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Incomplete-Cholesky factorization by a matrix-partition algorithm

Conference ·
OSTI ID:6203758

Matrix-partition algorithms for solving tridiagonal systems of equations are highly adaptable to parallel processors. In this paper, a matrix-partition algorithm for generating a block-Cholesky factorization of a permuted form of a block tridiagonal system is presented. A preconditioning system based on an incomplete application of this algorithm is then described. Under certain dominance conditions, it is shown that the computations within a partition can be performed independently thus yielding a highly parallel incomplete-Cholesky factorization particularly suitable for multi-processing architectures.

Research Organization:
California State Univ., Hayward (USA); Lawrence Livermore National Lab., CA (USA)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
6203758
Report Number(s):
UCRL-88989; CONF-830116-3; ON: DE83013044
Country of Publication:
United States
Language:
English

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