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Constrained Optimization and Image Space Analysis: Volume 1: Separation of Sets and Optimality Conditions: 49 2005th Edition
Author(s): Franco Giannessi (Author)
- Publisher: Springer
- Publication Date: 15 Jun. 2005
- Edition: 2005th
- Language: English
- Print length: 408 pages
- ISBN-10: 038724770X
- ISBN-13: 9780387247700
Book Description
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.
Editorial Reviews
Review
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)
