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Parallel algorithm for solving periodical block-tridiagonal linear equations

Jie Ouyang

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Abstract

A parallel algorithm for periodical block-tridiagonal linear equations on distributed-memory multi-computers is presented.The algorithm is based on preprocessing the coefficient matrix and makes full use of the special structure of the coefficient matrix.The communication only needs twice between the adjacent processors.In theory,this paper gives an enough condition about this algorithm.Finally,some numerical results on HP rx2600 cluster show that practice computing is consistent with theory.The algorithm's parallelism is good.

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What this paper is about

A parallel algorithm for periodical block-tridiagonal linear equations on distributed-memory multi-computers is presented.The algorithm is based on preprocessing the coefficient matrix and makes full use of the special structure of the coefficient matrix.The communication only needs twice between the adjacent processors.In theory,this paper gives an enough condition about this algorithm.Finally,some numerical results on HP rx2600 cluster show that practice computing is consistent with theory.The algorithm's parallelism is good.

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Available abstract

A parallel algorithm for periodical block-tridiagonal linear equations on distributed-memory multi-computers is presented.The algorithm is based on preprocessing the coefficient matrix and makes full use of the special structure of the coefficient matrix.The communication only needs twice between the adjacent processors.In theory,this paper gives an enough condition about this algorithm.Finally,some numerical results on HP rx2600 cluster show that practice computing is consistent with theory.The algorithm's parallelism is good.

Key concepts: Tridiagonal matrix, Coefficient matrix, Algorithm, Block (permutation group theory), Computer science, Matrix (chemical analysis), Tridiagonal matrix algorithm, Linear equation

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