On the convergence of a basic iterative method for the implicit complementarity problem

1982 ◽  
Vol 37 (2) ◽  
pp. 149-162 ◽  
Author(s):  
J. S. Pang
Keyword(s):  
Iterative Method ◽  
Complementarity Problem ◽  
Implicit Complementarity Problem

Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem

2017 ◽  
Vol 7 (2) ◽  
pp. 363-375 ◽  
Author(s):  
Chen-Liang Li ◽  
Jun-Tao Hong
Keyword(s):  
Theoretical Analysis ◽  
Complementarity Problem ◽  
Numerical Results ◽  
Multiprocessor Systems ◽  
Implicit Complementarity Problem ◽  
New Methods ◽  
Iteration Methods

AbstractWe construct modulus-based synchronous multisplitting iteration methods to solve a large implicit complementarity problem on parallel multiprocessor systems, and prove their convergence. Numerical results confirm our theoretical analysis and show that these new methods are efficient.

scholarly journals On the implicit complementarity problem in Hilbert spaces

1985 ◽  
Vol 32 (2) ◽  
pp. 251-260 ◽  
Author(s):  
G. Isac
Keyword(s):  
Optimal Control ◽  
Variational Inequalities ◽  
Existence Theorem ◽  
Hilbert Spaces ◽  
Stochastic Optimal Control ◽  
Complementarity Problem ◽  
Principal Result ◽  
Implicit Complementarity Problem

We consider in this paper the implicit complementarity problem imposed by quasi-variational inequalities and stochastic optimal control. The principal result is an existence theorem for the implicit complementarity problem in Hilbert spaces.

scholarly journals On the nonlinear implicit complementarity problem

1993 ◽  
Vol 16 (4) ◽  
pp. 783-789 ◽  
Author(s):  
A. H. Siddiqi ◽  
Q. H. Ansari
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Iterative Algorithm ◽  
Complementarity Problem ◽  
Implicit Complementarity Problem ◽  
New Class ◽  
Special Cases

In this paper, we consider a new class of implicit complementarity problem and study the existence of its solution. An iterative algorithm is also given to find the approximate solution of the new problem and prove that this approximate solution converges to the exact solution. Several special cases are also discussed.

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