A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros
نویسندگان
چکیده
We develop a family of fourth-order iterative methods using the weighted harmonic mean of two derivative functions to compute approximatemultiple roots of nonlinear equations.They are proved to be optimally convergent in the sense of Kung-Traub’s optimal order. Numerical experiments for various test equations confirm well the validity of convergence and asymptotic error constants for the developed methods.
منابع مشابه
New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013