A new algorithm for computing the extended Hensel construction of multivariate polynomials

DOI10.1007/s11424-018-6445-0zbMath1429.13017OpenAlexW2903657567MaRDI QIDQ1757719

Dong Lu, Yao Sun, Ding-Kang Wang

Publication date: 15 January 2019

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-018-6445-0

zbMATH Keywords

Sylvester matrixmultivariate polynomialresultantextended Hensel construction

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solving polynomial systems; resultants (13P15)

Uses Software

• Magma
• EHC

Cites Work

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• A unified method for multivariate polynomial factorizations
• Solving multivariate algebraic equation by Hensel construction
• Using Sparse Interpolation in Hensel Lifting
• Enhancing the Extended Hensel Construction by Using Gröbner Bases
• Algorithms for the non-monic case of the sparse modular GCD algorithm
• Factorization of multivariate polynomials by extended Hensel construction

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