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Sparse hensel lifting

  • Algebraic Algorithms I
  • Conference paper
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EUROCAL '85 (EUROCAL 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 204))

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Abstract

A new algorithm is introduced which computes the multivariate leading coefficients of polynomial factors from their univariate images. This algorithm is incorporated into a sparse Hensel lifting scheme and only requires the factorization of a single univariate image. The algorithm also provides the content of the input polynomial in the main variable as a by-product. We show how we can take advantage of this property when computing the GCD of multivariate polynomials by sparse Hensel lifting.

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Bob F. Caviness

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© 1985 Springer-Verlag Berlin Heidelberg

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Kaltofen, E. (1985). Sparse hensel lifting. In: Caviness, B.F. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15984-3_230

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  • DOI: https://doi.org/10.1007/3-540-15984-3_230

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15984-1

  • Online ISBN: 978-3-540-39685-7

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