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

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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 $[3]$. 
@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},
     publisher = {mathdoc},
     volume = {248},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_248_a5/}
}
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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/