Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Author:   M. Fukushima ,  Liqun Qi
Publisher:   Springer
Volume:   22
ISBN:  

9780792353201


Pages:   444
Publication Date:   30 November 1998
Format:   Hardback
Availability:   In Print   Availability explained
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Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods


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Overview

This volume is a collection of papers that cover such diverse areas as linear and non-linear complementarity problems, variational inequality problems, non-smooth equations and non-smooth optimization problems, economic and network equilibrium problems, semi-definite programming problems, maximal monotone operator problems, and mathematical programs with equilibrium constraints. It provides useful tools for advancing the study of mathematical programming from both theoretical and practical aspects. The book is intended for students and researchers in optimization, mathematical programming, and operations research.

Full Product Details

Author:   M. Fukushima ,  Liqun Qi
Publisher:   Springer
Imprint:   Springer
Volume:   22
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   1.790kg
ISBN:  

9780792353201


ISBN 10:   079235320
Pages:   444
Publication Date:   30 November 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Solving Complementarity Problems by Means of a New Smooth Constrained Nonlinear Solver.- ?-Enlargements of Maximal Monotone Operators: Theory and Applications.- A Non-Interior Predictor-Corrector Path-Following Method for LCP.- Smoothing Newton Methods for Nonsmooth Dirichlet Problems.- Frictional Contact Algorithms Based on Semismooth Newton Methods.- Well-Posed Problems and Error Bounds in Optimization.- Modeling and Solution Environments for MPEC: GAMS & MATLAB.- Merit Functions and Stability for Complementarity Problems.- Minimax and Triality Theory in Nonsmooth Variational Problems.- Global and Local Superlinear Convergence Analysis of Newton-Type Methods for Semismooth Equations with Smooth Least Squares.- Inexact Trust-Region Methods for Nonlinear Complementarity Problems.- Regularized Newton Methods for Minimization of Convex Quadratic Splines with Singular Hessians.- Regularized Linear Programs with Equilibrium Constraints.- Reformulations of a Bicriterion Equilibrium Model.- A Smoothing Function and its Applications.- On the Local Super—Linear Convergence of a Matrix Secant Implementation of the Variable Metric Proximal Point Algorithm for Monotone Operators.- Reformulation of a Problem of Economic Equilibrium.- A Globally Convergent Inexact Newton Method for Systems of Monotone Equations.- On the Limiting Behavior of the Trajectory of Regularized Solutions of a P0-Complementarity Problem.- Analysis of a Non-Interior Continuation Method Based on Chen-Mangasarian Smoothing Functions for Complementarity Problems.- A New Merit Function and a Descent Method for Semidefinite Complementar ity Problems.- Numerical Experiments for a Class of Squared Smoothing Newton Methods for Box Constrained Variational Inequality Problems.

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