An algorithm for generalized rational interpolation |
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| Authors: | S L Loi A W McInnes |
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| Institution: | (1) Department of Mathematics, National University of Singapore, Kent Ridge, 0511, Singapore;(2) Department of Mathematics, University of Canterbury, Christchurch 1, New Zealand |
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| Abstract: | A recursive algorithm for the construction of the generalized form of the interpolating rational function is derived. This generalization of the Neville-Aitken algorithm constructs a table of all possible rational interpolants in implicit form. The algorithm may be simply modified so that it does not break down when a singularity occasionally appears. The coefficients of the interpolant and the evaluation of the interpolant at an arbitrary point may be easily calculated. |
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