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Design of high-order iterative methods for nonlinear systems by using weight-function procedure

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Design of high-order iterative methods for nonlinear systems by using weight-function procedure

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dc.contributor.author Artidiello Moreno, Santiago de Jesús es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Vassileva, M.P. es_ES
dc.date.accessioned 2016-05-23T07:24:38Z
dc.date.available 2016-05-23T07:24:38Z
dc.date.issued 2015
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/64558
dc.description.abstract We present two classes of iterative methods whose orders of convergence are four and five, respectively, for solving systems of nonlinear equations, by using the technique of weight functions in each step. Moreover, we show an extension to higher order, adding only one functional evaluation of the vectorial nonlinear function. We perform numerical tests to compare the proposed methods with other schemes in the literature and test their effectiveness on specific nonlinear problems. Moreover, some real basins of attraction are analyzed in order to check the relation between the order of convergence and the set of convergent starting points. es_ES
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Design of high-order iterative methods for nonlinear systems by using weight-function procedure es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2015/289029
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Artidiello Moreno, SDJ.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vassileva, M. (2015). Design of high-order iterative methods for nonlinear systems by using weight-function procedure. Abstract and Applied Analysis. 2015(289029):1-12. doi:10.1155/2015/289029 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2015/289029 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 12 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2015 es_ES
dc.description.issue 289029 es_ES
dc.relation.senia 296755 es_ES
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dc.description.references Sharma, J. R., & Gupta, P. (2014). An efficient fifth order method for solving systems of nonlinear equations. Computers & Mathematics with Applications, 67(3), 591-601. doi:10.1016/j.camwa.2013.12.004 es_ES
dc.description.references Cordero, A., Hueso, J. L., Martínez, E., & Torregrosa, J. R. (2009). A modified Newton-Jarratt’s composition. Numerical Algorithms, 55(1), 87-99. doi:10.1007/s11075-009-9359-z es_ES
dc.description.references Chicharro, F. I., Cordero, A., & Torregrosa, J. R. (2013). Drawing Dynamical and Parameters Planes of Iterative Families and Methods. The Scientific World Journal, 2013, 1-11. doi:10.1155/2013/780153 es_ES


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