Introduction to the Theory of Nonlinear Optimization

Johannes Jahn

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Hardback

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English

Springer Nature Switzerland AG
03 July 2020

Operational research; Optimisation; Artificial intelligence

This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It 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.

By: Johannes Jahn
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 4th ed. 2020
Dimensions: Height: 235mm, Width: 155mm,
Weight: 670g
ISBN: 9783030427597
ISBN 10: 3030427595
Pages: 323
Publication Date: 03 July 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction and Problem Formulation.- Existence Theorems for Minimal Points.- Generalized Derivatives.- Tangent Cones.- Generalized Lagrange Multiplier Rule.- Duality.- Application to Extended Semidefinite Optimization.- Extension to Discrete-Continuous Problems.- Direct Treatment of Special Optimization Problems.

"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."