Jisheng Kou, Xiuhua Wang and Shuyu Sun: Some new root-finding methods with eighth-order convergence, p.133-143

Abstract:

Some new eighth-order iterative methods are obtained by choosing the proper parameters in the general formula with some parameters. Besides, as intermediate results, we get also different families of methods with convergence order five, six and seven. Numerical tests show the superiority of the new eighth-order methods.

Key Words: Non-linear equations, Ostrowski's method, Root-finding, Iterative method, Efficiency

2000 Mathematics Subject Classification: Primary: 65H05,
Secondary: 65H10, 49M15.

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