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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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Efficient numerical methods for the simulation of particulate and liquid-solid flows
TL;DR: In this work a set of efficient numerical methods for the simulation of particulate flows and virtual prototyping applications are proposed and a mesh adaptation technique to increase the numerical efficiency of the CFD-simulations is shown.
Journal ArticleDOI
Computational experience with general equilibrium problems
TL;DR: It is reported on computational experience with an implementation of three algorithms for the general economic equilibrium problem that the projection algorithm for variational inequalities increases the size of solvable models by a Factor 5–10 in comparison with the classical homotopy method.
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Balanced Virtual Humans Interacting with their Environment
Antoine Rennuit,Alain Micaelli,Xavier Merlhiot,Claude Andriot,François Guillaume,Nicolas Chevassus,Damien Chablat,Patrick Chedmail +7 more
TL;DR: In this paper, the main purpose is the virtual human for engineering, especially virtual prototyping, and it takes days to a specialist to build such animated sequences, and is not adaptive to any type of modifications.
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Topological fixed point theory and applications to variational inequalities
TL;DR: In this article, a general theoretical framework for the solvability of variational inequalities with possibly non-convex constraints and objectives is proposed, consisting of a generic constrained nonlinear inequality, derived from new topological fixed point theorems for setvalued maps in the absence of convexity.
Book ChapterDOI
Surrogate Constraint Methods for Linear Inequalities
Kai Yang,Katta G. Murty +1 more
TL;DR: Current applications of mathematical programming in areas such as computerized tomography (CAT scan) lead to very large and sparse systems of linear equations and inequalities which need to be solved approximately within reasonable time.