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

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

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Hernandez Verón, MA.; Martínez Molada, E. (2015). On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions. Numerical Algorithms. 70(2):377-392. doi:10.1007/s11075-014-9952-7

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Title: On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions
Author: Hernandez Verón, Miguel Angel Martínez Molada, Eulalia
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[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 ...[+]
Subjects: Iterative methods , Nonlinear equations , Semilocal convergence , Mild convergence conditions. , Order of convergence , Hammerstein equation
Copyrigths: Cerrado
Source:
Numerical Algorithms. (issn: 1017-1398 ) (eissn: 1572-9265 )
DOI: 10.1007/s11075-014-9952-7
Publisher:
Springer Verlag (Germany)
Publisher version: https://dx.doi.org/10.1007/s11075-014-9952-7
Project ID:
Spanish Ministry of Science and Innovation MTM2011-28636-C02-01-{01,02}
Thanks:
This work was supported in part by the project MTM2011-28636-C02-01-{01,02} of the Spanish Ministry of Science and Innovation.
Type: Artículo

References

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Amat, S., Busquier, S., Bermúdez, C., Plaza, S.: On two families of high order Newton type methods. Appl. Math. Comput. 25, 2209–2217 (2012)

Argyros, I.K.: The Newton-Kantorovich method under mild differentiability conditions and the Pták error estimates. Monatsh. Math. 101, 175–193 (1990)

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