Abstract
This paper considers the solution of a system of m nonlinear equations in q>02 variables (SNAE-q). A method for finding all of the finite zero-dimensional roots of a given SNAE-q, which extends the method suggested previously for q=2 and q=3 to the case q≥2, is developed and theoretically justified. This method is based on the algorithm of the ΔW-q factorization of a polynomial q-parameter matrix and on the algorithm of relative factorization of a scalar polynomial in q variables. Bibliography: 7 titles.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 248, 1998, pp. 124–146.
Translated by V. N. Kublanovskaya.
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Kublanovskaya, V.N. Solution of systems of general-form nonilinear algebraic equations. Methods and algorithms. IV. J Math Sci 101, 3300–3314 (2000). https://doi.org/10.1007/BF02672773
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DOI: https://doi.org/10.1007/BF02672773