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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 124–146
(Mi znsl629)
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Solution of arbitrary systems of nonlinear algebraic equations. Methods and algorithms. IV
V. N. Kublanovskaya St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
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 $[3]$.
Received: 02.12.1996
Citation:
V. N. Kublanovskaya, “Solution of arbitrary systems of nonlinear algebraic equations. Methods and algorithms. IV”, Computational methods and algorithms. Part XIII, Zap. Nauchn. Sem. POMI, 248, POMI, St. Petersburg, 1998, 124–146; J. Math. Sci. (New York), 101:4 (2000), 3300–3314
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https://www.mathnet.ru/eng/znsl629 https://www.mathnet.ru/eng/znsl/v248/p124
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