Basic Polynomial Algebra Subprograms

DOI10.1145/2733693.2733723zbMath1322.68273OpenAlexW2050816636MaRDI QIDQ5178932

Svyatoslav Covanov, Ning Xie, Farnam Mansouri, Marc Moreno Maza, Yuzhen Xie, Changbo Chen

Publication date: 18 March 2015

Published in: ACM Communications in Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2733693.2733723

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

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Uses Software

• AXIOM
• FLINT
• Magma
• FFTW
• modpn
• Cilk

Cites Work

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• The \texttt{modpn} library: bringing fast polynomial arithmetic into \texttt{Maple}
• Symbolic integration. I: Transcendental functions
• The Magma algebra system. I: The user language
• Optimizations of the subresultant algorithm
• Fast multiplication of large numbers
• Parallel sparse polynomial multiplication using heaps
• BALANCED DENSE POLYNOMIAL MULTIPLICATION ON MULTI-CORES
• Cache-Oblivious Algorithms
• Highly Scalable Multiplication for Distributed Sparse Multivariate Polynomials on Many-Core Systems
• Cache complexity and multicore implementation for univariate real root isolation

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