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Introduction to the Theory of Nonlinear Optimization

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to the Theory of Nonlinear Optimization/ by Johannes Jahn.
作者:	Jahn, Johannes.
面頁冊數:	X, 323 p. 51 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Operations research. -
電子資源:	https://doi.org/10.1007/978-3-030-42760-3
ISBN:	9783030427603

Introduction to the Theory of Nonlinear Optimization
Jahn, Johannes.

Introduction to the Theory of Nonlinear Optimization[electronic resource] /by Johannes Jahn. - 4th ed. 2020. - X, 323 p. 51 illus.online resource.

Introduction and Problem Formulation -- Existence Theorems for Minimal Points -- Generalized Derivatives -- Tangent Cones -- Generalized Lagrange Multiplier Rule -- Duality -- Application to Extended Semidefinite Optimization -- Extension to Discrete-Continuous Problems -- Direct Treatment of Special Optimization Problems.

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.

ISBN: 9783030427603

Standard No.: 10.1007/978-3-030-42760-3doiSubjects--Topical Terms:

573517
Operations research.

LC Class. No.: HD30.23

Dewey Class. No.: 658.40301

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