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Linear complementarity, linear and nonlinear programming

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The article was published on 1988-01-01 and is currently open access. It has received 1012 citations till now. The article focuses on the topics: Mixed complementarity problem & Complementarity theory.

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Journal ArticleDOI

Global Modulus-Based Synchronous Multisplitting Multi-Parameters TOR Methods for Linear Complementarity Problems

TL;DR: This paper extends Bai and Zhang’s algorithms and analyzes global modulus-based synchronous multisplitting multi-parameters TOR (two parameters overrelaxation) methods and studies the weaker convergence results based on linear complementarity problems.
Proceedings ArticleDOI

Computation time analysis of a distributed optimization algorithm applied to automated irrigation networks

TL;DR: This paper considers the computation time of two algorithms for solving a structured constrained linear optimal control problem with finite horizon quadratic cost within the context of automated irrigation networks and shows that there is a significant advantage in terms of computation time in using the second algorithm in large-scale networks.
Journal ArticleDOI

An iteration method for nonlinear complementarity problems

TL;DR: The convergence analysis of the proposed preconditioned modulus-based iteration method for nonlinear complementarity problems is presented and numerical examples are given to illustrate the efficiency of the method.
Journal ArticleDOI

A modulus iteration method for retinex problem

TL;DR: A variational minimization model with physical constraints imposed on reflectance values is proposed and it is shown that the proposed model is equivalent to a linear complementarity problem, and a modulus iteration method is applied to solve it.
Journal ArticleDOI

The modulus-based matrix double splitting iteration method for linear complementarity problems

TL;DR: The efficiency of the MB-DS iteration method and the effectiveness of the optimal parameter are shown and the convergence regions and the optimal values for the parameter ω are presented.
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