Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)

In the paper we study a combined differential-difference method for solving nonlinear equations with non-differentiable operator. The semilocal convergence of the method is investigated and the order of convergence is established.

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Main Authors: S. M. Shakhno, H. P. Yarmola
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2011-11-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/texts/2011/36_2/213-220.pdf
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author S. M. Shakhno
H. P. Yarmola
author_facet S. M. Shakhno
H. P. Yarmola
author_sort S. M. Shakhno
collection DOAJ
description In the paper we study a combined differential-difference method for solving nonlinear equations with non-differentiable operator. The semilocal convergence of the method is investigated and the order of convergence is established.
format Article
id doaj-art-2eaa1545ce734e0fa1890623746ccea2
institution DOAJ
issn 1027-4634
language deu
publishDate 2011-11-01
publisher Ivan Franko National University of Lviv
record_format Article
series Математичні Студії
spelling doaj-art-2eaa1545ce734e0fa1890623746ccea22025-08-20T02:53:08ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342011-11-01362213220Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)S. M. ShakhnoH. P. YarmolaIn the paper we study a combined differential-difference method for solving nonlinear equations with non-differentiable operator. The semilocal convergence of the method is investigated and the order of convergence is established.http://matstud.org.ua/texts/2011/36_2/213-220.pdfnonlinear equationdifferential-difference methodsemilocal convergencenon-differentiable operator
spellingShingle S. M. Shakhno
H. P. Yarmola
Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
Математичні Студії
nonlinear equation
differential-difference method
semilocal convergence
non-differentiable operator
title Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
title_full Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
title_fullStr Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
title_full_unstemmed Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
title_short Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
title_sort two point method for solving nonlinear equation with nondifferentiable operator in ukrainian
topic nonlinear equation
differential-difference method
semilocal convergence
non-differentiable operator
url http://matstud.org.ua/texts/2011/36_2/213-220.pdf
work_keys_str_mv AT smshakhno twopointmethodforsolvingnonlinearequationwithnondifferentiableoperatorinukrainian
AT hpyarmola twopointmethodforsolvingnonlinearequationwithnondifferentiableoperatorinukrainian