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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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Modified modulus-based matrix splitting iteration methods for linear complementarity problems
TL;DR: For solving the large sparse linear complementarity problems, modified modulus-based matrix splitting iteration methods are established and the convergence analysis when the system matrices are H+-matrices is presented.
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Solution of finite-dimensional variational inequalities using smooth optimization with simple bounds
TL;DR: In this paper, the variational inequality problem is reduced to an optimization problem with a differentiable objective function and simple bounds, and an algorithm that uses the smooth minimization approach for solving monotone problems is defined.
Journal ArticleDOI
On the modulus algorithm for the linear complementarity problem
TL;DR: It is shown that the modulus algorithm is convergent for all three subclasses of P-matrices whereas the convergence of the PSOR method is only guaranteed for two of them.
Journal ArticleDOI
Iterative methods with analytical preconditioning technique to linear complementarity problems: application to obstacle problems
TL;DR: Comparison between this paper's methods and other non-preconditioned methods for the studied problem shows a remarkable agreement and reveals that these models are superior in point of view of convergence rate and computing efficiency.
Journal ArticleDOI
A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems
Hua Zheng,Seakweng Vong +1 more
TL;DR: A modified modulus-based matrix splitting iteration method is established for solving a class of implicit complementarity problems and some numerical examples show that the proposed method is efficient.