Introduction to the Theory of Nonlinear Optimization

Johannes Jahn

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English

Springer Nature Switzerland AG
03 July 2021

Management decision making; Operational research; Optimisation; Artificial intelligence

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.

By: Johannes Jahn
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 4th ed. 2020
Dimensions: Height: 235mm, Width: 155mm,
Weight: 516g
ISBN: 9783030427627
ISBN 10: 3030427625
Pages: 323
Publication Date: 03 July 2021
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

"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."