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＜電子ブック＞
Introduction to the Theory of Nonlinear Optimization / by Johannes Jahn

版	3rd ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
大きさ	X, 292 p : online resource
著者標目	*Jahn, Johannes author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Operations research LCSH:Computational intelligence FREE:Calculus of Variations and Optimization FREE:Operations Research and Decision Theory FREE:Computational Intelligence
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-540-49379-2

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