On the Kantorovich hyphothesis for Newton's method
Volume 4, Issues 1-2 (1993), pp. 188–198
Pub. online: 1 January 1993
Type: Research Article
Published
1 January 1993
1 January 1993
Abstract
The article is dedicated to Newton's method for solving non-linear equation systems. The Kantorovich convergence theorem assumes that the derivative of the system function is Lipschitz continuous. Our purpose is to provide error estimates in the case of a Hölder continuous derivative.