A fractional Newton method with 2 alpha th-order of convergence and its stability

Akgül, Alí; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón

doi:10.1016/j.aml.2019.06.028

A fractional Newton method with 2 alpha th-order of convergence and its stability

Archivos

Akgül;Cordero;Torregrosa - A fractional Newton method with 2 alpha th-order of convergence and it....pdf (1.03 MB)

Fecha

2019-12

Autores

Akgül, Alí

Cordero Barbero, Alicia

Torregrosa Sánchez, Juan Ramón

Unidades organizativas

Escuela Técnica Superior de Ingeniería de Telecomunicación

Departamento de Matemática Aplicada

Instituto Universitario de Matemática Multidisciplinar

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Handle

https://riunet.upv.es/handle/10251/146178

Cita bibliográfica

Akgül, A.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2019). A fractional Newton method with 2 alpha th-order of convergence and its stability. Applied Mathematics Letters. 98:344-351. https://doi.org/10.1016/j.aml.2019.06.028

Resumen

[EN] The use of fractional calculus in many branches of Science and Engineering is wide in the last years. There are different kinds of derivatives that can be useful in different problems. In this manuscript, we put the focus in the effect of this kind of fractional derivatives in the search of roots of nonlinear equations and its dependence on the initial estimations. (C) 2019 Elsevier Ltd. All rights reserved.