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The convergence of parallel iteration algorithms for linear complementarity problems - MaRDI portal

The convergence of parallel iteration algorithms for linear complementarity problems (Q1352387)

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scientific article; zbMATH DE number 978113
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The convergence of parallel iteration algorithms for linear complementarity problems
scientific article; zbMATH DE number 978113

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    The convergence of parallel iteration algorithms for linear complementarity problems (English)
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    30 October 1997
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    This paper describes and analyses parallel multisplitting AOR methods for the linear complementarity problem. Convergence for particular schemes is proved in the case that the matrix is an \(H\)-matrix with positive diagonal or a symmetric positive matrix in dissection form compatible with the multisplitting. Iteration counts are compared for various degrees of overlaps and choices of parameters in a numerical example of dimension 105.
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    convergence
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    \(H\)-matrix
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    multisplitting AOR methods
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    linear complementarity problem
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    numerical example
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