Perturbation Analysis of Optimization Problems

Perturbation Analysis of Optimization Problems

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Cod produs/ISBN: 9781461271291

Disponibilitate: Acest produs nu este momentan in stoc

Editura: Springer

Limba: Engleza

Nr. pagini: 624

Coperta: Paperback

Dimensiuni: 15.5 x 3.6 x 23.5 cm

An aparitie: 2000

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.
Springer
An aparitie 2000
Autor J. Frederic Bonnans , Alexander Shapiro
Dimensiuni 15.5 x 3.6 x 23.5 cm
Editura Springer
Format Paperback
ISBN 9781461271291
Limba Engleza
Nr pag 624

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