Overview

The concept of 'reformulation' has long played an important role in mathematical programming. A classical example is the penalization technique in constrained optimization. More recent trends consist of reformulation of various mathematical programming problems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. The book is a collection of peer-reviewed papers that cover such diverse areas as linear and nonlinear complementarity problems, variational inequality problems, nonsmooth equations and nonsmooth optimization problems, economic and network equilibrium problems, semidefinite programming problems, maximal monotone operator problems, and mathematical programs with equilibrium constraints. The reader will be convinced that the concept of 'reformulation' provides extremely useful tools for advancing the study of mathematical programming from both theoretical and practical aspects. Audience: This book is intended for students and researchers in optimization, mathematical programming, and operations research.

Full Product Details

Author:   Masao Fukushima ,  Liqun Qi
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   22
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.694kg
ISBN:  

9781441948052

ISBN 10:   1441948058
Pages:   444
Publication Date:   03 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions