Abstract
New elimination methods are applied to compute polynomial relations for the coefficients of the characteristic polynomial of certain families of matrices such as tensor squares.
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Blinkov, Y.A., Cid, C.F., Gerdt, V.P., Plesken, W., Robertz, D.: The MAPLE Package ”Janet”: I. Polynomial Systems. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds.) Proc. of Computer Algebra in Scientific Computing CASC 2003, pp. 31–40. Institut für Informatik, TU München, Garching, Germany (2003), Also available together with the package from WWW http://wwwb.math.rwth-aachen.de/Janet
ginv project, cf. http://invo.jinr.ru , http://wwwb.math.rwth-aachen.de/Janet
Gerdt, V.P.: Involutive Algorithms for Computing Gröbner Bases. In: Cojocaru, S., Pfister, G., Ufnarovski, V. (eds.) Computational Commutative and Non-Commutative Algebraic Geometry. NATO Science Series, pp. 199–225. IOS Press, Amsterdam (2005)
Gerdt, V.P., Blinkov, Y.A., Yanovich, D.A.: Construction of Janet Bases, II Polynomial Bases. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds.) Computer Algebra in Scientific Computing CASC 2001, pp. 249–263. Springer, Heidelberg (2001)
Leedham-Green, C.R., O’Brien, E.: Recognising tensor products for matrix groups. Int. J. of Algebra and Computation 7, 541–559 (1997)
Plesken, W., Robertz, D.: Janet’s approach to presentations and resolutions for polynomials and linear pdes. Arch. Math. 84(1), 22–37 (2005)
Plesken, W., Robertz, D.: Elimination for coefficients of special characteristic polynomials (submitted for publication)
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Plesken, W., Robertz, D. (2007). Some Elimination Problems for Matrices. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2007. Lecture Notes in Computer Science, vol 4770. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75187-8_27
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DOI: https://doi.org/10.1007/978-3-540-75187-8_27
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