| Perturbation Analysis of Optimization Problems Softcover Repri Edition Contributor(s): Bonnans, J. Frederic (Author), Shapiro, Alexander (Author) |
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ISBN: 1461271290 ISBN-13: 9781461271291 Publisher: Springer OUR PRICE: $237.49 Product Type: Paperback - Other Formats Published: November 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Science | System Theory - Mathematics | Optimization |
| Dewey: 515.64 |
| Series: Springer Series in Operations Research and Financial Enginee |
| Physical Information: 1.26" H x 6.14" W x 9.21" (1.90 lbs) 601 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |