Pistone, Giovanni, Riccomagno, E. and Wynn, Henry P. (2006) Polynomial ideals, monomial bases and a divided difference formula. Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 37 . pp. 121-144. ISSN 0049-4704
Abstract
Contribution to "School (and Workshop) on Computational Algebra for Algebraic Geometry and Statistics", Torino, September 2004. Summary. -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 Gröbner 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.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.units.it/ |
| Additional Information: | © 2006 The Authors |
| Library of Congress subject classification: | Q Science > QA Mathematics |
| Sets: | Research centres and groups > Centre for the Analysis of Time Series (CATS) Research centres and groups > Decision Support and Risk Group (DSRG) |
| Date Deposited: | 27 Feb 2014 09:48 |
| URL: | http://eprints.lse.ac.uk/55886/ |
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