Introduction to the theory of nonlinear optimization
著者
書誌事項
Introduction to the theory of nonlinear optimization
Springer, c2020
4th ed
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注記
Includes bibliographical references (p. 309-319) and index
内容説明・目次
内容説明
This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It 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.
目次
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.
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