Introduction to the Theory of Nonlinear Optimization
By: by Johannes Jahn
Edition: Second Revised Edition.
Publisher: Springer Berlin Heidelberg
Published: 1996
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 259
ISBN-13: 9783662032732; 9783662032718
Subjects: Mathematics; Mathematical optimization; Engineering; Operations research
Description: 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.
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Table of contents: title: Contents: Introduction and Problem Formulation; title: Existence Theorem for Minimal Points; title: Generalized Derivatives; title: Tangent Cones; title: Generalized Lagrange Multiplier Rule; title: Duality; title: Direct Treatment of Special Optimization Problems; title: Appendices: Weak Convergence; title: Reflexitivity of Banach Spaces; title: Hahn-Banach Theorem; title: Partially Ordered Linear Spaces.