Modifying Kurchatov's method to find multiple roots of nonlinear
equations
- Juan Ramon Torregrosa,
- Alicia Cordero,
- Neus Garrido,
- Paula Triguero-Navarro
Paula Triguero-Navarro
Universitat Politecnica de Valencia
Author ProfileAbstract
In this work, we modify the iterative Kurchatov's method to solve
nonlinear equations with multiple roots, that is,for approximating the
solutions of multiplicity grater than one. Its main feature is that you
do not need to know a priori the multiplicity of the root, which does
not appear in the iterative expression. We perform a dynamical analysis
to see the behaviour of the proposed method. We also carry out some
numerical experiments to confirm the theoretical results and compare the
proposed method with other known schemes for multiple roots.