Introduction to the theory of nonlinear optimization.

Jahn, Johannes:

ISBN 10: 3540583203 / ISBN 13: 9783540583202

Editore: Berlin, Springer,, 1994

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VIII, 249 S. Einband berieben. Sprache: Englisch Gewicht in Gramm: 550 25 x 17 cm, Pappband ohne Schutzumschlag. Codice articolo 39575

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Titolo: Introduction to the theory of nonlinear ...

Casa editrice: Berlin, Springer,

Data di pubblicazione: 1994

Legatura: Rilegato

Descrizione articolo

Riassunto:

This is an introductory text to optimization theory in normed spaces. It discusses existence results and various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, and the investigation of linear quadratic and time minimal control problems. Particular emphasis is placed on 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.

Recensione:

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)