A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

A Bahl, A Cordero, R Sharma, JR Torregrosa - Applied Mathematics and …, 2019 - Elsevier
In this paper, we propose a general bi-parametric family of sixth order iterative methods to
solve systems of nonlinear equations. The presented scheme contains some well known …

Study of a biparametric family of iterative methods

B Campos, A Cordero, ÁA Magreñán… - Abstract and Applied …, 2014 - Wiley Online Library
The dynamics of a biparametric family for solving nonlinear equations is studied on
quadratic polynomials. This biparametric family includes the c‐iterative methods and the …

Dynamics of the modified Halley's method

R Cadenas, E Carlos - International Journal of Nonlinear …, 2023 - ijnaa.semnan.ac.ir
In this work, the dynamics of the Modified Halley's method to multiple roots are established.
We find the fixed and critical points. The stable and unstable behaviors are studied. The …

Behaviour of fixed and critical points of the α, c-family of iterative methods

B Campos, A Cordero, JR Torregrosa… - Journal of Mathematical …, 2015 - Springer
In this paper we study the dynamical behavior of the (α, c)(α, c)-family of iterative methods for
solving nonlinear equations, when we apply the fixed point operator associated to this family …

[PDF][PDF] Research Article Study of a Biparametric Family of Iterative Methods

The dynamics of a biparametric family for solving nonlinear equations is studied on
quadratic polynomials. This biparametric family includes the 𝑐-iterative methods and the …