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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.read more
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Hierarchical modelling framework for machine tool energy optimization
TL;DR: A novel approach to energy modelling and machining cycle optimization is introduced, splitting machining cycles into smaller, independent tasks, applicable to system wide analysis of multi-machine manufacturing systems, where machine and system level decisions are tightly coupled.
Journal ArticleDOI
Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem
Chen-Liang Li,Jun-Tao Hong +1 more
TL;DR: In this article, the authors construct modulus-based synchronous multisplitting iteration methods to solve a large implicit complementarity problem on parallel multiprocessor systems, and prove their convergence.
Journal ArticleDOI
An investigation of interior-point and block pivoting algorithms for large-scale symmetric monotone linear complementarity problems
TL;DR: A hybrid algorithm combining these two techniques is introduced and seems to be the most robust procedure for the solution of large-scale LCPs with symmetric positive definite matrices.
Book ChapterDOI
7 Mathematical programming — A computational perspective
TL;DR: This chapter focuses on the case where x is a vector with n components and the simplex method, one of the most popular methods for solving linear programming problems.
Journal ArticleDOI
A projected---gradient interior---point algorithm for complementarity problems
TL;DR: A procedure for globalizing interior–point algorithms by using the maximum stepsize is introduced and the algorithm combines exact or inexact interior– point and projected–gradient search techniques and employs a line–search procedure for the natural merit function associated with the complementarity problem.