Asymptotic error constants of cubically convergent zero finding methods

Author:

Osada Naoki

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference13 articles.

1. Halley's methods for solving equations;Bateman;Amer. Math. Monthly,1938

2. Sur la méthods de Laguerre pour l’approximation des racines de certaines équations algébriques et sur la critique d’Hermite;Bodewig;Akad. Wetensh. Proc. (Amst.),1946

3. On Halley's iteration methods;Gander;Amer. Math. Monthly,1985

4. Methodus nova accurata & facilis inveniendi radices æqùationum quarumcumque genereliter, sine prævia reductione;Halley;Philos. Trans. Roy. Soc. London,1694

5. A family of root finding methods;Hansen;Numer. Math.,1977

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1. On the Convergence of Chebyshev’s Method for Multiple Polynomial Zeros;Results in Mathematics;2015-09-24

2. On the Convergence of Halley’s Method for Multiple Polynomial Zeros;Mediterranean Journal of Mathematics;2014-03-05

3. On a family of Laguerre methods to find multiple roots of nonlinear equations;Applied Mathematics and Computation;2013-08

4. Methods Involving Second or Higher Derivatives;Studies in Computational Mathematics;2013

5. On Newton-type methods for multiple roots with cubic convergence;Journal of Computational and Applied Mathematics;2009-09

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