The convergence of parallel iteration algorithms for linear complementarity problems
نویسندگان
چکیده
منابع مشابه
On the Convergence of the Iteration Sequence of Infeasible Path Following Algorithms for Linear Complementarity Problems
A generalized class of infeasible-interior-point methods for solving horizontal linear complementarity problem is analyzed and suucient conditions are given for the convergence of the sequence of iterates produced by methods in this class. In particular it is shown that the largest step path following algorithms generates convergent iterates even when starting from infeasible points. The comput...
متن کاملOn the Convergence of the Iteration Sequence of Infeasible Path following Algorithms for Linear Complementarity Problems (revised Version)
A generalized class of infeasible-interior-point methods for solving horizontal linear complementarity problem is analyzed and suucient conditions are given for the convergence of the sequence of iterates produced by methods in this class. In particular it is shown that the largest step path following algorithms generates convergent iterates even when starting from infeasible points. The comput...
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In this paper, amodulus-based generalized skew-Hermitian triangular splitting (MGSTS) iteration method is present for solving a class of linear complementarity problems with the system matrix either being an H+-matrix with non-positive off-diagonal entries or a symmetric positive definite matrix. The convergence of the MGSTS iterationmethod is studied in detail. By choosing different parameters...
متن کاملModulus-based synchronous multisplitting iteration methods for linear complementarity problems
To reduce the communication among processors and improve the computing time for solving linear complementarity problems, we present a two-step modulus-based synchronous multisplitting iteration method and the corresponding symmetric modulus-based multisplitting relaxation methods. The convergence theorems are established when the system matrix is an H+-matrix, which improve the existing converg...
متن کاملImproved infeasible-interior-point algorithm for linear complementarity problems
We present a modified version of the infeasible-interior- We present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by Mansouri et al. (Nonlinear Anal. Real World Appl. 12(2011) 545--561). Each main step of the algorithm consists of a feasibility step and several centering steps. We use a different feasibility step, which tar...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1996
ISSN: 0898-1221
DOI: 10.1016/0898-1221(96)00172-1