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Avoiding the square-root bottleneck in the Choleski factorization of a matrix on a parallel computer - MaRDI portal

Avoiding the square-root bottleneck in the Choleski factorization of a matrix on a parallel computer (Q1072331)

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scientific article; zbMATH DE number 3942901
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Avoiding the square-root bottleneck in the Choleski factorization of a matrix on a parallel computer
scientific article; zbMATH DE number 3942901

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    Avoiding the square-root bottleneck in the Choleski factorization of a matrix on a parallel computer (English)
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    1986
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    The main difficulty in the parallel computation of the Cholesky factorization of a matrix is the fact that the square roots must be computed sequentially. We present a new way to compute the Cholesky factorization which allows the square roots to be (partially) overlapped. The biggest improvement is obtained when square roots are much slower than divides and multiplies (i.e. when they are implemented in software).
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    square-root bottleneck
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    parallel computation
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    Cholesky factorization
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