Optimization and Control with Applications

By: Liqun Qi (Editor), Kok Lay Teo (Editor), Xiao Qi Yang (Editor)

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Hardcover | 13 April 2005

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608 Pages

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24.13 x 15.88 x 3.18

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This book contains refereed papers which were presented at the 34th Workshop of the International School of Mathematics "G. Stampacchia," the International Workshop on Optimization and Control with Applications. The book contains 28 papers that are grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. The specific topics covered in the individual chapters include optimal control, unconstrained and constrained optimization, complementarity and variational inequalities, equilibrium problems, semi-definite programs, semi-infinite programs, matrix functions and equations, nonsmooth optimization, generalized convexity and generalized monotinicity, and their applications.
This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control.

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Non-Fiction Mathematics Optimisation Linear Programming Probability & Statistics Applied Mathematics

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Published: 22nd October 2010

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Biographical Sketch of Elijah Polak
Publications of Elijah Polak
Duality and Optimality Conditions
On Minimization of Max-Min Functions
A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions
Duality and Exact Penalization via a Generalized Augmented Lagrangian Function
Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints
The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations
Some Classes of Abstract Convex Functions
Optimization Algorithms
An Implementation of Training Dual-nu Support Vector Machines
An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations
An Exchange Algorithm for Minimizing Sum-Min Functions
On the Barzlai-Borwein Method
The Modified Subgradient Method for Equality Constrained Nonconvex Optimization Problems
Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives
Quantum Algorithm for Continuous Global Optimization
SQP Versus SCP Methods for Nonlinear Programming
An Approximation Approach for Linear Programming in Measure Space
Optimal Control
Optimal Control of Nonlinear Systems
Proximal-Like Methods for Convex Minimization Problems
Analysis of Two Dimensional Nonconvex Variational Problems
Stability of Equilibrium Points of Projected Dynamical Systems
On a Quasi-Consistent Approximations Approach to Optimization Problems with Two Numerical Precision Parameters
Numerical Solutions of Optimal Switching Control Problems
A Solution to Hamilton-Jacobi Equation by Neural Networks and Optimal State Feedback Control
H(infinity) Control Based on State Observer for Descriptor Systems
Variational Inequality and Equilibrium
Decomposable Generalized Vector Variational Inequalities
On a Geometric Lemma and Set-Valued Vector Equilibrium Problem
Equilibrium Problems
Gap Functions and Descent Methods for Minty Variational Inequality
A New Class of Proximal Algorithms for the Nonlinear Complementary Problem
Table of Contents provided by Publisher. All Rights Reserved.

Optimization and Control with Applications

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