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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
Two-step modulus-based matrix splitting iteration method for linear complementarity problems
TL;DR: A two-step modulus-based matrix splitting iteration method, which consists of a forward and a backward sweep, which proves its convergence theory is proved when the system matrix is an H + -matrix.
Proceedings ArticleDOI
Quasi-rigid objects in contact
TL;DR: This work argues that point cloud surface representations are advantageous for modeling rapidly varying, wide area contacts and obtains a scalable system that efficiently handles complex contact configurations, even for high-resolution models obtained from laser range scans.
Journal ArticleDOI
The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems
James V. Burke,Song Xu +1 more
TL;DR: A noninterior path-following algorithm is proposed for the linear complementarity problem that employs smoothing techniques introduced by Kanzow and relies on the notion of a neighborhood for the central path.
Proceedings ArticleDOI
Post-stabilization for rigid body simulation with contact and constraints
M.B. Cline,Dinesh K. Pai +1 more
TL;DR: This paper shows how constraint stabilization can also be done in a complementarity framework and effectively eliminates the drift problem for both equality and inequality constraints and requires no parameter tweaking.
Journal ArticleDOI
Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems
Zhong-Zhi Bai,Li-Li Zhang +1 more
TL;DR: The convergence theory of these modulus-based synchronous two-stage multisplitting iteration methods and their relaxed variants when the system matrix is an H + -matrix is established.