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Introduction to the Theory of Nonlinear Optimization

Authors: Jahn, Johannes

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  • The extensively revised fourth edition of a standard work in its field
  • Covers important areas of nonlinear optimization with particular emphasis on their applications
  • Includes a new chapter on discrete-continuous optimization
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  • ISBN 978-3-030-42760-3
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  • ISBN 978-3-030-42759-7
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About this Textbook

This book offers an introduction to optimization theory in normed spaces. The topics covered include 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 an investigation of linear quadratic and time minimal control problems. The 4th edition of this book has been extensively revised and a new chapter on discrete-continuous optimization has been added. This textbook focuses on the fundamentals, with particular emphasis on their application to problems in the calculus of variations, approximation and optimal control theory. The reader is assumed to have a basic grasp of linear functional analysis.

About the authors

Johannes Jahn is professor emeritus at the Department of Mathematics of the University of Erlangen-Nürnberg (Germany). His research interests are theory and numerical methods in nonlinear optimization, vector optimization and set optimization. Johannes Jahn is the editor of the book series on "Vector Optimization" published with Springer.

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction and Problem Formulation

    Pages 1-7

    Jahn, Johannes

  • Existence Theorems for Minimal Points

    Pages 9-32

    Jahn, Johannes

  • Generalized Derivatives

    Pages 33-77

    Jahn, Johannes

  • Tangent Cones

    Pages 79-106

    Jahn, Johannes

  • Generalized Lagrange Multiplier Rule

    Pages 107-159

    Jahn, Johannes

Buy this book

eBook  
  • ISBN 978-3-030-42760-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover  
  • ISBN 978-3-030-42759-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to the Theory of Nonlinear Optimization
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-42760-3
DOI
10.1007/978-3-030-42760-3
Hardcover ISBN
978-3-030-42759-7
Edition Number
4
Number of Pages
X, 323
Number of Illustrations
51 b/w illustrations
Topics