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Subresultant Chains Using Bézout Matrices

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Computer Algebra in Scientific Computing (CASC 2022)

Abstract

Subresultant chains over rings of multivariate polynomials are calculated using a speculative approach based on the Bézout matrix. Our experimental results yield significant speedup factors for the proposed approach against comparable methods. The determinant computations are based on fraction-free Gaussian elimination using various pivoting strategies.

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Correspondence to Marc Moreno Maza .

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Asadi, M., Brandt, A., Jeffrey, D.J., Maza, M.M. (2022). Subresultant Chains Using Bézout Matrices. In: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2022. Lecture Notes in Computer Science, vol 13366. Springer, Cham. https://doi.org/10.1007/978-3-031-14788-3_3

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  • DOI: https://doi.org/10.1007/978-3-031-14788-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-14787-6

  • Online ISBN: 978-3-031-14788-3

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