Introduction to the Theory of Nonlinear Optimization - Softcover

Jahn, Johannes

Softcover

ISBN 10: 3030427625 ISBN 13: 9783030427627

Publisher: Springer, 2021

Synopsis

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.

About this title

About the Author

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.

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.

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030427625
• ISBN 13: 9783030427627
• Binding: Paperback
• Edition number: 4
• Number of pages: 336