Polynomial ideals, monomial bases and a divided difference formula

Pistone, Giovanni, Riccomagno, E. and Wynn, Henry P. ORCID: 0000-0002-6448-1080 (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

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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
Divisions:	Centre for Analysis of Time Series
Subjects:	Q Science > QA Mathematics
Date Deposited:	27 Feb 2014 09:48
Last Modified:	11 Dec 2024 23:06
URI:	http://eprints.lse.ac.uk/id/eprint/55886

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