[EN] In this manuscript, we propose a new highly efficient and optimal scheme of order sixteen for obtaining simple roots of nonlinear equations. The derivation of this scheme is based on the rational approximation approach. ...
[EN] There is a very small number of higher-order iteration functions for multiple zeros whose order of convergence is greater than four. Some scholars have tried to propose optimal eighth-order methods for multiple zeros. ...
[EN] There are few optimal fourth-order methods for solving nonlinear equations when the multiplicity m of the required root is known in advance. Therefore, the principle focus of this paper is on developing a new fourth-order ...
[EN] In this paper, we propose a general class of fourth-order optimal multi-point methods without
memory for obtaining simple roots. This class requires only three functional evaluations (viz.
two evaluations of function ...
[EN] There is a few number of optimal fourth-order iterative methods for obtaining the multiple roots of nonlinear equations. But, in most of the earlier studies, scholars gave the flexibility in their proposed schemes ...
[EN] There are several problems of pure and applied science which can be studied in the unified
framework of the scalar and vectorial nonlinear equations. In this paper, we propose a
sixth-order family of Jarratt type ...