Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices

We construct a family of derivative-free optimal iterative methods without memory to approximate a simple zero of a nonlinear function. Error analysis demonstrates that the without-memory class has eighth-order convergence and is extendable to with-memory class. The extension of new family to the wi...

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Bibliographic Details
Main Authors: Alicia Cordero, Moin-ud-Din Junjua, Juan R. Torregrosa, Nusrat Yasmin, Fiza Zafar
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/8093673