A new two-step biparametric family of sixth-order iterative methods free from second derivatives for solving nonlinear algebraic equations |
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| Authors: | Young Ik Kim |
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| Affiliation: | Department of Applied Mathematics, Dankook University, Cheonan 330-714, Republic of Korea |
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| Abstract: | In this paper, a new two-step biparametric family of sixth-order iterative methods free from second derivatives are proposed in this paper to find a simple root of a nonlinear algebraic equation. Their efficiency indices are all found to be 61/4. Convergence analysis together with numerical experiments confirms sixth-order convergence and asymptotic error constants. |
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| Keywords: | Sixth-order convergence Efficiency index Biparametric family Asymptotic error constant |
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