Extensions of Kantorovich-type theorems for Newton’s method
Volume 47 / 2020
Applicationes Mathematicae 47 (2020), 145-153
MSC: 65G99, 47H17, 49M15.
DOI: 10.4064/am2352-1-2018
Published online: 7 June 2019
Abstract
We extend the applicability of Newton’s method, so we can approximate a locally unique solution of a nonlinear equation in a Banach space setting in cases not covered before. To achieve this, we find a more precise set containing the Newton iterates than in earlier works.
