Improving Three-point Iterative Methods for Solving Nonlinear Equations
نویسنده
چکیده
Abstract. In this article, we report on sixth-order and seventh-order iterative methods for solving nonlinear equations. In particular sixth-order derivative-based and derivative-free iterative families are constructed in such a way that they comprise a wide class of sixth-order methods which were developed in the past years. Weighting functions are introduced to enhance the algorithmic efficiency whereas an appropriate parametric combination gives weight-age flexibility in between those weighting functions. The usage of weighting factors and weighting functions define a wide class of iterative schemes for solving nonlinear equations. The freedom to construct different parametric combinations as well as different forms of weighting functions makes the iterative schemes more accurate and flexible, It means that one can easily modify the scheme by changing weight functions and parametric combination.
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