The calculator calculates the Newton interpolation polynomial for any definable points. The points can be entered in tabular form or alternatively loaded from a file.
An alternative input is possible by loading the data from a file. The values must be separated by comma, space or semicolon and must be in pairs x1, y1, x2, y2, ...
Table for determining the factors αi. These are the red elements in the table. By crossing over them with the mouse, the calculation elements are highlighted.
α0 = y0; α1 = (y1 - y0)/(x1 - x0); ...
In general, the Newton interpolation polynomial is
pn(x) = α0 + α1(x - x0) + α2(x - x0)(x - x1) + α3(x - x0)(x - x1)(x - x2) + ... + αn(x - x0)(x - x1) ... (x - xn-1)
and with the factors αi from the table and the support values the interpolation polynomial results in
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Here is a list of further useful sites:Index Horners Method Lagrange Interpolation Curve fit Fitting Gaussian distribution Mean Value Calculator Fourier series calculator Taylor-Series