Mostrando ítems 1-10 de 13
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions
(Numerical Algorithms, 2017-02)
We present a local convergence analysis of a two-point four parameter Jarratt-like method of high convergence order in order to approximate a locally unique solution of a nonlinear equation. In contrast to earlier studies ...
A biparametric extension of King’s fourth-order methods and their dynamics
(Applied Mathematics and Computation, 2016-05)
A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight ...
On the convergence of a higher order family of methods and its dynamics
(Journal of Computational and Applied Mathematics, 2017-01)
In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ...
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
(Journal of Mathematical Chemistry, 2016-08)
We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...
Extended convergence results for the Newton–Kantorovich iteration
(Journal of Computational and Applied Mathematics, 2015-10)
We present new semilocal and local convergence results for the Newton–Kantorovich method. These new results extend the applicability of the Newton–Kantorovich method on approximate zeros by improving the convergence domain ...
A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative
(Numerical Algorithms, 2016-01)
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 ...
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, 2015-02)
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 ...
Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high
(Journal of Computational and Applied Mathematics, 2015-07)
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes ...
Local Convergence and the Dynamics of a Two-Step Newton-Like Method
(International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2016-05)
We present the local convergence analysis and the study of the dynamics of a two-step Newton-like method in order to approximate a locally unique solution of multiplicity one of a nonlinear equation.
Decision model for siting transport and logistic facilities in urban environments: A methodological approach
(Journal of Computational and Applied Mathematics, 2016-01)
In this study, based on the use of a geographic information system (GIS), we define a decision model for determining the possible optimal locations of various facilities in an urban setting, which can be used by the transport ...