A PARALLEL SOLUTION ALGORITHM FOR SETS OF EQUATIONS WITH FIVE-DIAGONAL COEFFICIENT MATRICES AND THE ANALYSIS OF ITS STABILITY |
| 2 | |
| 2009 |
| scientific article | 519.612:004.021 | ||
| 135-140 | parallel algorithm, systems of equations with five-diagonal matrices, diagonal dominance, correctness, and stability |
| A direct parallel solution algorithm for systems of equations with five-diagonal coefficient matriсes is proposed.
An analysis has been carried out of correctness and stability of the parallel solution algorithm for systems of equations
with variable and constant coefficients over the intervals of parallelization depending on the ratio of initial
system coefficients. The parallel algorithm has been proposed to be used for solution of a grid problem for the biharmonic
equation. |
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