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Optimization and Control with Applications

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Cover of 'Optimization and Control with Applications'

Table of Contents

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    Book Overview
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    Chapter 1 On Minimization of Max-Min Functions
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    Chapter 2 A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions
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    Chapter 3 Duality and Exact Penalization via a Generalized Augmented Lagrangian Function
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    Chapter 4 Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints
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    Chapter 5 The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations
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    Chapter 6 Some Classes of Abstract Convex Functions
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    Chapter 7 An Implementation of Training Dual-nu Support Vector Machines
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    Chapter 8 An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations
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    Chapter 9 An Exchange Algorithm for Minimizing Sum-Min Functions
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    Chapter 10 On the Barzilai-Borwein Method
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    Chapter 11 The Modified Subgraident Method for Equality Constrained Nonconvex Optimization Problems
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    Chapter 12 Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives
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    Chapter 13 Quantum Algorithm for Continuous Global Optimization
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    Chapter 14 SQP versus SCP Methods for Nonlinear Programming
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    Chapter 15 An Approximation Approach for Linear Programming in Measure Space
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    Chapter 16 Optimal Control of Nonlinear Systems
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    Chapter 17 Proximal-Like Methods for Convex Minimization Problems
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    Chapter 18 Analysis of Two Dimensional Nonconvex Variational Problems
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    Chapter 19 Stability of Equilibrium Points of Projected Dynamical Systems
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    Chapter 20 On a Quasi-Consistent Approximations Approach to Optimization Problems with Two Numerical Precision Parameters
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    Chapter 21 Numerical Solutions of Optimal Switching Control Problems
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    Chapter 22 A Solution to Hamilton-Jacobi Equation by Neural Networks and Optimal State Feedback Control
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    Chapter 23 H ∞ Control Based on State Observer for Descriptor Systems
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    Chapter 24 Decomposable Generalized Vector Variational Inequalities
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    Chapter 25 On a Geometric Lemma and Set-Valued Vector Equilibrium Problem
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    Chapter 26 Equilibrium Problems
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    Chapter 27 Gap Functions and Descent Methods for Minty Variational Inequality
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    Chapter 28 A New Class of Proximal Algorithms for the Nonlinear Complementarity Problem
Attention for Chapter 5: The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations
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Chapter title
The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations
Chapter number 5
Book title
Optimization and Control with Applications
Published by
Springer, Boston, MA, January 2005
DOI 10.1007/0-387-24255-4_5
Book ISBNs
978-0-387-24254-5, 978-0-387-24255-2
Authors

Jean-Paul Penot