- -

Two optimal general classes of iterative methods with eighth-order

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Two optimal general classes of iterative methods with eighth-order

Mostrar el registro sencillo del ítem

Ficheros en el ítem

[Cerrado]
Nombre: Torregrosa;Corder ...
Tamaño: 2.042Mb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Lotfi, Taher es_ES
dc.contributor.author Mahdiani, Katayoun es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2015-09-17T14:17:40Z
dc.date.available 2015-09-17T14:17:40Z
dc.date.issued 2014-12
dc.identifier.issn 0167-8019
dc.identifier.uri http://hdl.handle.net/10251/54768
dc.description.abstract Two new three-step classes of optimal iterative methods to approximate simple roots of nonlinear equations, satisfying the Kung-Traub's conjecture, are designed. The development of the methods and their convergence analysis are provided joint with a generalization of both processes. In order to check the goodness of the theoretical results, some concrete methods are extracted and numerical and dynamically compared with some known methods. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Acta Applicandae Mathematicae es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Multipoint iterative method es_ES
dc.subject Nonlinear equation es_ES
dc.subject Optimal order es_ES
dc.subject Kung-Traub's conjecture es_ES
dc.subject Kung-Traub's method es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Two optimal general classes of iterative methods with eighth-order es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10440-014-9869-0
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Cordero Barbero, A.; Lotfi, T.; Mahdiani, K.; Torregrosa Sánchez, JR. (2014). Two optimal general classes of iterative methods with eighth-order. Acta Applicandae Mathematicae. 134(1):61-74. https://doi.org/10.1007/s10440-014-9869-0 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s10440-014-9869-0 es_ES
dc.description.upvformatpinicio 61 es_ES
dc.description.upvformatpfin 74 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 134 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 282659
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.description.references Higham, N.J.: Funstions of Matrices: Theory and Computation. SIAM, Philadelphia (2008) es_ES
dc.description.references Chun, C., Kim, Y.: Several new third-order iterative methods for solving nonlinear equations. Acta Appl. Math. 109(3), 1053–1063 (2010) es_ES
dc.description.references Cordero, A., Torregrosa, J.R.: Variants of Newton’s method using fifth-order quadrature formulas. Appl. Math. Comput. 190, 686–698 (2007) es_ES
dc.description.references Cordero, A., Hueso, J.L., Martínez, E., Torregrosa, J.R.: A family of iterative methods with sixth and seventh order convergence for nonlinear equations. Math. Comput. Model. 52, 1490–1496 (2010) es_ES
dc.description.references Weerakoon, S., Fernando, T.G.I.: A variant of Newton’s method with accelerated third-order convergence. Appl. Math. Lett. 13(8), 87–93 (2000) es_ES
dc.description.references Wang, H., Liu, H.: Note on a cubically convergent Newton-type method under weak conditions. Acta Appl. Math. 110(2), 725–735 (2010) es_ES
dc.description.references Ostrowski, A.M.: Solution of Equations and Systems of Equations. Prentice-Hall, Englewood Cliffs (1964) es_ES
dc.description.references Kung, H.T., Traub, J.F.: Optimal order of one-point and multi-point iteration. J. Assoc. Comput. Math. 21, 643–651 (1974) es_ES
dc.description.references Petković, M.S., Neta, B., Petković, L.D., Dz̆nić, J.: Multipoint Methods for Solving Nonlinear Equations. Elsevier, Amsterdam (2013) es_ES
dc.description.references Petković, M.S., Petković, L.D.: Families of optimal multipoint methods for solving polynomial equations. Appl. Anal. Discrete Math. 4, 1–22 (2010) es_ES
dc.description.references Soleymani, F.: Two novel classes of two-step optimal methods for all the zeros in an interval. Afr. Math. (2012). doi: 10.1007/s13370-012-0112-8 es_ES
dc.description.references Džunić, J., Petković, M.S., Petković, L.D.: A family of optimal three-point methods for solving nonlinear equations using two parametric functions. Appl. Math. Comput. 217(19), 7612–7619 (2011) es_ES
dc.description.references Thukral, R., Petković, M.S.: A family of three-point methods of optimal order for solving nonlinear equation. J. Comput. Appl. Math. 233(9), 2278–2284 (2010) es_ES
dc.description.references Obrechkoff, N.: Sur la solution numeriue des equations. God. Sofij. Univ. 56(1), 73–83 (1963) es_ES
dc.description.references Jarratt, P.: Some fourth order multipoint iterative methods for solving equations. Math. Comput. 20, 434–437 (1966) es_ES
dc.description.references Petković, M.S.: Multipoint methods for solving nonlinear equations: a survey. Appl. Math. Comput. 226, 635–660 (2014) es_ES
dc.description.references Džunić, J., Petković, M.S.: A family of three-point methods of Ostrowski’s type for solving nonlinear equations. J. Appl. Math. 2012, 425867 (2012) es_ES
dc.description.references Soleymani, F., Vanani, S.K., Afghani, A.: A general three-step class of optimal iterations for nonlinear equations. Math. Probl. Eng. 2011, 469512 (2011). 10 pp. es_ES
dc.description.references Geum, Y.H., Kim, Y.I.: A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots. Appl. Math. Lett. 24, 929–935 (2011) es_ES
dc.description.references Geum, Y.H., Kim, Y.I.: A biparametric family of eighth-order methods with their third-step weighting function decomposed into a one-variable linear fraction and a two-variable generic function. Comput. Math. Appl. 61, 708–714 (2011) es_ES
dc.description.references Jay, I.O.: A note on Q-order of convergence. BIT Numer. Math. 41, 422–429 (2001) es_ES
dc.description.references Chicharro, F., Cordero, A., Torregrosa, J.R.: Drawing dynamical and parameters planes of iterative families and methods. Sci. World J. 2013, 780153 (2013). 11 pp. es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem