Optimization and Control with Applications [electronic resource] / edited by Liqun Qi, Koklay Teo, Xiaoqi Yang.

Contributor(s): Qi, Liqun [editor.] | Teo, Koklay [editor.] | Yang, Xiaoqi [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Applied Optimization: 96Publisher: Boston, MA : Springer US, 2005Description: XLVI, 562 p. 34 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387242552Subject(s): Mathematics | Mathematical optimization | Mathematics | OptimizationAdditional physical formats: Printed edition:: No titleDDC classification: 519.6 LOC classification: QA402.5-402.6Online resources: Click here to access online
Contents:
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 Barzilai-Borwein Method -- The Modified Subgraident 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? Control Based on State Observer for Descriptor Systems -- Variational Inequality and Equilibrium Problems -- 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 Complementarity Problem.
In: Springer eBooksSummary: 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. Audience This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control.
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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 Barzilai-Borwein Method -- The Modified Subgraident 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? Control Based on State Observer for Descriptor Systems -- Variational Inequality and Equilibrium Problems -- 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 Complementarity Problem.

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. Audience This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control.

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