Geodesic
Solving nonlinear equations by Newton's pole method
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 69-72.

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The problem of solving systems of nonlinear equations is considered. The new modification of a classical Newton method, which called polar Newton method, is described. For some rule of choice of poluses on each iteration conditions of quadratic convergence of this method are found. 
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M. Yu. Petrov. Solving nonlinear equations by Newton's pole method. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 69-72. http://geodesic.mathdoc.fr/item/IIMI_2002_25_2_a18/

[1] Verzhbitskii V. M., Osnovy chislennykh metodov, Vyssh. shkola, M., 2002, 848 pp.

[2] Verzhbitskii V. M., Petrov M. Yu., “Polyusnyi metod Nyutona”, Probl. sovrem. teorii period. dvizhenii, Mezhvuz. sb., Izhevsk, 2002 (to appear)