Budzko, D.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2015). A new family of iterative methods widening areas of convergence. Applied Mathematics and Computation. 252:405-417. https://doi.org/10.1016/j.amc.2014.12.028
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/64692
Title:
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A new family of iterative methods widening areas of convergence
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Author:
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Budzko, Dzmitry
Cordero Barbero, Alicia
Torregrosa Sánchez, Juan Ramón
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] A new parametric class of third-order iterative methods for solving nonlinear equations
and systems is presented. These schemes are showed to be more stable than Newton’,
Traub’ or Ostrowski’s procedures (in some ...[+]
[EN] A new parametric class of third-order iterative methods for solving nonlinear equations
and systems is presented. These schemes are showed to be more stable than Newton’,
Traub’ or Ostrowski’s procedures (in some specific cases), and it has been proved that
the set of starting points that converge to the roots of different nonlinear functions is wider
than the one of those respective methods. Moreover, the numerical efficiency has been
checked through different numerical tests.
[-]
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Subjects:
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Nonlinear systems
,
Iterative methods
,
Basin of attraction
,
Dynamical plane
,
Convergence domain
,
Order of convergence
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Applied Mathematics and Computation. (issn:
0096-3003
) (eissn:
1873-5649
)
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DOI:
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10.1016/j.amc.2014.12.028
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Publisher:
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Elsevier
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Publisher version:
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https://dx.doi.org/10.1016/j.amc.2014.12.028
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/
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Thanks:
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The project has been funded with support from European Commission. This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02.
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Type:
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Artículo
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