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Polynomial ideals, monomial bases and a divided difference formula

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

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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
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)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 27 Feb 2014 09:48
URL: http://eprints.lse.ac.uk/55886/

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