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2005, 2005(Special): 597-604. doi: 10.3934/proc.2005.2005.597

An algebraic approach to building interpolating polynomial

Aihua Li 1,

1. 

Department of Mathematical Sciences, Montclair State University, Montclair, NJ 07043, United States

Received  September 2004 Revised  April 2005 Published  September 2005

In this paper, a different approach to constructing interpolating (multivariable) polynomials is given, which uses Gröbner Bases Techniques. The well known Buchberger -Möller Algorithm is applied in the computation. Furthermore, this algebraic method can be used to construct all the polynomial models of a discrete time series, by repeatedly using the same algorithm. The advantage of this method is that it makes it possible for researchers to search different types of resulting polynomials, such as those involving certain favored variables, or those with small total degrees.
Keywords: Grobner basis, time series., Interpolator.
Mathematics Subject Classification: Primary: 70G60; Secondary: 37M9.
Citation: Aihua Li. An algebraic approach to building interpolating polynomial. Conference Publications, 2005, 2005 (Special) : 597-604. doi: 10.3934/proc.2005.2005.597
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