Introduction to the Theory of Nonlinear Optimization
3rd Edition
Published on 30. June 2007
X, 292 pages
978-3-540-49379-2 (ISBN)
Description
This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are 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 the investigation of linear quadratic and time minimal control problems. This textbook 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.
Reviews / Votes
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)
More details
Other editions
Additional editions
Johannes Jahn
Introduction to the Theory of Nonlinear Optimization
Book
01/2007
3rd Edition
Springer
€117.69
Article exhausted; check for reprint
Previous edition
Johannes Jahn
Introduction to the Theory of Nonlinear Optimization
E-Book
03/2013
2nd Edition
Springer
€85.59
Available for download
Content
and Problem Formulation.- Existence Theorems for Minimal Points.- Generalized Derivatives.- Tangent Cones.- Generalized Lagrange Multiplier Rule.- Duality.- Application to Extended Semidefinite Optimization.- Direct Treatment of Special Optimization Problems.
