Non-stationary parallel multisplitting algorithms for almost linear systems (Q2760342)
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scientific article; zbMATH DE number 1684501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-stationary parallel multisplitting algorithms for almost linear systems |
scientific article; zbMATH DE number 1684501 |
Statements
19 December 2001
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almost linear systems
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multisplitting methods
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parallel computation
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nonlinear algorithm
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accelerated overrelaxation methods
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asynchronous algorithm
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convergence
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M-matrices
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H-matrices
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numerical experiments
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performance
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Non-stationary parallel multisplitting algorithms for almost linear systems (English)
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Non-stationary parallel multisplitting iterative methods for the solution of almost linear systems are introduced. The methods are extensions of non-stationary methods for the solution of such systems. A non-stationary parallel nonlinear algorithm based on the accelerated overrelaxation-type methods is introduced. Its extension to asynchronous algorithm is also considered. Convergence properties of synchronous and asynchronous versions of these methods are studied for M-matrices and H-matrices. In the last section some numerical experiments on a distributed memory multiprocessor illustrating the performance of these algorithms are discussed.
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