Perturbation Analysis of Optimization Problems (Springer Series in Operations Research and Financial Engineering) - Softcover

Bonnans, J.Frederic Frederic; Shapiro, Alexander

9781461271291: Perturbation Analysis of Optimization Problems (Springer Series in Operations Research and Financial Engineering)

Softcover

ISBN 10: 1461271290 ISBN 13: 9781461271291

Verlag: Springer, 2013

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This is a research-level book in optimization. The results herein can be applied to various fields, from physics to economics. A nice feature is its great number of examples, which help the reader to understand the meaning of various statements and assumptions. It will be very useful not only to research professionals in the field of optimization, nonlinear programming and optimal control, but also to users of optimization in mechanics, physics, statistics, finance and economics.

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A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.

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VerlagSpringer
Erscheinungsdatum2013
ISBN 10 1461271290
ISBN 13 9781461271291
EinbandTapa blanda
SpracheEnglisch
Anzahl der Seiten624
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Perturbation Analysis of Optimization Problems

Alexander Shapiro

Verlag: Springer New York, Springer US, 2013

ISBN 10: 1461271290 ISBN 13: 9781461271291

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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The main subject of this book is perturbation analysis of continuous optimization problems. In the last two decades considerable progress has been made in that area, and it seems that it is time now to present a synthetic view of many important results that apply to various classes of problems. The model problem that is considered throughout the book is of the form (P) Min/(x) subjectto G(x) E K. xeX Here X and Y are Banach spaces, K is a closed convex subset of Y, and / : X -+ IR and G : X -+ Y are called the objective function and the constraint mapping, respectively. We also consider a parameteriZed version (P ) of the above u problem, where the objective function / (x, u) and the constraint mapping G(x, u) are parameterized by a vector u varying in a Banach space U. Our aim is to study continuity and differentiability properties of the optimal value v(u) and the set S(u) of optimal solutions of (P ) viewed as functions of the parameter vector u. Artikel-Nr. 9781461271291

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