Geodesic
Discrete-time symmetric polynomial equations with complex coefficients
Kybernetika, Tome 38 (2002) no. 2, p. [113].

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Discrete-time symmetric polynomial equations with complex coefficients are studied in the scalar and matrix case. New theoretical results are derived and several algorithms are proposed and evaluated. Polynomial reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix algorithms are then developed to solve numerically the equations. The algorithms are implemented in the Polynomial Toolbox for Matlab.
Classification : 15A24, 65F30, 68T20, 93B40
Keywords: polynomial equation; Sylvester matrix; dynamical system 
@article{KYB_2002__38_2_a0,
     author = {Henrion, Didier and Je\v{z}ek, Jan and \v{S}ebek, Michael},
     title = {Discrete-time symmetric polynomial equations with complex coefficients},
     journal = {Kybernetika},
     pages = {[113]},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {2002},
     mrnumber = {1916447},
     zbl = {1265.93102},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_2_a0/}
}
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Henrion, Didier; Ježek, Jan; Šebek, Michael. Discrete-time symmetric polynomial equations with complex coefficients. Kybernetika, Tome 38 (2002) no. 2, p. [113]. http://geodesic.mathdoc.fr/item/KYB_2002__38_2_a0/