Polynomial Interpolation

Dates and Math
Vagelis Plevris

Version Compatibility: Visual Basic 6

More information:
Polynomial interpolation is the interpolation of a given data set by a polynomial. Given some data points {xi, yi}, the aim is to find a polynomial which goes exactly through these points. This program calculates the coefficients of that polynomial. Given a set of n data points (xi,yi) where no two xi are the same, one is looking for a polynomial p of degree at most (n-1) with the property: p(xi) = yi for every xi, yi. For the solution to the problem, a linear system of dimensions n x n has to be formed and solved. The program features a user-friendly interface which is limited to 10 {xi, yi} data points. The process itself can be used for the solution of any problem with any number of data points.

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Download polynomial.zip