Hueso Pagoaga, JL.; Martínez Molada, E.; Teruel, C. (2015). Derivative free iterative methods for nonlinear system. Applied Mathematics and Computation. 259:955-966. https://doi.org/10.1016/j.amc.2015.03.026
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/67785
Title:
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Derivative free iterative methods for nonlinear system
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Author:
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Hueso Pagoaga, José Luís
Martínez Molada, Eulalia
Teruel, Carles
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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] In this work we introduce a new operator of divided differences that preserves the convergence
order when it is used for approximating the Jacobian matrix in iterative method for
solving nonlinear systems. We obtain ...[+]
[EN] In this work we introduce a new operator of divided differences that preserves the convergence
order when it is used for approximating the Jacobian matrix in iterative method for
solving nonlinear systems. We obtain derivative free iterative methods with lower
computational cost than the corresponding ones with different operators of divided differences.
We also study the global convergence of these methods by analyzing their dynamical
behavior
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Subjects:
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Iterative methods
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Nonlinear systems
,
Divided differences.
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Convergence order
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Dynamical properties
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Copyrigths:
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Cerrado |
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.2015.03.026
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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.2015.03.026
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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/
info:eu-repo/grantAgreement/UPV//SP20120498/
info:eu-repo/grantAgreement/UPV//SP20120474/
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Thanks:
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This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-SP-2012-0498 and PAID-SP-2012-0474.
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Type:
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Artículo
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