文章基本信息

标题：Some multistep higher order iterative methods for non-linear equations
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作者：Nazir Ahmad Mir ; Naila Rafiq
期刊名称：Scientific Research and Essays
印刷版ISSN：1992-2248
出版年度：2014
卷号：9
期号：17
页码：752-757
DOI：10.5897/SRE2014.5997
语种：English
出版社：Academic Journals
摘要：We establish here new three and four-step iterative methods of convergence order seven and fourteen to find roots of non-linear equations. The new developed iterative methods are variants of Newton's method that use different approximations of first derivatives in terms of previously known function values, thus improving efficiency indices of the methods. The seventh and fourteenth order iterative methods use four and five function values including one derivative of a function. So, the efficiency indices of these methods are , respectively. Numerical examples are given to show the performance of described methods.
关键词：Non-linear equation; Iterative methods; convergence order; efficiency index