A fast vector algorithm for solving tridiagonal linear equations (Q1118354)

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scientific article; zbMATH DE number 4094672
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A fast vector algorithm for solving tridiagonal linear equations
scientific article; zbMATH DE number 4094672

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    A fast vector algorithm for solving tridiagonal linear equations (English)
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    1989
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    Incomplete cyclic reduction is applied to tridiagonal systems to split them into a number of small independent systems which can be solved in parallel. The authors report on experiments in which, belong others, the optimum dimension of the small systems was found to be about one half of the characteristic number \(n_{1/2}\) of the vector computer (50 for the CYBER 205 and 20 for the CRAY X-MP/24).
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    Gauss elimination
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    numerical examples
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    parallel computation
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    Incomplete cyclic reduction
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    tridiagonal systems
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    vector computer
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