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An algebraic approach to building interpolating polynomial

Pages: 597 - 604, Issue Special, August 2005

 Abstract        Full Text (182.2K)              

Aihua Li - Department of Mathematical Sciences, Montclair State University, Montclair, NJ 07043, United States (email)

Abstract: 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:  Interpolator, Grobner basis, time series.
Mathematics Subject Classification:  Primary: 70G60; Secondary: 37M99.

Received: September 2004;      Revised: April 2005;      Published: September 2005.