Results 31 to 40 of about 677,232 (187)

Semilocal convergence of a family of iterative methods in Banach spaces [PDF]

Numerical Algorithms, 2013
This work has been supported by Ministerio de Ciencia e Innovaci´on MTM2011-28636-C02-02 and by Vicerrectorado de Investigaci´on.
José L. Hueso, Eulalia Martínez
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Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations [PDF]

, 2013
From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family
Ezquerro, J.A. [0000-0001-8120-167X], Grau-Sánchez, M., Hernández, M.A. [0000-0001-5478-2958], Noguera, M. [0000-0003-4629-6874], Ezquerro, J.A., Noguera, M., Hernández, M.A.   +6 more
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Auxiliary point on the semilocal convergence of Newton’s method

Journal of Computational and Applied Mathematics, 2019
We use an auxiliary point in the analysis of the semilocal convergence of Newton’smethod under center conditions on high order derivatives of the operator involved anduse the majorant principle of Kantorovich to do it.
J. A. Ezquerro, M. A. Hernández-Verón
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Extended sufficient semilocal convergence for the Secant method

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yeol Je Cho, Ioannis K. Argyros, Saïd Hilout   +2 more
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On a new semilocal convergence analysis for the Jarratt method [PDF]

Journal of Inequalities and Applications, 2013
AbstractWe develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient convergence conditions and tighter error bounds. Numerical examples are also provided in this study.MSC:65H10, 65G99, 65J15, 47H17, 49M15.
Argyros, Ioannis K, Cho, Yeol, Khattri, Sanjay   +2 more
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A general semilocal convergence result for Newton's method under centered conditions for the second derivative [PDF]

, 2012
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved.
Hernández, Miguel Ángel, González, D. [0000-0001-5282-7251], Ezquerro, José Antonio, Hernández, M. [0000-0001-5478-2958], José Antonio Ezquerro, Miguel Ángel Hernández, Ezquerro, J.A. [0000-0001-8120-167X], González, Daniel, Daniel González, Ezquerro, J.A., Hernández, M., González, D.   +11 more
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A semilocal convergence analysis for directional Newton methods [PDF]

Mathematics of Computation, 2010
A semilocal convergence analysis for directional Newton methods in n n -variables is provided in this study.
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On Newton's method for subanalytic equations

Journal of Numerical Analysis and Approximation Theory, 2017
We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24]
Ioannis K. Argyros, Santhosh George
doaj   +2 more sources

An Energy-Corrected Fast Post-SCF Local-Hybrid Scheme for Highly Accurate Energy Differences of Large Main-Group Systems. [PDF]

J Comput Chem
A post‐SCF energy‐corrected local‐hybrid scheme, EC(LH)@(m)GGA, is introduced, in which hyper‐meta‐GGA ingredients obtained from inexpensive meta‐GGA or GGA orbitals are used as input for a single local‐hybrid energy evaluation. Using LH25nP as a prototype, this strategy retains the characteristic accuracy and strong‐correlation improvement of the ...
Wodyński A, Kaupp M.
europepmc   +2 more sources

Convergence of a Family of Accelerated Schröder-like Methods for the Simultaneous Extraction of Simple and Multiple Polynomial Zeros

Axioms
In the present paper, we investigate the local and the semilocal convergence of a recently constructed family of accelerated simultaneous methods with two corrections applied to polynomials with simple and multiple zeros.
Ivan Ginchev, Stoil I. Ivanov, Boyan Zlatanov   +2 more
doaj   +1 more source