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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 124–146 (Mi znsl629)  

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
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 4, Pages 3300–3314
DOI: https://doi.org/10.1007/BF02672773
Bibliographic databases:
UDC: 519
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Kub98}
\by V.~N.~Kublanovskaya
\paper Solution of arbitrary systems of nonlinear algebraic equations. Methods and algorithms.~IV
\inbook Computational methods and algorithms. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 248
\pages 124--146
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl629}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693241}
\zmath{https://zbmath.org/?q=an:0961.65046}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 4
\pages 3300--3314
\crossref{https://doi.org/10.1007/BF02672773}
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