Introduction to the Theory of Nonlinear Optimization

Johannes Jahn (Autor)

Buch | Softcover

X, 323 Seiten

2021 | 4th ed. 2020
Springer International Publishing (Verlag)
978-3-030-42762-7 (ISBN)

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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 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.

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.

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.

Erscheinungsdatum	04.07.2021
Zusatzinfo	X, 323 p. 51 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	516 g
Themenwelt	Wirtschaft ► Allgemeines / Lexika
Themenwelt	Wirtschaft ► Betriebswirtschaft / Management
Schlagworte	application to extended semidefinite optimization • Approximation Theory • Calculus of Variations • Control Theory • discrete-continuous optimization • Lagrange multiplier rule • linear optimization • Nonlinear Optimization • Optimality conditions • optimization theory • tangent cones
ISBN-10	3-030-42762-5 / 3030427625
ISBN-13	978-3-030-42762-7 / 9783030427627
Zustand	Neuware