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- Title
On a sixth-order solver for multiple roots of nonlinear equations.
- Authors
Young Hee Geum
- Abstract
A number of iterative schemes with high convergence order to solve nonlinear equations are presented in the literature. In this paper, a sixth-order multiple-zero finder has been developed and the dynamics of selected iterative schemes with uniparametric polynomial weight function are investigated using Möbius conjugacy map applied to the form ((z-A)(z-B))m. The complex dynamics on the Riemann sphere by analyzing the parameter spaces associated with the free critical points are studied, and the numerical experiments are carried out.
- Subjects
NONLINEAR equations; PAINLEVE equations
- Publication
European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 2, p710
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v17i2.5029