On the Convergence Region of Multi-step Chebyshev-Halley-type Schemes for Solving Equations
Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 1, Issue 2
Abstract
The aim of this article is to extend the convergence region of certain multi-step Chebyshev-Halley-type schemes for solving Banach space valued nonlinear equations. In particular, we find an at least as small region as the region of the operator involved containing the iterates. This way the majorant functions are tighter than the ones related to the original region, leading to a finer local as well as a semi-local convergence analysis under the same computational effort. Numerical examples complete this article.
Authors and Affiliations
Ioannis K. Argyros, Santhosh George
Keywords
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