Geodesic
Solving nonlinear equations by Newton's pole method
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 69-72 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {M. Yu. Petrov},
     title = {Solving nonlinear equations by {Newton's} pole method},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {69--72},
     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/IIMI_2002_2_a18/}
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M. Yu. Petrov. Solving nonlinear equations by Newton's pole method. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 69-72. http://geodesic.mathdoc.fr/item/IIMI_2002_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)