Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4145| 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 | Source: | 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 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.37 (2005) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| PistoneRiccomagnoWynnRendMat37.pdf | 187.42 kB | Adobe PDF | View/Open |
CORE Recommender
Page view(s)
612
checked on Oct 15, 2018
Download(s)
364
checked on Oct 15, 2018
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.