Introduction to the Theory of Nonlinear Optimization

Author:   Johannes Jahn
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   3rd ed. 2007
ISBN:  

9783642426575


Pages:   292
Publication Date:   06 December 2014
Replaced By:   9783030427597
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Introduction to the Theory of Nonlinear Optimization


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Overview

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.

Full Product Details

Author:   Johannes Jahn
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   3rd ed. 2007
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.468kg
ISBN:  

9783642426575


ISBN 10:   3642426573
Pages:   292
Publication Date:   06 December 2014
Audience:   College/higher education ,  Undergraduate
Replaced By:   9783030427597
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

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)


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)


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)


"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)"


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)


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