Johannes Jahn

Introduction to the Theory of Nonlinear Optimization

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-42759-7
• 4. Aufl.
• Seitenzahl: 336
• Erscheinungstermin: 3. Juli 2020
• Englisch
• Abmessung: 241mm x 160mm x 24mm
• Gewicht: 650g
• ISBN-13: 9783030427597
• ISBN-10: 3030427595
• Artikelnr.: 58597784

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

From the reviews of the third edition:

"Jahn's textbook provides a thorough development of optimality conditions for optimization problems on function spaces. ... The book will be of interest to suitably prepared graduate students and researchers who are working on problems in optimal control theory. It may also be of interest to analysts who want to learn something about how functional analysis is used in the theory of optimization." (Brain Borchers, MathDL, April, 2007)

"The third edition of this book has eight chapters ... . The book is written in a lucid style. It may be very useful to lecturers, students, and researchers." (Stanislaw Walczak, Zentralblatt MATH, Vol. 1115 (17), 2007)