ENGLISH

Introduction to the Theory of Nonlinear Optimization

By Johannes Jahn

Book information

Publisher
Springer International Publishing;Springer
Year
2020
ISBN
9783030427597, 9783030427603
DOI
10.1007/978-3-030-42760-3
Language
english
Format
PDF
Filesize
5 MB (4887813 bytes)
Edition
4th ed.
Pages
X, 323\325
Time added
2021-01-06 05:41:07
Business and Management; Operations Research/Decis

Description

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 4th 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.

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