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

Bonnans, J.Frederic; Shapiro, Alexander

 
9780387987057: Perturbation Analysis of Optimization Problems (Springer Series in Operations Research and Financial Engineering)
Hardcover
ISBN 10: 0387987053 ISBN 13: 9780387987057
Verlag: Springer, 2000

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
0387987053
ISBN 13 
9780387987057
Einband
Gebundene Ausgabe
Anzahl der Seiten
619
Kontakt zum Hersteller
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Hamburg
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Deutschland

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

Vorgestellte Ausgabe

ISBN 10:  1461271290 ISBN 13:  9781461271291
Verlag: Springer, 2013
Softcover