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

Author:   Franco Giannessi
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   49
ISBN:  

9781441937599


Pages:   396
Publication Date:   10 November 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Constrained Optimization and Image Space Analysis: Volume 1: Separation of Sets and Optimality Conditions


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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.

Full Product Details

Author:   Franco Giannessi
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   49
Dimensions:   Width: 16.50cm , Height: 2.10cm , Length: 24.80cm
Weight:   0.703kg
ISBN:  

9781441937599


ISBN 10:   1441937595
Pages:   396
Publication Date:   10 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

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 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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