- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 2
- On an iterative method without inverses of derivatives for solving equations
On an iterative method without inverses of derivatives for solving equations
Authors : Santhosh George, I. K Argyros
Pages : 67-76
Doi:10.31197/atnaa.624777
View : 5 | Download : 1
Publication Date : 2020-06-30
Article Type : Research
Abstract :We present the semi-local convergence analysis of a Potra-type method to solve equations involving Banach space valued operators. The analysis is based on our ideas of recurrent functions and restricted convergence region. The study is completed using numerical examples.Keywords : multi step method, local convergence, system of equations, Frechet derivative, Banach space