Introduction to the Theory of Nonlinear Optimization

  • Johannes Jahn

Table of contents

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

  • Johannes Jahn
    • 1
  1. 1.Institut für Angewandte MathematikUniversität Erlangen-NürnbergErlangenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-49379-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-49378-5
  • Online ISBN 978-3-540-49379-2
  • About this book