Buscar
Mostrando ítems 61-70 de 82
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 ...
Study of a Biparametric Family of Iterative Methods
(Abstract and Applied Analysis, 2014)
The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the -iterative methods and the well-known Chebyshev-Halley family. We find the ...
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 ...
Decision model for siting transport and logistic facilities in urban environments: A methodological approach
(Journal of Computational and Applied Mathematics, 2016-01)
In this study, based on the use of a geographic information system (GIS), we define a decision model for determining the possible optimal locations of various facilities in an urban setting, which can be used by the transport ...
Optimizing the applicability of a theorem by F. Potra for Newton-like methods
(Applied Mathematics and Computation, 2014-09)
We present a new sufficient semilocal convergence conditions 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 ...
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
(Mathematics and Computers in Simulation, 2014-11)
The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...
A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative
(Numerical Algorithms, 2016-01)
We study the local convergence of Chebyshev-Halley-type 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 ...