Bivariate composite vector valued rational interpolation |
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| Authors: | Jieqing Tan Shuo Tang. |
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| Affiliation: | Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, P. R. China ; Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, P. R. China |
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| Abstract: | In this paper we point out that bivariate vector valued rational interpolants (BVRI) have much to do with the vector-grid to be interpolated. When a vector-grid is well-defined, one can directly design an algorithm to compute the BVRI. However, the algorithm no longer works if a vector-grid is ill-defined. Taking the policy of ``divide and conquer', we define a kind of bivariate composite vector valued rational interpolant and establish the corresponding algorithm. A numerical example shows our algorithm still works even if a vector-grid is ill-defined. |
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| Keywords: | Branched continued fraction interpolation algorithm |
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