The problem of solving an infinite system of linear equations finitely expressed is addressed. Modifications of the Gauss-Seidel method are presented, especially suitable for the implementation on SMP machines with a small number of processors. One of the proposed parallel algorithms, which concentrates the computational efforts where they are most needed, results to be more efficient than the sequential algorithm, even from the point of view of the total number of operations.
Railway computation for infinite linear systems
MENCHI, ORNELLA;ROMANI, FRANCESCO
2002-01-01
Abstract
The problem of solving an infinite system of linear equations finitely expressed is addressed. Modifications of the Gauss-Seidel method are presented, especially suitable for the implementation on SMP machines with a small number of processors. One of the proposed parallel algorithms, which concentrates the computational efforts where they are most needed, results to be more efficient than the sequential algorithm, even from the point of view of the total number of operations.File in questo prodotto:
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