Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions

Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally...

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Detalles Bibliográficos
Autores principales: Zhao, Yueqing, Lin, Rongfei, Šmarda, Zdenek, Khan, Yasir, Chen, Jinbiao, Wu, Qingbiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4389983/
https://www.ncbi.nlm.nih.gov/pubmed/25884027
http://dx.doi.org/10.1155/2015/346571
Descripción
Sumario:Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem.

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