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© 2007

Introduction to the Theory of Nonlinear Optimization

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About this book

Introduction

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.

Keywords

Calculus of Variations Control Theory Optimality Conditions Optimization Optimization Theory Vector Optimization linear optimization nonlinear optimization

Authors and affiliations

  1. 1.Institut für Angewandte MathematikUniversität Erlangen-NürnbergErlangenGermany

Bibliographic information

Reviews

From the reviews of the third edition:

"Jahn’s textbook provides a thorough development of optimality conditions for optimization problems on function spaces. … The book will be of interest to suitably prepared graduate students and researchers who are working on problems in optimal control theory. It may also be of interest to analysts who want to learn something about how functional analysis is used in the theory of optimization." (Brain Borchers, MathDL, April, 2007)

"The third edition of this book has eight chapters … . The book is written in a lucid style. It may be very useful to lecturers, students, and researchers." (Stanislaw Walczak, Zentralblatt MATH, Vol. 1115 (17), 2007)