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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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Journal ArticleDOI
A block principal pivoting algorithm for large-scale strictly monotone linear complementarity problems
TL;DR: The algorithm combines a fast block strategy with a single principal pivoting technique that enables finite convergence and Computational experience with large-scale linear complementarity problems illustrates the efficiency of the procedure.
Book ChapterDOI
Unilateral Problems of Dynamics
TL;DR: In this paper, a rigid body approach is proposed for the dynamics of mechanical systems, achieving good results also for multiple-contact problems, with the corresponding contact constraints varying with time, thus generating structure-variant systems.
Proceedings ArticleDOI
Fast Implementation of Lemke’s Algorithm for Rigid Body Contact Simulation
TL;DR: In this paper, a fast method for solving rigid body contact problems with friction, based on optimizations incorporated into Lemke's algorithm for solving linear complementarity problems, is presented, which reduces the expected solution complexity from O(n3) to nearly O(nm + m3), where n and m are the number of contacts and rigid bodies.
Journal ArticleDOI
Functions without exceptional family of elements and complementarity problems
George Isac,W. T. Obuchowska +1 more
TL;DR: In this paper, it is shown that several classes of nonlinear functions, known in complementarity theory or other domains, are functions without exceptional family of elements and consequently the corresponding complementarity problem is solvable.
Book ChapterDOI
Contact Model for Haptic Medical Simulations
TL;DR: A novel and very efficient approach for precise computation of the interaction between organs and instruments, which follows unilateral formulation and allows realistic interactions on non-linear models simulated with stable implicit scheme of time integration.