Buscar
Mostrando ítems 31-40 de 86
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 ...
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 ...
Stability analysis of a parametric family of iterative methods for solving nonlinear models
(Applied Mathematics and Computation, 2016-07)
A one-parametric family of fourth-order iterative methods for solving nonlinear systems is presented, proving the fourth-order of convergence of all members in this family, except one of them whose order is five. The methods ...
Improved convergence analysis for Newton-like methods
(Numerical Algorithms, 2016-04)
We present a new semilocal convergence analysis for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these methods in ...
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 ...
Stability study of eighth-order iterative methods for solving nonlinear equations
(Journal of Computational and Applied Mathematics, 2016-01)
In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to 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 ...
Third-degree anomalies of Traub's method
(Journal of Computational and Applied Mathematics, 2017-01)
Traub’s method is a tough competitor of Newton’s scheme for solving nonlinear equations as well as nonlinear systems. Due to its third-order convergence and its low computational cost, it is a good procedure to be applied ...
Extending the applicability of the local and semilocal convergence of Newton's method
(Applied Mathematics and Computation, 2017-01)
We present a local as well a semilocal convergence analysis for Newton's method in a Banach space setting. Using the same Lipschitz constants as in earlier studies, we extend the applicability of Newton's method as follows: ...
Enlarging the convergence domain of secant-like methods for equations
(Taiwanese Journal of Mathematics, 2015-04)
We present two new semilocal convergence analyses for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. These methods include the secant, Newton's ...