Some new root-finding methods with eighth-order convergence

by Jisheng Kou, Xiuhua Wang, Shuyu Sun
Year: 2010


J. Kou, X. Wang, and S. Sun, “Some new root-finding methods with eighth-order convergence”, Bull. Math. Soc. Sci. Math. Roumanie, 53(101), No. 2, 133–143, 2010.


Some new eighth-order iterative methods are obtained by choosing the proper parameters in the general formula with some parameters. Besides, as in termediate 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


Non-linear equations Ostrowski’s method Root-finding Iter- ative method Efficiency