Multivariate Rational Interpolation: Reconstruction of Rational Functions.
Please always quote using this URN: urn:nbn:de:0297-zib-227
- In this paper we consider the problem of reconstructing a multivariate rational function, when only its values at sufficiently many points are known. We use for the reconstruction of bivariate rational functions a bivariate rational interpolation operator investigated by Siemaszko [7] and a new one, compare both by examples in a Computer Algebra system, and present their multivariate generalizations. {\bf Keywords:} Multivariate rational interpolation, reconstruction, symbolic computation.
Author: | H. Michael Möller |
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Document Type: | ZIB-Report |
Tag: | Multivariante rational interpolation; reconstruction; symbolic computation |
MSC-Classification: | 41-XX APPROXIMATIONS AND EXPANSIONS (For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx) / 41Axx Approximations and expansions / 41A20 Approximation by rational functions |
65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D05 Interpolation | |
Date of first Publication: | 1989/07/03 |
Series (Serial Number): | ZIB-Report (SC-89-04) |
ZIB-Reportnumber: | SC-89-04 |
Published in: | Appeared in: Multivar. Approximation Theory IV, C.K. Chui et al. (eds.) ISNM Vol.90, Birkhaeuser Verlag 1989, pp. 249-256 |