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

✍ Scribed by Franco Giannessi (auth.)

• Publisher: Springer
• Year: 2005
• Tongue: English
• Leaves: 396
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Introduction....Pages 1-46
Elements of Convex Analysis and Separation....Pages 47-141
Introduction to Image Space Analysis....Pages 143-250
Alternative and Separation....Pages 251-306
Optimality Conditions. Preliminary Results....Pages 307-381

✦ Subjects

Mechanical Engineering