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Matematicheskoe modelirovanie, 1991, Volume 3, Number 6, Pages 72–83 (Mi mm2240)  
Computational methods and algorithms

Reduction for systems of nonlinear equations with symmetry

G. G. Yelenin, Yu. V. Troshchiev

M. V. Lomonosov Moscow State University
Full-text PDF (1178 kB)
Abstract: The method of reduction of symmetrical systems of equations is proposed. Solutions of reduced systems are solutions of the initial system invariant upon a given group of matrices. Constructed systems are of the same dimension as the initial one. The method of automatical group analysis and automatical reduction is introduced for a case of equivariancy upon transpositions. The method is used in the code “Ariadna”.
Received: 05.06.1991
Bibliographic databases:
UDC: 519.624
Language: Russian
Citation: G. G. Yelenin, Yu. V. Troshchiev, “Reduction for systems of nonlinear equations with symmetry”, Matem. Mod., 3:6 (1991), 72–83
Citation in format AMSBIB
\Bibitem{YelTro91}
\by G.~G.~Yelenin, Yu.~V.~Troshchiev
\paper Reduction for systems of nonlinear equations with symmetry
\jour Matem. Mod.
\yr 1991
\vol 3
\issue 6
\pages 72--83
\mathnet{http://mi.mathnet.ru/mm2240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1149028}
\zmath{https://zbmath.org/?q=an:1189.65099}
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