دورية أكاديمية
Behavior of fixed and critical points of the (alpha,c)-family of iterative methods
| العنوان: | Behavior of fixed and critical points of the (alpha,c)-family of iterative methods |
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| المؤلفون: | Campos, B., Cordero Barbero, Alicia, Torregrosa Sánchez, Juan Ramón, P. Vindel |
| المساهمون: | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Ministerio de Ciencia e Innovación, Universitat Politècnica de València, Universitat Jaume I |
| بيانات النشر: | Springer Verlag (Germany) |
| سنة النشر: | 2015 |
| المجموعة: | Universitat Politécnica de Valencia: RiuNet / Politechnical University of Valencia |
| مصطلحات موضوعية: | Nonlinear equations, Iterative methods, Dynamics of rational functions, Parameter planes, MATEMATICA APLICADA |
| الوصف: | In this paper we study the dynamical behavior of the -family of iterative methods for solving nonlinear equations, when we apply the fixed point operator associated to this family on quadratic polynomials. This is a family of third-order iterative root-finding methods depending on two parameters; so, as we show throughout this paper, its dynamics is really interesting, but complicated. In fact, we have found in the real -plane a line in which the corresponding elements of the family have a lower number of free critical points. As this number is directly related with the quantity of basins of attraction, it is probable to find more stable behavior between the elements of the family in this region. ; Supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02. The first and fourth authors were also partially supported by P11B2011-30 (Universitat Jaume I), the second and third authors were also partially supported by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia SP20120474. ; Campos, B.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; P. Vindel (2015). Behavior of fixed and critical points of the (alpha,c)-family of iterative methods. Journal of Mathematical Chemistry. 53(3):807-827. https://doi.org/10.1007/s10910-014-0465-3Test ; S ; 807 ; 827 ; 53 ; 3 ; A.F. Beardon, Iteration of Rational Functions, Graduate Texts in Mathematics, vol. 132 (Springer, New York, 1991) ; B. Campos, A. Cordero, A. Magreñan, J.R. Torregrosa, P. Vindel, Study of a bi-parametric family of iterative methods, Abstra. Appl. Anal. (2014). doi:10.1155/2014/141643 ; B. Campos, A. Cordero, A. Magreñan, J.R. Torregrosa, P. Vindel, Bifurcations of the roots of a 6-degree symmetric polynomial coming from the fixed point operator of a class of iterative methods. in Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE, ed. by J. Vigo-Aguiar (2014), pp. 253–264 ; B. Campos, A. Cordero, J.R. Torregrosa, P. Vindel, Dynamics of the family of c-iterative ... |
| نوع الوثيقة: | article in journal/newspaper conference object |
| اللغة: | English |
| تدمد: | 0259-9791 |
| العلاقة: | Journal of Mathematical Chemistry; 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/UJI//P1·1B2011-30/; info:eu-repo/grantAgreement/UPV//SP20120474/; 14th International Conference of Computational and Mathematical Methods in Science and Engineering (CMMSE); JUL 03-07, 2014; Rota, Spain; http://dx.doi.org/10.1007/s10910-014-0465-3Test; urn:issn:0259-9791; http://hdl.handle.net/10251/66291Test |
| DOI: | 10.1007/s10910-014-0465-3 |
| الإتاحة: | https://doi.org/10.1007/s10910-014-0465-3Test http://hdl.handle.net/10251/66291Test |
| حقوق: | http://rightsstatements.org/vocab/InC/1.0Test/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.31F95048 |
| قاعدة البيانات: | BASE |
| تدمد: | 02599791 |
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| DOI: | 10.1007/s10910-014-0465-3 |