Overview
- A peerless monograph, presenting a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems
- Applications are seen for the first time in the light of a unified theory
- An excellent reference for researchers in Analysis, Applied Mathematics, Mathematical Physics and many other applied branches
Part of the book series: Mathematical Concepts and Methods in Science and Engineering (MCSENG, volume 49)
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Table of contents (5 chapters)
Keywords
About this book
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.
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)
Authors and Affiliations
Bibliographic Information
Book Title: Constrained Optimization and Image Space Analysis
Book Subtitle: Volume 1: Separation of Sets and Optimality Conditions
Authors: Franco Giannessi
Series Title: Mathematical Concepts and Methods in Science and Engineering
DOI: https://doi.org/10.1007/0-387-28020-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2005
Hardcover ISBN: 978-0-387-24770-0Published: 15 June 2005
Softcover ISBN: 978-1-4419-3759-9Published: 10 November 2010
eBook ISBN: 978-0-387-28020-2Published: 27 October 2006
Edition Number: 1
Number of Pages: XII, 396
Topics: Applications of Mathematics, Optimization, Combinatorics, Analysis, Mechanical Engineering