Introduction to the Theory of Nonlinear Optimization

Johannes Jahn

ISBN 10: 3030427595 / ISBN 13: 9783030427597

Published by Springer International Publishing, 2020

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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. The4thedition 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.

Seller Inventory # 9783030427597

Bibliographic Details

• Title: Introduction to the Theory of Nonlinear Optimization
• Publisher: Springer International Publishing
• Publication Date: 2020
• Language: English
• ISBN 10: 3030427595
• ISBN 13: 9783030427597
• Binding: Buch
• Edition: 4th Edition
• Condition: Neu

About this title

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 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.