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Introduction to the Theory of Nonlinear Optimization [electronic resource] /by Johannes Jahn.

by Jahn, Johannes [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Edition: Third Edition.Description: X, 292 p. 31 illus. online resource.ISBN: 9783540493792.Subject(s): Mathematics | Mathematical optimization | Mathematics | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Numerical and Computational Methods in EngineeringDDC classification: 515.64 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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