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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 204–211
(Mi zvmmf697)
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This article is cited in 2 scientific papers (total in 2 papers)
A note on the convergence of nonstationary finite-difference analogues
V. Hristova, A. I. Ilievb, N. V. Kyurkchieva a 1113 Bulgaria, Sofia, Acad. G. Bonchev Str., bl. 8,
Institute of Mathematics and Informatics, Bulgarian Academy of Science
b 4000 Bulgaria, Plovdiv, 24 Tsar Assen Str., University of Plovdiv, Faculty of Mathematics and Informatics
Abstract:
An efficient modification of a finite-difference analogue of Halley's method is proposed. An iterative procedure ensures that the approximations converge to the desired root of the nonlinear equation $f(x)=0$.
Key words:
numerical solution of nonlinear equations, iterative convergence method.
Received: 26.02.2004 Revised: 04.08.2004
Citation:
V. Hristov, A. I. Iliev, N. V. Kyurkchiev, “A note on the convergence of nonstationary finite-difference analogues”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 204–211; Comput. Math. Math. Phys., 45:2 (2005), 194–201
Linking options:
https://www.mathnet.ru/eng/zvmmf697 https://www.mathnet.ru/eng/zvmmf/v45/i2/p204
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Abstract page: | 211 | Full-text PDF : | 89 | References: | 36 | First page: | 1 |
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