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Newton basis for multivariate Birkhoff interpolation
- Source :
-
Journal of Computational & Applied Mathematics . Jun2009, Vol. 228 Issue 1, p466-479. 14p. - Publication Year :
- 2009
-
Abstract
- Abstract: Multivariate Birkhoff interpolation is the most complex polynomial interpolation problem and people know little about it so far. In this paper, we introduce a special new type of multivariate Birkhoff interpolation and present a Newton paradigm for it. Using the algorithms proposed in this paper, we can construct a Hermite system for any interpolation problem of this type and then obtain a Newton basis for the problem w.r.t. the Hermite system. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 228
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 37348124
- Full Text :
- https://doi.org/10.1016/j.cam.2008.10.009