_initial_nodes_a(n, k)
Computes an initial approximation to the square of the k
-th (positive) root $x_k$
of the Hermite polynomial $H_n$
of order $n$
. The formula is the one from lemma 3.1 in the original paper. The guesses are accurate except in the region near $\sqrt{2n + 1}$
.
Square of the approximate roots
Tricomi initial guesses
Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.
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All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them