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Nouvelle Cuisine for the Computation of the Annihilating Ideal of f s

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Computer Algebra in Scientific Computing (CASC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3718))

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Abstract

Let f 1,..., f p be polynomials in C[x 1,..., x n ] and let D = D n be the n-th Weyl algebra. The annihilating ideal of \(f^{s}=f_{1}^{s1}...f_{p}^{sp}\) in D[s]=D[s 1,...,s p ] is a necessary step for the computation of the Bernstein-Sato ideals of f 1,..., f p .

We point out experimental differences among the efficiency of the available methods to obtain this annihilating ideal and provide some upper bounds for the complexity of its computation.

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Author information

Authors and Affiliations

  1. Depto. de Álgebra, Universidad de Sevilla, Apdo. 1160, E-41080, Sevilla, Spain

    J. Gago-Vargas & J. M. Ucha-Enríquez

  2. Depto. de Matemáticas, Universidad de Cádiz, Apdo. 40, E-11510, Puerto Real, Spain

    M. I. Hartillo-Hermoso

Authors
  1. J. Gago-Vargas
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  2. M. I. Hartillo-Hermoso
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  3. J. M. Ucha-Enríquez
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Editor information

Editors and Affiliations

  1. Institute of Informatics, Technische Universität München, Boltzmannstr. 3, 85748, Garching, Germany

    Victor G. Ganzha  & Ernst W. Mayr  & 

  2. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 2005 Springer-Verlag Berlin Heidelberg

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Gago-Vargas, J., Hartillo-Hermoso, M.I., Ucha-Enríquez, J.M. (2005). Nouvelle Cuisine for the Computation of the Annihilating Ideal of f s . In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2005. Lecture Notes in Computer Science, vol 3718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11555964_14

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  • DOI: https://doi.org/10.1007/11555964_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28966-1

  • Online ISBN: 978-3-540-32070-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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