Constrained Optimization and Image Space Analysis: Volume 1: Separation of Sets and Optimality Conditions / Edition 1

by Franco Giannessi

Overview

Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchers in a wealth of papers. Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light.

It presents a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems. Such an approach unifies the several branches: Optimality Conditions, Duality, Penalizations, Vector Problems, Variational Inequalities and Complementarity Problems. The applications benefit from a unified theory.

Product Details

ISBN-13:	9780387247700
Publisher:	Springer US
Publication date:	06/15/2005
Series:	Mathematical Concepts and Methods in Science and Engineering , #49
Edition description:	2005
Pages:	396
Product dimensions:	7.01(w) x 10.00(h) x 0.04(d)

Table of Contents

Elements of Convex Analysis and Separation.- to Image Space Analysis.- Alternative and Separation.- Optimality Conditions. Preliminary Results.

Editorial Reviews

From the reviews:

"This is a very substantial and useful monograph … . it would be an excellent reference in a course at the graduate level in engineering or the advanced undergraduate level in mathematics, as well as for working mathematicians interested in optimization. This book is of unusually fine quality … it will amply repay the time required. A notable feature of this work is the depth and completeness of coverage of many of the topics. … Another aspect … is the extensive use of examples." (Stephen M. Robinson, SIAM Review, Vol. 48 (2), 2006)

From the Publisher