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Introduction to the Theory of Nonlinear Optimization

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 semidefi...

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Bibliographic Details
Main Author: Jahn, Johannes. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:3rd ed. 2007.
Subjects:
Calculus of variations.
Operations research.
Decision making.
Computational intelligence.
Calculus of Variations and Optimal Control; Optimization.
Operations Research/Decision Theory.
Computational Intelligence.
Online Access:https://doi.org/10.1007/978-3-540-49379-2
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Table of 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.

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