Vandermonde’s Matrix Part 2

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Vandermonde’s Matrix Part 2

This is in continuation with the earlier article:

https://myind.net/Home/viewArticle/vandermondes-matrix-and-polynomial-interpolation

Let us fit a Quartic (fourth degree) polynomial to the given data points:

(0, -1), (1, 0), (2, 5), (3, 14) and (4, 27).

The Vandermonde matrix for the above data points will be:

Solving this we get

Hence, the governing polynomial function for the experiment is given by

When we try to overfit a higher degree polynomial to the given data points, the coefficients of higher degrees of x will turn out to be 0.

Image provided by the author.

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