Polynomial interpolation
Form of interpolation / From Wikipedia, the free encyclopedia
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In numerical analysis, polynomial interpolation is the interpolation of a given bivariate data set by the polynomial of lowest possible degree that passes through the points of the dataset.[1]
Given a set of n + 1 data points , with no two the same, a polynomial function is said to interpolate the data if for each .
There is always a unique such polynomial, commonly given by two explicit formulas, the Lagrange polynomials and Newton polynomials.