Efficient families of multi-point iterative methods and their self-acceleration with memory for solving nonlinear equations
In this paper, we have constructed new families of derivative-free three-and four-parametric
methods with and without memory for finding the roots of nonlinear equations. Error analysis …
methods with and without memory for finding the roots of nonlinear equations. Error analysis …
On the choice of the best members of the Kim family and the improvement of its convergence
FI Chicharro Lopez, A Cordero… - … Methods in the …, 2020 - Wiley Online Library
The best members of the Kim family, in terms of stability, are obtained by using complex
dynamics. From this elements, parametric iterative methods with memory are designed. A …
dynamics. From this elements, parametric iterative methods with memory are designed. A …
Extension of King's iterative scheme by means of memory for nonlinear equations
We developed a new family of optimal eighth-order derivative-free iterative methods for
finding simple roots of nonlinear equations based on King's scheme and Lagrange …
finding simple roots of nonlinear equations based on King's scheme and Lagrange …
[HTML][HTML] Dynamics of iterative families with memory based on weight functions procedure
In this paper, we analyze the stability of a parametric family of iterative methods with memory
for solving nonlinear equations. This family is obtained from an optimal class of fourth-order …
for solving nonlinear equations. This family is obtained from an optimal class of fourth-order …
Efficient Four‐Parametric with‐and‐without‐Memory Iterative Methods Possessing High Efficiency Indices
We construct a family of derivative‐free optimal iterative methods without memory to
approximate a simple zero of a nonlinear function. Error analysis demonstrates that the …
approximate a simple zero of a nonlinear function. Error analysis demonstrates that the …
Dynamical techniques for analyzing iterative schemes with memory
We construct a new biparametric three‐point method with memory to highly improve the
computational efficiency of its original partner, without adding functional evaluations. In this …
computational efficiency of its original partner, without adding functional evaluations. In this …
Using matrix eigenvalues to construct an iterative method with the highest possible efficiency index two
In this paper, we first derive a family of iterative schemes with fourth order. A weight function
is used to maintain its optimality. Then, we transform it into methods with several self …
is used to maintain its optimality. Then, we transform it into methods with several self …
New Derivative-Free Families of Four-Parametric with and Without Memory Iterative Methods for Nonlinear Equations
In this paper, we develop new derivative-free four-parametric families of with and without
memory iterative methods for determining the roots of nonlinear equations. The family of …
memory iterative methods for determining the roots of nonlinear equations. The family of …
Families of optimal derivative-free two-and three-point iterative methods for solving nonlinear equations
T Zhanlav, K Otgondorj, O Chuluunbaatar - … Mathematics and Mathematical …, 2019 - Springer
Necessary and sufficient conditions for derivative-free two-and three-point iterative methods
to have the optimal convergence order are obtained. These conditions can be effectively …
to have the optimal convergence order are obtained. These conditions can be effectively …
[PDF][PDF] uD; Altaf, S.; Kumar, S. Extension of King's Iterative Scheme by Means of Memory for Nonlinear Equations. Symmetry 2023, 15, 1116
We developed a new family of optimal eighth-order derivative-free iterative methods for
finding simple roots of nonlinear equations based on King's scheme and Lagrange …
finding simple roots of nonlinear equations based on King's scheme and Lagrange …