Geodesic
Solution of systems of nonlinear algebraic equations in three variables. Methods and algorithms.~3
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XI, Tome 229 (1995), pp. 159-190

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An approach to constructing methods for solving systems of nonlinear algebraic equations in three variables (SNAEs-3) is suggested. This approach is based on the interrelationship between solutions of SNAEs-3, and solutions of spectral problems for two- and three-parameter polynomial matrices and for pencils of two-parameter matrices. Methods for computing all of the finite zero-dimensional roots of a SNAE-3 requiring no initial approximations of them are suggested. Some information on $k$-dimensional $(k>0)$ roots of SNAEs-3 useful for a further analysis of them is obtained. Bibliography: 17 titles. 
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     author = {V. N. Kublanovskaya},
     title = {Solution of systems of nonlinear algebraic equations in three variables. {Methods} and algorithms.~3},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {159--190},
     publisher = {mathdoc},
     volume = {229},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_229_a5/}
}
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V. N. Kublanovskaya. Solution of systems of nonlinear algebraic equations in three variables. Methods and algorithms.~3. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XI, Tome 229 (1995), pp. 159-190. http://geodesic.mathdoc.fr/item/ZNSL_1995_229_a5/