Listar por tema "banach space"
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A new technique for studying the convergence of Newton’s solver with real life applications
(Journal of Mathematical Chemistry, 04/2020)The convergence domain for both the local and semilocal case of Newton’s method for Banach space valued operators is small in general. There is a plethora of articles that have extended the convergence criterion due to ... 
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 ... 
Advances in the Semilocal Convergence of Newton's Method with RealWorld Applications
(Mathematics, 24/03/2019)The aim of this paper is to present a new semilocal convergence analysis for Newton's method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies ... 
Different methods for solving STEM problems
(Journal of Mathematical Chemistry, 05/2019)We first present a local convergence analysis for some families of fourth and six order methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Earlier studies have used ... 
Enlarging the convergence domain of secantlike methods for equations
(Taiwanese Journal of Mathematics, 04/2015)We present two new semilocal convergence analyses for secantlike 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 ... 
Expanding the aplicability of secant method with applications
(Bulletin of the Korean Mathematical Society, 05/2015)We present new sufficient convergence criteria for the convergence of the secantmethod to a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center Lipschitz instead of just ... 
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 ... 
Expanding the convergence domain for ChunStanicaNeta family of third order methods in banach spaces
(Journal of the Korean Mathematical Society, 01/2015)We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica. and Neta. These ... 
Extending the Applicability of Stirling's Method
(Mathematics, 01/2020)Stirling's method is considered as an alternative to Newton's method when the latter fails to converge to a solution of a nonlinear equation. Both methods converge quadratically under similar convergence criteria and require ... 
Extending the applicability of the local and semilocal convergence of Newton's method
(Applied Mathematics and Computation, 01/2017)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: ... 
Extending the convergence domain of Newton's method for twice Frechet differentiable operators
(Analysis and Applications, 03/2016)We present a semilocal convergence analysis of Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Using centerLipschitz condition on the first and the ... 
Extending the convergence domain of the Secant and Moser method in Banach Space
(Journal of Computational and Applied Mathematics, 12/2015)We present a new semilocal convergence analysis for the Secant and the Moser method in order to approximate a solution of an equation in a Banach space setting. Using the method of recurrent relations and weaker sufficient ... 
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 ... 
Improving the domain of parameters for Newton's method with applications
(Journal of Computational and Applied Mathematics, 07/2017)We present a new technique to improve the convergence domain for Newton’s method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton’s method are ... 
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 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 a relaxed twostep Newton like method with applications
(Journal of Mathematical Chemistry, 08/2017)We present a local convergence analysis for a relaxed twostep Newtonlike method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...