Results 141 to 150 of about 900 (183)

Extending the applicability of the local and semilocal convergence of Newton’s method

open access: yesApplied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K Argyros, A Alberto Magreñán
exaly   +3 more sources

Semilocal Convergence Theorem for a Newton-Like Method

open access: yesEast Asian Journal on Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Rong-Fei   +4 more
openaire   +3 more sources

On the semilocal convergence of damped Newton’s method

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K Argyros, Said Hilout
exaly   +3 more sources

A new semilocal convergence theorem of Müller’s method

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weihong Bi, Hongmin Ren, Qingbiao Wu
exaly   +3 more sources

An analysis of the semilocal convergence for secant-like methods

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J A Ezquerro, M A Hernández-Verón
exaly   +3 more sources

Semilocal convergence for Halley’s method under weak Lipschitz condition

Applied Mathematics and Computation, 2009
Let \(X,Y\) be Banach spaces, \(D\) be an open convex part of \(X\) and \(F:D\to Y\) be a continuous, twice Fréchet differentiable operator. The semilocal convergence of the Halley's method \[ x_{k+1}=x_k-(I-L_F(x_k))^{-1} F'(x_k)^{-1}F(x_k), \quad k\geq 0, \] towards the unique solution \(x^*\) of \(F(u)=0\) is established, under Lipschitz type ...
Xiubin Xu, Yonghui Ling
exaly   +2 more sources

Semilocal convergence of a sixth-order Jarratt method in Banach spaces

Numerical Algorithms, 2010
Let \(X\) and \(Y\) be Banach spaces and \(F:\Omega\subset X\rightarrow Y\) be a three times Fréchet differentiable operator on an open convex subset \(\Omega\), and \(x_0 \in \Omega\) that satisfies C1) \(\left\|\Gamma_0F(x_0)\right\|\leq\eta\), C2) \(\left\|\Gamma_0\right\|\leq\beta\), C3) \(\left\|F''(x)\right\|\leq M, \;x \in \Omega\), C4) \(\left\|
Jisheng Kou   +2 more
exaly   +2 more sources

Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2015
In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found.
Alicia Cordero   +2 more
exaly   +3 more sources

Home - About - Disclaimer - Privacy