Abstract
A family of simple derivative-free multipoint iterative methods, based on the interpolating polynomials, for solving nonlinear equations is presented. It is shown that the presented n-point iterative method has the convergence order 2 n 1 with n function evaluations per iteration. It is an optimal iterative method in the sense of the Kung-Traub’s conjecture. Numerical examples are included to support the result of theoretical convergence analysis and demonstrate eciency of the proposed method. Mathematics Subject Classication: 65H05
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