Listar por tema "local convergence"
Mostrando ítems 119 de 19

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 ChebyshevHalleytype 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 unified convergence analysis for secanttype methods
(Journal of the Korean Mathematical Society, 11/2014)We present a unified local and semilocal convergence analysis for secanttype methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes he computation ... 
Ball convergence of a sixthorder Newtonlike method based on means under weak conditions
(Journal of Mathematical Chemistry, 08/2018)We study the local convergence of a Newtonlike 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 ... 
Expanding the applicability of the Secant method under weaker conditions
(Applied Mathematics and Computation, 09/2015)We present a new semilocal convergence analysis for Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on ... 
Extended local convergence for some inexact methods with applications
(Journal of Mathematical Chemistry, 05/2019)We present local convergence results for inexact iterative procedures of high convergence order in a normed space in order to approximate a locally unique solution. The hypotheses involve only Lipschitz conditions on the ... 
Improved convergence analysis for Newtonlike methods
(Numerical Algorithms, 04/2016)We present a new semilocal convergence analysis for Newtonlike 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 ... 
Improved local convergence analysis of the GaussNewton method under a majorant condition
(Computational Optimization and Applications, 03/2015)We present a local convergence analysis of GaussNewton method for solving nonlinear least square problems. Using more precise majorant conditions than in earlier studies such as Chen (Comput Optim Appl 40:97118, 2008), ... 
Improved semilocal convergence analysis in Banach space with applications to chemistry
(Journal of Mathematical Chemistry, 2017)We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds ... 
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
(Journal of Mathematical Chemistry, 08/2016)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 ... 
Local convergence and the dynamics of a twopoint four parameter Jarrattlike method under weak conditions
(Numerical Algorithms, 02/2017)We present a local convergence analysis of a twopoint four parameter Jarrattlike method of high convergence order in order to approximate a locally unique solution of a nonlinear equation. In contrast to earlier studies ... 
Local Convergence and the Dynamics of a TwoStep NewtonLike Method
(International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 05/2016)We present the local convergence analysis and the study of the dynamics of a twostep Newtonlike method in order to approximate a locally unique solution of multiplicity one of a nonlinear equation. 
Local convergence for multipointparametric Chebyshev–Halleytype methods of high
(Journal of Computational and Applied Mathematics, 07/2015)We present a local convergence analysis for general multipointChebyshevHalleytype methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes ... 
Local Convergence of the GaussNewton Method for InfectiveOverdetermined Systems
(Journal of the Korean Mathematical Society, 09/2014)We present, under a weak majorant condition, a local convergence analysis for the GaussNewton method for injectiveoverdetermined systems of equations in a Hilbert space setting. Our results provide under the same information ... 
New improved convergence analysis for Newtonlike methods with applications
(Journal of Mathematical Chemistry, 08/2017)We present a new semilocal convergence analysis for Newtonlike methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases ... 
On the convergence of inexact twopoint Newtonlike methods on Banach spaces
(Applied Mathematics and Computation, 08/2015)We present a unified convergence analysis of Inexact Newton like methods in order to approximate a locally unique solution of a nonlinear operator equation containing a nondifferentiable term in a Banach space setting. The ... 
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 ... 
Relaxed secanttype methods
(Nonlinear Studies, 06/2014)We present a unified local and semilocal convergence analysis for secanttype methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation ... 
Study of a high order family: Local convergence and dynamics
(Mathematics, 01/03/2019)The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a ... 
Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space
(Mathematics, 05/2019)Under the hypotheses that a function and its Frechet derivative satisfy some generalized NewtonMysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...