Results 141 to 150 of about 649,766 (178)

Semilocal Convergence Theorem for a Newton-Like Method

East Asian Journal on Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Rong-Fei, Wu, Qing-Biao, Chen, Min-Hong, Liu, Lu, Dai, Ping-Fei   +4 more
openaire   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

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   +4 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.
Qingbiao Wu, Hongmin Ren, Weihong Bi
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.
M A Hernández-Verón, J A Ezquerro
exaly   +4 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\|
Chuanqing Gu, Jisheng Kou
exaly   +3 more sources

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

Journal 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.
Natalia Romero, Alicia Cordero, Juan R Torregrosa   +2 more
exaly   +3 more sources

Local and Semilocal Convergence of Nourein’s Iterative Method for Finding All Zeros of a Polynomial Simultaneously

Symmetry, 2020
In 1977, Nourein (Intern. J. Comput. Math. 6:3, 1977) constructed a fourth-order iterative method for finding all zeros of a polynomial simultaneously.
Petko D Proinov, Maria Vasileva
exaly   +2 more sources

On the semilocal convergence behavior for Halley’s method

Computational Optimization and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghui Ling, Xiubin Xu
openaire   +2 more sources

On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

Numerical Algorithms, 2015
[EN] In this paper the semilocal convergence for an alternative to the three steps Newton's method with frozen derivative is presented. We analyze the generalization of convergence conditions given by w-conditioned non-decreasing functions instead of the
M A Hernández-Verón, Eulalia Martinez
exaly   +2 more sources