A Fitzpatrick algorithm for multivariate rational interpolation |
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| Authors: | Peng XiaShugong Zhang Na Lei |
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| Institution: | School of Mathematics, Key Lab. of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012, PR China |
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| Abstract: | In this paper, we first apply the Fitzpatrick algorithm to osculatory rational interpolation. Then based on a Fitzpatrick algorithm, we present a Neville-like algorithm for Cauchy interpolation. With this algorithm, we can determine the value of the interpolating function at a single point without computing the rational interpolating function. |
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| Keywords: | Fitzpatrick algorithm Rational interpolation Grö bner basis Neville-like algorithm |
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