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An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations

We develop a high-order fixed point type method to approximate a multiple root. By using three functional evaluations per full cycle, a new class of fourth-order methods for this purpose is suggested and established. The methods from the class require the knowledge of the multiplicity. We also prese...

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Detalles Bibliográficos
Autores principales: Soleymani, Fazlollah, Shateyi, Stanford, Özkum, Gülcan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3885317/
https://www.ncbi.nlm.nih.gov/pubmed/24453914
http://dx.doi.org/10.1155/2013/837243