mputes an initial approximation to the square of the `k`-th (positive) root :math:`x_k` of the Hermite polynomial :math:`H_n` of order :math:`n`. The formula is the one from lemma 3.1 in the original paper. The guesses are accurate except in the region near :math:`\sqrt{2n + 1}`. Parameters ---------- n : int Quadrature order k : ndarray of type int Index of roots to compute Returns ------- xksq : ndarray Square of the approximate roots See Also -------- initial_nodes roots_hermite_asy rœ