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Subresultants

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Authors:

  • Joosten, Sebastiaan J. C.
  • Thiemann, René
  • Yamada, Akihisa

Published in: Archive of Formal Proofs

https://www.isa-afp.org/entries/Subresultants.html

Abstract:

We formalize the theory of subresultants and the subresultant polynomial remainder sequence as described by Brown and Traub. As a result, we obtain efficient certified algorithms for computing the resultant and the greatest common divisor of polynomials.

BibTeX entry:

@article{Joosten17,
 abstract = {We formalize the theory of subresultants and the subresultant polynomial remainder sequence as described by Brown and Traub. As a result, we obtain efficient certified algorithms for computing the resultant and the greatest common divisor of polynomials.},
 author = {Sebastiaan Jozef Christiaan Joosten and Ren{\'e} Thiemann and Akihisa Yamada},
 day = {6},
 issn = {2150-914x},
 journal = {Archive of Formal Proofs},
 language = {English},
 month = {4},
 publisher = {SourceForge},
 title = {Subresultants},
 url = {https://www.isa-afp.org/entries/Subresultants.html},
 year = {2017}
}