Constrained Optimization and Image Space Analysis
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.
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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)
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