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Implementing Gaussian elimination on a matrix-matrix multiplication systolic array - MaRDI portal

Implementing Gaussian elimination on a matrix-matrix multiplication systolic array (Q750086)

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scientific article; zbMATH DE number 4174221
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Implementing Gaussian elimination on a matrix-matrix multiplication systolic array
scientific article; zbMATH DE number 4174221

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    Implementing Gaussian elimination on a matrix-matrix multiplication systolic array (English)
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    1990
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    The author proves that any systolic array, dedicated to execute the matrix-matrix multiplication \(C=AB\), can be reprogrammed so as to perform Gaussian elimination on A. It is interesting to note that in order to achieve this goal the author does not modify the flow of the variables in the array nor the input and output characteristics, but he simply changes the program of the cells. This allows us to pipe-line the Gaussian elimination with other computations which may be of importance in many applications.
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    systolic array
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    matrix-matrix multiplication
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    Gaussian elimination
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