This article is cited in 1 paper

Regular smoothness and the Newton–Kantorovich method

P. P. Zabreiko, A. N. Tanyhina

Belarusian State University

Abstract: The article deals with the Newton–Kantorovich method for solving nonlinear operator equations under the regular smoothness assumption. The main convergence theorem is proved by means of the majorant method of Kantorovich.

UDC: 517.988

Received: 21.03.2011