Giannessi, Franco.

Constrained Optimization and Image Space Analysis Volume 1: Separation of Sets and Optimality Conditions / [recurso electrónico] : by Franco Giannessi. - XII, 395 p. online resource. - Mathematical Concepts and Methods in Science and Engineering ; 49 . - Mathematical Concepts and Methods in Science and Engineering ; 49 .

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

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.

9780387280202 99780387280202

10.1007/0-387-28020-0 doi


MATHEMATICS.
GLOBAL ANALYSIS (MATHEMATICS).
COMBINATORICS.
MATHEMATICAL OPTIMIZATION.
MECHANICAL ENGINEERING.
MATHEMATICS.
APPLICATIONS OF MATHEMATICS.
OPTIMIZATION.
COMBINATORICS.
ANALYSIS.
MECHANICAL ENGINEERING.

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