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An algebraic approach to building interpolating polynomial
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.