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Systolic Gauss-Jordan elimination for dense linear systems - MaRDI portal

Systolic Gauss-Jordan elimination for dense linear systems (Q908654)

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scientific article; zbMATH DE number 4135292
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Systolic Gauss-Jordan elimination for dense linear systems
scientific article; zbMATH DE number 4135292

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    Systolic Gauss-Jordan elimination for dense linear systems (English)
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    1989
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    A systolic array is designed for the Gauss-Jordan algorithm for solving dense linear systems of equations. This algorithm combines the factorization and backsolving step in one loop. The new algorithm saves 25 \% of the cells used in an algorithm due to \textit{R. Melhem} [ibid. 4, 339-343 (1987; Zbl 0618.65021)] but maintains the same speed.
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    systolic array
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    Gauss-Jordan algorithm
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    dense linear systems
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    factorization
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