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Introduction to the Theory of Nonlinear Optimization
This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, extended semidefi...
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Introduction to the Theory of Nonlinear Optimization / Johannes Jahn. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2007 Cham : Springer Nature |
| Accès en ligne : |
Accès Nantes Université
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| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Sujets : | |
| Documents associés : | Autre format:
Introduction to the theory of nonlinear optimization Autre format: Introduction to the Theory of Nonlinear Optimization Autre format: Introduction to the Theory of Nonlinear Optimization |
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| 330 | |a This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are 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 the investigation of linear quadratic and time minimal control problems. This textbook 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. | ||
| 359 | 1 | |a 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. | |
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| 452 | | | |0 114251088 |t Introduction to the theory of nonlinear optimization |f Johannes Jahn |e third edition |c Berlin |n Springer |d 2007 |p 1 vol. (X- 292 p.) |y 978-3-540-49378-5 | |
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