Results 151 to 160 of about 900 (183)
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 +2 more
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On the semilocal convergence behavior for Halley’s method
Computational Optimization and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghui Ling, Xiubin Xu
openaire +1 more source
Semilocal convergence for the Super-Halley’s method
Numerical Analysis and Applications, 2014Summary: The semilocal convergence of the super-Halley's method for solving nonlinear equations in Banach spaces is established under the assumption that the second Fréchet derivative satisfies the \(\omega\)-continuity condition. This condition is milder than the well-known Lipschitz and Hölder continuity conditions. The importance of our work lies in
Prashanth, Maroju +2 more
openaire +1 more source
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 +2 more
exaly +2 more sources
On semilocal convergence of two step Kurchatov method
International Journal of Computer Mathematics, 2018In this article we present a new semilocal convergence analysis for the two step Kurchatov method by using recurrence relations under Lipschitz type conditions on first-order divided difference ope...
Himanshu Kumar, Pradip Kumar Parida 0001
openaire +1 more source
New semilocal and local convergence analysis for the Secant method
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ángel Alberto Magreñán +1 more
openaire +1 more source
Semilocal convergence of a continuation method in Banach spaces
Numerical Analysis and Applications, 2017Summary: This paper is concerned with the semilocal convergence of a continuation method between two third-order iterative methods, namely, the Halley's and the convex acceleration of Newton's method, also known as the Super-Halley's method. This convergence analysis is discussed using the recurrence relations approach.
Prashanth, Maroju, Motsa, Sandile
openaire +3 more sources
ON THE SEMILOCAL CONVERGENCE OF NEWTON'S METHOD FOR SECTIONS ON RIEMANNIAN MANIFOLDS
Asian-European Journal of Mathematics, 2014We present a semilocal convergence analysis of Newton's method for sections on Riemannian manifolds. Using the notion of a 2-piece L-average Lipschitz condition introduced in [C. Li and J. H. Wang, Newton's method for sections on Riemannian manifolds: Generalized covariant α-theory, J.
Argyros, Ioannis K., George, Santhosh
openaire +2 more sources
SEMILOCAL CONVERGENCE OF A STIRLING-LIKE METHOD IN BANACH SPACES
International Journal of Computational Methods, 2010The aim of this paper is to establish the semilocal convergence of a third order Stirling–like method employed for solving nonlinear equations in Banach spaces by using the first Fréchet derivative, which satisfies the Lipschitz continuity condition.
Parhi, S. K., Gupta, D. K.
openaire +2 more sources
Semilocal convergence of a sixth-order method in Banach spaces
Numerical Algorithms, 2012The paper deals with the approximate solution of a nonlinear equation \(F(x)= 0\), where \(F\) is a mapping of a convex set \(\Omega\) of a Banach space \(X\) in a Banach space \(Y\). It is assumed that \(F\) is Fréchet-differentiable of order 3. To solve the equation numerically we know Newton's method, Chebyshev's method, Halley's method, Newton ...
Lin Zheng 0006, Chuanqing Gu
openaire +1 more source