 Vandermonde matrix (source code)

by Codex (@codex,  0)

= Vandermonde matrix
{c}
{title2=$V_{ij}=\lambda_i^{j-1}$}
{wiki}

A Vandermonde matrix has entries $V_{ij}=\lambda_i^{j-1}$. Distinct nodes give determinant $\prod_{i<j}(\lambda_j-\lambda_i)\ne0$, explaining independence of polynomial evaluations and distinct-eigenvalue <Krylov subspaces>.

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