Introduction to the Theory of Nonlinear Optimization - Johannes Jahn

This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, extended semidefinite optimization, and the investigation of linear quadratic and time minimal control problems. This textbook presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis. TOC:Introduction and Problem Formulation.- Existence Theorems for Minimal Points.- Generalized Derivatives.- Tangent Cones.- Generalized Lagrange Multiplier Rule.- Duality.- Application to Extended Semidefinite Optimization.- Direct Treatment of Special Optimization Problems.- Weak Convergence.- Reflexivity of Banach Spaces.- Hahn-Banach Theorem.- Partially Ordered Linear Spaces.

Tytuł: Introduction to the Theory of Nonlinear Optimization
Autor:

Johannes Jahn

Data wydania: styczeń 2007
Wydawca: Springer-Verlag GmbH
ISBN: 3540493786
EAN: 9783540493785
Wymiary: 244 x 164 x 25