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The Schwarzian-Newton method for solving nonlinear equations, with applications.

. Math. Comput., 86 (304): 865-879 (2017)

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The Zeros of Special Functions from a Fixed Point Method.. SIAM J. Numer. Anal., 40 (1): 114-133 (2002)Numerical Methods for Special Functions, , and . Society for Industrial & Applied Mathematics (SIAM), (January 2007)Interlacing of the zeros of contiguous hypergeometric functions.. Numer. Algorithms, 49 (1-4): 387-407 (2008)The Schwarzian-Newton method for solving nonlinear equations, with applications.. Math. Comput., 86 (304): 865-879 (2017)A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane., , , and . CoRR, (2024)Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders., , , and . Numer. Algorithms, 68 (3): 497-509 (2015)Algorithm 939: Computation of the Marcum Q-Function., , and . ACM Trans. Math. Softw., 40 (3): 20:1-20:21 (2014)Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments., , and . ACM Trans. Math. Softw., 30 (2): 145-158 (2004)Algorithm 914: Parabolic cylinder function W(a, x) and its derivative., , and . ACM Trans. Math. Softw., 38 (1): 6:1-6:5 (2011)Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex airy functions., , and . ACM Trans. Math. Softw., 28 (3): 325-336 (2002)