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Nonstationary two-stage multisplitting methods with overlapping blocks

✍ Scribed by Zhi-Hao Cao

Book ID
104156452
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
496 KB
Volume
285
Category
Article
ISSN
0024-3795

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✦ Synopsis

Parallel synchronous two-stage multisplitting methods with overlap for the solution of linear systems of equations are studied. It is shown that under certain hypotheses, the method with overlap is faster, in some measure, than that without overlap. Our results extend the comparison results of multisplittings with overlapping blocks with those of nonoverlapping blocks from (A. Frommer, B. Pohl, A comparison result for multisplittings and wave form relaxation methods, Numer. Linear Algebra Appl. 2 (1995) 335-346) and (M.T. Jones, D.B. Szyld, Two-stage multisplitting methods with overlapping blocks, Numer. Linear Algebra Appl. 3 (1996) 113-124) to the two-stage nonstationary case.

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