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The Design of a Parallel Method for the Solution of a General, Narrow Banded Linear Systems

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The Design of a Parallel Method for the Solution of a General, Narrow Banded Linear Systems

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1997

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Abstract

A row partitioning approach for general, nonsingular narrow-banded linear systems is described which yields a stable and naturally parallel algorithm suitable for parallel computers. The system matrix is partitioned into a series of rectangular smaller matrices with only a small set of global unknowns which interface consecutive submatrices. The solution of a system for this small set of unknowns yields the solution of the original gystem with almost perfect parallelism.

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Technical Report; 97-006

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Oettli, Michael; Sameh, Ahmed. (1997). The Design of a Parallel Method for the Solution of a General, Narrow Banded Linear Systems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/215355.

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