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Several new third-order and fourth-order iterative methods for solving nonlinear equations. (English) Zbl 1334.65090

Summary: In order to find the zeros of nonlinear equations, in this paper, we propose a family of third-order and optimal fourth-order iterative methods. We have also obtained some particular cases of these methods. These methods are constructed through weight function concept. The multivariate case of these methods has also been discussed. The numerical results show that the proposed methods are more efficient than some existing third- and fourth-order methods.

MSC:

65H05 Numerical computation of solutions to single equations
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