Introduction to the Theory of Nonlinear Optimization
General Material Designation
[Book]
First Statement of Responsibility
by Johannes Jahn.
EDITION STATEMENT
Edition Statement
Second rev. edition
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg
Date of Publication, Distribution, etc.
1996
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(viii, 259 pages)
CONTENTS NOTE
Text of Note
Introduction and Problem Formulation --; Existence Theorem for Minimal Points --; Generalized Derivatives --; Tangent Cones --; Generalized Lagrange Multiplier Rule --; Duality --; Direct Treatment of Special Optimization Problems --; Appendices: Weak Convergence --; Reflexitivity of Banach Spaces --; Hahn-Banach Theorem --; Partially Ordered Linear Spaces.
SUMMARY OR ABSTRACT
Text of Note
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, 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. The book contains examples and several exercises.