Buscar
Mostrando ítems 31-40 de 2762
Extended convergence results for the Newton–Kantorovich iteration
We present new semilocal and local convergence results for the Newton–Kantorovich method. These new results extend the applicability of the Newton–Kantorovich method on approximate zeros by improving the convergence domain ...
Study of local convergence and dynamics of a king-like two-step method with applications
In this paper, we present the local results of the convergence of the two-step King-like method to approximate the solution of nonlinear equations. In this study, we only apply conditions to the first derivative, because ...
Ball convergence of a sixth-order Newton-like method based on means under weak conditions
We study the local convergence of a Newton-like 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 ...
ON THE LOCAL CONVERGENCE OF A TWO-STEP STEFFENSEN-TYPE METHOD FOR SOLVING GENERALIZED EQUATIONS
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
Extended local convergence for some inexact methods with applications
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 ...
Peru's Regional Growth and Convergence in 1979-2017: An Empirical Spatial Panel Data Analysis
(Pontificia Universidad Católica del Perú. Departamento de EconomíaPE, 2021)
Improved local convergence analysis of the Gauss-Newton method under a majorant condition
We present a local convergence analysis of Gauss-Newton method for solving nonlinear least square problems. Using more precise majorant conditions than in earlier studies such as Chen (Comput Optim Appl 40:97-118, 2008), ...
Expanding the applicability of the Secant method under weaker conditions
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 ...
Convergence of Newton's method under Vertgeim conditions: new extensions using restricted convergence domains
We present new sufficient convergence conditions for the semilocal convergence of Newton’s method to a locally unique solution of a nonlinear equation in a Banach space. We use Hölder and center Hölder conditions, instead ...
Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space
Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...