diff --git a/notes/notes.org b/notes/notes.org index ef575f1..7111e7c 100644 --- a/notes/notes.org +++ b/notes/notes.org @@ -4990,7 +4990,7 @@ Write down the Lagrange interpolant for nodes $(x_i)_{i=1}^m$ and values $(y_i)_ Find a basis so that \(V\) is triangular. #+LATEX: \begin{hidden} Easier to build than Lagrange, but: coefficient finding costs \(O (n^2)\). -\[\varphi _j (x) = \prod _{k = 1}^{j - 1} (x - x_k) . \] +\[\varphi _j (x) = \prod _{k = 1}^{j} (x - x_k) . \] (At least) two possibilities for coefficient finding: - Set up \(V\), run forward substitution.