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On the convergence of a damped Newton-like method with modified right hand side vector
(Applied Mathematics and Computation, 2015-09)
We present a convergence analysis for a damped Newton like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ...
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 ...
Expanding the applicability of the Secant method under weaker conditions
(Applied Mathematics and Computation, 2015-09)
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 ...
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 ...
On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal mth root of a function-to function ratio
(Applied Mathematics and Computation, 2017-12)
Under the assumption of known root multiplicity m is an element of N, a triparametric family of two-point optimal quartic-order methods locating multiple zeros are investigated in this paper by introducing a weight function ...
Extending the convergence domain of Newton's method for twice Frechet differentiable operators
(Analysis and Applications, 2016-03)
We present a semi-local convergence analysis of Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Using center-Lipschitz condition on the first and the ...
On the convergence of a Damped Secant method with modified right-hand side vector
(Applied Mathematics and Computation, 2015-02)
We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ...
Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems
(Applied Mathematics and Computation, 2014-08)
We present a local convergence analysis of the proximal Gauss-Newton method for solving penalized nonlinear least squares problems in a Hilbert space setting. Using more precise majorant conditions than in earlier studies ...
Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems
(Journal of the Korean Mathematical Society, 2014-09)
We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information ...
Extending the convergence domain of the Secant and Moser method in Banach Space
(Journal of Computational and Applied Mathematics, 2015-12)
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 ...