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Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.37 (2005) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4145
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| Title: | Polynomial Ideals, Monomial Bases and a Divided Difference Formula |
| Authors: | Pistone, Giovanni
Riccomagno, Eva
Wynn, Henry P. |
| Keywords: | Divided differences
Polynomial ideals
Taylor approximation |
| Issue Date: | 2005 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica |
| Citation: | G. Pistone, E. Riccomagno, H.P. Wynn, "Polynomial Ideals, Monomial Bases and a Divided Difference Formula", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 121-144. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (2005) |
| Abstract: | A generalised (multivariate) divided difference formula
is given for an arbitrary finite set of points with no subsets of three
points that lie on a line. This follows from an extension of the
Newton’s polynomials and Newton’s interpolation formula. It is
derived as the interpolation based on Gr¨obner bases for the grid
expressed as a zero-dimensional variety and is typically dependent
on the chosen term-ordering and the selected ordering of points
in the grid. |
| URI: | http://hdl.handle.net/10077/4145 |
| ISSN: | 0049-4704 |
| MS Classification: | 41A05
13P10 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.37 (2005)
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