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Some eighth-order root-finding three-step methods

delete2010-03-01
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J
Jisheng Kou *
王秀华 封面图
王秀华 (Xiuhua Wang)
Y
Yitian Li
DOI:10.1016/j.cnsns.2009.04.013delete
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摘要

摘要

En 中文
In this paper, we present an improvement of the local order of convergence to increase the efficiency of some fourth-order iterative methods and the order can be improved from four to eight. Per iteration the present methods require three evaluations of the function and one evaluation of its first derivative and therefore have the efficiency index equal to 1.682. Numerical tests verifying the theory are given. (C) 2009 Elsevier B.V. All rights reserved.
Keyword:
Non-linear equations
Ostrowski's method
Newton's method
Root-finding
Iterative method
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期刊

Communications in Nonlinear Science and Numerical Simulation 封面图
Communications in Nonlinear Science and Numerical Simulation
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被引数:
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shanghai university
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论文数: 2.7W
被引数: 52
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wuhan university
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论文数: 5.8W
被引数: 70
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