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FilledSmallSquareInterpolatingPolynomial[data, var] gives a polynomial in the variable var which provides an exact fit to a list of data.

FilledSmallSquare The data can have the forms , , , , ... or , , ... , where in the second case, the are taken to have values 1, 2, ... .

FilledSmallSquare The can be replaced by , , , ... , specifying derivatives at the points .

FilledSmallSquare With a list of data of length , InterpolatingPolynomial gives a polynomial of degree .

FilledSmallSquare Example: InterpolatingPolynomial[4, 5, 8, x] LongRightArrow.

FilledSmallSquareInterpolatingPolynomial gives the interpolating polynomial in Newton form, suitable for numerical evaluation.

FilledSmallSquare See The Mathematica Book: Section 3.3.4 and Section 3.8.1.

FilledSmallSquare See also: Fit, Roots.

FilledSmallSquare Related package: NumericalMath`PolynomialFit`.

Further Examples