非線形最適化理論入門（第３版） Introduction to the Theory of Nonlinear Optimization （3RD）

Jahn, Johannes

Springer（2007/01発売）

• 製本 Hardcover:ハードカバー版／ページ数 292 p.／サイズ 31 illus.
• 商品コード 9783540493785

基本説明

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, and more.

Full Description

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.

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.