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Systolic computation of interpolating polynomials - MaRDI portal

Systolic computation of interpolating polynomials (Q2641062)

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Systolic computation of interpolating polynomials
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    Systolic computation of interpolating polynomials (English)
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    1990
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    Several time-optimal and spacetime-optimal systolic arrays are presented for computing a process dependence graph corresponding to the Aitken algorithm. It is shown that these arrays also can be used to compute the generalized divided differences, i.e., the coefficients of the Hermite interpolating polynomial. Multivariate generalized divided differences are shown to be efficiently computed on a 2-dimensional systolic array. The techniques also are applied to the Neville algorithm, producing similar results.
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    Newton interpolation
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    Aitken algorithm
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    Hermite interpolating polynomial
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    divided differences
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    systolic array
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    Neville algorithm
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