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AuthorJahn, Johannes. author
TitleIntroduction to the Theory of Nonlinear Optimization [electronic resource] / by Johannes Jahn
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
Connect tohttp://dx.doi.org/10.1007/978-3-662-02985-5
Descript VIII, 251 p. online resource

CONTENT

Contents: Introduction and Problem Formulation -- Existence Theorems for Minimal Points: Problem Formulation -- Existence Theorems -- Set of Minimal Points -- Application to Approximation Problems -- Application to Optimal Control Problems -- Generalized Derivatives: Directional Derivative -- Gรขteaux and Frรฉchet Derivatives -- Subdifferential -- Quasidifferential -- Clarke Derivative -- Tangent Cones: Definition and Properties -- Optimality Conditions -- A Lyusternik Theorem -- Generalized Lagrange Multiplier Rule: Problem Formulation -- Necessary Optimality Conditions -- Sufficient Optimality Conditions -- Application to Optimal Control Problems -- Duality: Problem Formulation -- Duality Theorems -- Saddle Point Theorems -- Linear Problems -- Application to Approximation Problems -- Direct Treatment of Special Optimization Problems: Linear Quadratic Optimal Control Problems -- Time Minimal Control Problems -- Appendices: Weak Convergence -- Reflexity of Banach Spaces -- Hahn-Banach Theorem -- Partially Ordered Linear Spaces


Mathematics Operations research Decision making System theory Calculus of variations Applied mathematics Engineering mathematics Mathematics Systems Theory Control Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Appl.Mathematics/Computational Methods of Engineering



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