Listar por tema "order of convergence"
Mostrando ítems 1-5 de 5
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A new efficient parametric family of iterative methods for solving nonlinear systems
(Journal of Difference Equations and Applications, 18/09/2019)A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational ... -
A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative
(Numerical Algorithms, 01/2016)We study the local convergence of Chebyshev-Halley-type methods of convergence order at least five to approximate a locally unique solution of a nonlinear equation. Earlier studies such as Behl (2013), Bruns and Bailey ... -
Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
(SeMA Journal, 11/2015)We study the local convergence of a method presented by Cordero et al. of convergence order at least five to approximate a locally unique solution of a nonlinear equation. These studies show the convergence under hypotheses ... -
Desarrollo y análisis de un nuevo método iterativo para ecuaciones no lineales llamado Danby-Castillo
(22/07/2020)Entre los diversos problemas matemáticos tenemos las ecuaciones no lineales, las cuales no todas tienen un método analítico para poderlas resolver de manera directa, en estos casos se usan los métodos iterativos que ... -
On the local convergence and the dynamics of Chebyshev–Halley methods with six and eight order of convergence
(Journal of Computational and Applied Mathematics, 05/2016)We study the local convergence of Chebyshev–Halley methods with six and eight order of convergence to approximate a locally unique solution of a nonlinear equation. In Sharma (2015) (see Theorem 1, p. 121) the convergence ...
