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Some Elimination Problems for Matrices

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Computer Algebra in Scientific Computing (CASC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4770))

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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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References

  1. 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

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  4. 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)

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  6. Plesken, W., Robertz, D.: Janet’s approach to presentations and resolutions for polynomials and linear pdes. Arch. Math. 84(1), 22–37 (2005)

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Victor G. Ganzha Ernst W. Mayr Evgenii V. Vorozhtsov

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© 2007 Springer-Verlag Berlin Heidelberg

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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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75186-1

  • Online ISBN: 978-3-540-75187-8

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