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 |
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Official URL: | http://www.units.it/ |

Additional Information: | © 2006 The Authors |

Divisions: | Centre for Analysis of Time Series |

Subjects: | 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 |

Last Modified: | 20 Feb 2019 08:35 |

URI: | http://eprints.lse.ac.uk/id/eprint/55886 |

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