Introduction to the Theory of Nonlinear Optimization
4th Edition
Published on 2. July 2020
X, 323 pages
978-3-030-42760-3 (ISBN)
Description
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 4
th
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.
More details
Series
Edition
Fourth Edition 2020
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Product notice
Reflowable
Illustrations
X, 323 p. 51 illus.
File size
4,84 MB
ISBN-13
978-3-030-42760-3 (9783030427603)
DOI
10.1007/978-3-030-42760-3
Schweitzer Classification
Other editions
Additional editions
Johannes Jahn
Introduction to the Theory of Nonlinear Optimization
Book
07/2020
4th Edition
Springer
€139.09
Shipment within 7-9 days
Person
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.
Content
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.
