Geodesic
An analog of the method of continuation of solution with respect to the parameter for nonlinear operator equations
Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 601-606.

Voir la notice de l'article provenant de la source Math-Net.Ru

A process of second order is constructed for the solution of nonlinear operator equations which is an analog of the method of continuation of solution with respect to the parameter. For each value of the parameter the Newton–Kantorovich iteration formula is applied only once in all. The quadratic convergence of the process is ensured by the specification of the parameter by a special formula. The process under consideration enables us to avoid the singular points of the derivative of the nonlinear operator on the left-hand side of the operator equation. 
@article{MZM_1978_23_4_a11,
     author = {V. A. Ogneva and V. M. Chernyshenko},
     title = {An analog of the method of continuation of solution with respect to the parameter for nonlinear operator equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {601--606},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a11/}
}
TY  - JOUR
AU  - V. A. Ogneva
AU  - V. M. Chernyshenko
TI  - An analog of the method of continuation of solution with respect to the parameter for nonlinear operator equations
JO  - Matematičeskie zametki
PY  - 1978
SP  - 601
EP  - 606
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a11/
LA  - ru
ID  - MZM_1978_23_4_a11
ER  - 
%0 Journal Article
%A V. A. Ogneva
%A V. M. Chernyshenko
%T An analog of the method of continuation of solution with respect to the parameter for nonlinear operator equations
%J Matematičeskie zametki
%D 1978
%P 601-606
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a11/
%G ru
%F MZM_1978_23_4_a11
V. A. Ogneva; V. M. Chernyshenko. An analog of the method of continuation of solution with respect to the parameter for nonlinear operator equations. Matematičeskie zametki, Tome 23 (1978) no. 4, pp. 601-606. http://geodesic.mathdoc.fr/item/MZM_1978_23_4_a11/