Title of article
A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index
Author/Authors
Geum، نويسنده , , Young Hee and Kim، نويسنده , , Young Ik، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
1336
To page
1342
Abstract
A biparametric family of four-step multipoint iterative methods of order sixteen to solve nonlinear equations are developed and their convergence properties are established. The optimal efficiency indices are all found to be 1 6 1 / 5 ≈ 1.741101 . Numerical examples as well as comparison with existing methods are demonstrated to verify the developed theory.
Keywords
Efficiency index , Eighth-order , Sixteenth-order , Asymptotic error constant , Optimal order , Biparametric family
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1527950
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