Geodesic
An approach to solving nonlinear algebraic systems.~2
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part IX, Tome 202 (1992), pp. 71-96

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New methods of solving nonlinear algebraic systems in two variables are suggested, which make it possible to find all zero-dimensional roots without knowing initial approximations. The first method reduces the solution of nonlinear algebraic systems to eigenvalue problems for a polynomial matrix pencil. The second method is based on the rank factorization of a two-parameter polynomial matrix, allowing, us to compute the GCD of a set of polynomials and all zero-dimensional roots of the GCD. Bibliography: 10 titles. 
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     author = {V. N. Kublanovskaya and V. N. Simonova},
     title = {An approach to solving nonlinear algebraic systems.~2},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {202},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_202_a3/}
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V. N. Kublanovskaya; V. N. Simonova. An approach to solving nonlinear algebraic systems.~2. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part IX, Tome 202 (1992), pp. 71-96. http://geodesic.mathdoc.fr/item/ZNSL_1992_202_a3/