Work

Extended convergence of two-step iterative methods for solving equations with applications

Year: 2024

Type: article

Abstract: The convergence of two-step iterative methods of third and fourth order of convergence are studied under weaker hypotheses than in earlier works using our new idea of the restricted convergence region. This way, we obtain a finer semilocal and local convergence analysis, and under the same or weaker hypotheses. Hence, we extend the applicability of these methods in cases not covered before. Numerical examples are used to compare our results favorably to earlier ones.

Source: Journal of Numerical Analysis and Approximation Theory

DOI: 10.33993/jnaat532-1178

Authors: Ioannis K. Argyros, Santhosh George

Institutions: Cameron University, National Institute of Technology Karnataka

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405532421

FWCI:

Cites: 20

Cited by:

Related to: 10