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A parallel partition method for solving banded systems of linear equations. (English) Zbl 0599.65016

A partition method for solving systems of linear algebraic equations with banded nonsingular matrix is presented as a generalization of the partition method for tridiagonal systems by H. H. Wang [ACM Trans. Math. Software 7, 170-183 (1981; Zbl 0473.65010)]. A sufficient condition for the numerical stability of diagonally dominant matrices is proved. Operation counts for scalar and vector cases, and for parallel computers are given. Comparison aspects of the method with Gaussian elimination and the parallel cyclic reduction are presented together with examples of tri- and pentadiagonal systems implemented on the CRAY X-MP.
Reviewer: L.Bakule

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
15A23 Factorization of matrices
68N25 Theory of operating systems

Citations:

Zbl 0473.65010
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