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The Neville-like form of the Fitzpatrick algorithm for rational interpolation

✍ Scribed by Peng Xia, Shugong Zhang, Na Lei


Book ID
118807604
Publisher
Springer US
Year
2012
Tongue
English
Weight
521 KB
Volume
61
Category
Article
ISSN
1017-1398

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Let x0 .... ,XN be N + 1 interpolation points (nodes) and f0,...,fN be N+ 1 interpolation data. Then every rational function r with numerator and denominator degrees ~<N interpolating these values can be written in its barycentric form ## r(x) = x-x---SJkl x-xk, which is completely determined by