In polynomial interpolation:(adsbygoogle = window.adsbygoogle || []).push({});

I see some connection between:

The Vandermonde matrix, the monomial basis and the fact that 'the monomial basis is not a good basis because it's components are not very orthogonal'.

Now, I still don't really grasp sufficiently the reason why exactly a Vandermonde matrix is often ill-conditioned. Also, I don't feel I understand why an orthogonal basis in general leads to better conditioned problems, how self-evident it may look from a certain point of view.

Any insights?

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# Vandermonde matrix

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