Geodesic
Solution of arbitrary systems of nonlinear algebraic equations. Methods and algorithms. IV
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 124-146 
V. N. Kublanovskaya. Solution of arbitrary systems of nonlinear algebraic equations. Methods and algorithms. IV. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIII, Tome 248 (1998), pp. 124-146. http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a5/
@article{ZNSL_1998_248_a5,
     author = {V. N. Kublanovskaya},
     title = {Solution of arbitrary systems of nonlinear algebraic equations. {Methods} and {algorithms.~IV}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {124--146},
     year = {1998},
     volume = {248},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a5/}
}
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VL  - 248
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ID  - ZNSL_1998_248_a5
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%D 1998
%P 124-146
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%U http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a5/
%G ru
%F ZNSL_1998_248_a5

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

This paper considers the solution of a systems of $m$ nonlinear equations in $q\ge2$ variables (SNAEs-$q$). A method for finding all of the finite zero-dimensional roots of a given SNAE-$q$, which extends the method suggested in [2] for $q=2$ and $q=3$ to the case $q\ge2$, is developed and theoretically justified. This method is based on the algorithm of $\Delta W$-$q$ factorization of a polynomial $q$-parameter matrix $[1]$ and on the algorithm of relative factorization of a polynomial in $q$ variables $[3]$.