Listar por tema "local convergence"
Mostrando ítems 120 de 30

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 for Steffensentype fourthorder methods
(International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 2015)We present a local convergence analysis for a family of Steffensentype fourthorder methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier ... 
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 ... 
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 ... 
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 ... 
GaussNewton method
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)In this chapter we present the local convergence analysis of Gauss–Newton method using the idea of restricted convergence domains, which allows us to improve previous results. Finally, some special cases and a numerical ... 
Generalized equations
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)In this chapter we present some developments for the local convergence of Newton's method. Some special cases and a numerical example illuminating the theoretical results are also presented. 
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 and Semilocal convergence for Chebyshev two point like methods with applications in different fields
(Journal of Computational and Applied Mathematics, 2023)The convergence is developed for a large class of Chebyshevtwo pointlike methods for solving Banach space valued equations. Both the local as well as the semilocal convergence is provided for these methods under general ... 
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 comparison between frozen Kurchatov and Schmidt–Schwetlick–Kurchatov solvers with applications
(Journal of Computational and Applied Mathematics, 04/2022)In this work we are going to use the Kurchatov–Schmidt–Schwetlicklike solver (KSSLS) and the Kurchatovlike solver (KLS) to locate a zero, denoted by x∗ of operator F. We define F as F:D⊆B1⟶B2 where B1 and B2 stand for ... 
Local Convergence for an Improved Jarratttype Method in Banach Space
(International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 2015)We present a local convergence analysis for an improved Jarratttype methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are ... 
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 fourth and fifth order parametric family of iterative methods in Banach spaces
(Journal of Mathematical Chemistry, 01/2020)This paper deal with the study of local convergence of fourth and fifth order iterative method for solving nonlinear equations in Banach spaces. Only the premise that the first order Frechet derivative fulfills the Lipschitz ...