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- W4294333379 abstract "In this paper, we consider methods to compute the coefficients of interpolants relative to a basis of polynomials satisfying a three-term recurrence relation. Two new algorithms are presented: the first constructs the coefficients of the interpolation incrementally and can be used to update the coefficients whenever a nodes is added to or removed from the interpolation. The second algorithm, which constructs the interpolation coefficients by decomposing the Vandermonde-like matrix iteratively, can not be used to update or downdate an interpolation, yet is more numerically stable than the first algorithm and is more efficient when the coefficients of multiple interpolations are to be computed over the same set of nodes." @default.
- W4294333379 created "2022-09-02" @default.
- W4294333379 creator A5043020378 @default.
- W4294333379 date "2010-03-24" @default.
- W4294333379 modified "2023-09-25" @default.
- W4294333379 title "Efficient Construction, Update and Downdate Of The Coefficients Of Interpolants Based On Polynomials Satisfying A Three-Term Recurrence Relation" @default.
- W4294333379 doi "https://doi.org/10.48550/arxiv.1003.4628" @default.
- W4294333379 hasPublicationYear "2010" @default.
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