- 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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- About this Textbook
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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
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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)
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Introduction and Problem Formulation
Pages 1-7
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Existence Theorems for Minimal Points
Pages 9-32
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Generalized Derivatives
Pages 33-77
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Tangent Cones
Pages 79-106
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Generalized Lagrange Multiplier Rule
Pages 107-159
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Table of contents (9 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Introduction to the Theory of Nonlinear Optimization
- Authors
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- Johannes Jahn
- 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
