Listar por tema "efficiency index"
Mostrando ítems 1-3 de 3
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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 variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: Dynamic study and approach
(Applied Mathematics and Computation, 02/2015)First, it is attempted to derive an optimal derivative-free Steffensen-King's type family without memory for computing a simple zero of a nonlinear function with efficiency index 4(1/3) approximate to 1.587. Next, since ... -
Ball convergence of a sixth-order Newton-like method based on means under weak conditions
(Journal of Mathematical Chemistry, 08/2018)We study the local convergence of a Newton-like method of convergence order six to approximate a locally unique solution of a nonlinear equation. Earlier studies show convergence under hypotheses on the seventh derivative ...
