The theory and applications of Iteration Methods is a very fast-developing field of numerical
analysis and computer methods. The second edition is completely updated and continues to …

For solving non-linear equations, iterative root-finding methods are important because of the
broad range of applications in science and engineering. We have constructed an iterative …

Based on well‐known fourth‐order Ostrowski's method, we proposed many new interesting
optimal families of eighth‐order multipoint methods without memory for obtaining simple …

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 …

In this paper, we present many new fourth-order optimal families of Jarratt's method and
Ostrowski's method for computing simple roots of nonlinear equations numerically. The …

Grossman and Katz (five decades ago) suggested a new definition of differential and
integral calculus which utilizes the multiplicative and division operator as compared to …

We present another simple way of deriving several iterative methods for solving nonlinear
equations numerically. The presented approach of deriving these methods is based on …

The amount of data has skyrocketed in Fifth-generation (5G) networks. How to select an
appropriate node to transmit information is important when we analyze complex data in 5G …

Construction of two-point sixth-order methods for simple root is an ambitious and
challenging task in numerical analysis. Therefore, the main aim of this paper is to introduce …

In this paper, we present several new fourth-order optimal schemes that do not require any
derivative evaluation for solving nonlinear equations, numerically. The presented approach …