Geodesic
Reduction for systems of nonlinear equations with symmetry
Matematičeskoe modelirovanie, Tome 3 (1991) no. 6, pp. 72-83 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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”. 
@article{MM_1991_3_6_a6,
     author = {G. G. Yelenin and Yu. V. Troshchiev},
     title = {Reduction for systems of nonlinear equations with symmetry},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {72--83},
     year = {1991},
     volume = {3},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1991_3_6_a6/}
}
TY  - JOUR
AU  - G. G. Yelenin
AU  - Yu. V. Troshchiev
TI  - Reduction for systems of nonlinear equations with symmetry
JO  - Matematičeskoe modelirovanie
PY  - 1991
SP  - 72
EP  - 83
VL  - 3
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MM_1991_3_6_a6/
LA  - ru
ID  - MM_1991_3_6_a6
ER  - 
%0 Journal Article
%A G. G. Yelenin
%A Yu. V. Troshchiev
%T Reduction for systems of nonlinear equations with symmetry
%J Matematičeskoe modelirovanie
%D 1991
%P 72-83
%V 3
%N 6
%U http://geodesic.mathdoc.fr/item/MM_1991_3_6_a6/
%G ru
%F MM_1991_3_6_a6
G. G. Yelenin; Yu. V. Troshchiev. Reduction for systems of nonlinear equations with symmetry. Matematičeskoe modelirovanie, Tome 3 (1991) no. 6, pp. 72-83. http://geodesic.mathdoc.fr/item/MM_1991_3_6_a6/