative conditions for an extremum of the first order. 2. Alternative conditions for an extremum in nonlinear programming. 3. Alternative conditions for an extremum in optimal control problems. 4. Necessary conditions for an extremum in a measure space. Bibliography. List of Notation. Index.

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Laatste soortgelijke boek:
9789401591195 Connectedness and Necessary Conditions for an Extremum (Alexey Abramov)


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