Subresultants

 

Title: Subresultants
Authors: Sebastiaan Joosten (sebastiaan /dot/ joosten /at/ uibk /dot/ ac /dot/ at), René Thiemann (rene /dot/ thiemann /at/ uibk /dot/ ac /dot/ at) and Akihisa Yamada (akihisa /dot/ yamada /at/ uibk /dot/ ac /dot/ at)
Submission date: 2017-04-06
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:
@article{Subresultants-AFP,
  author  = {Sebastiaan Joosten and René Thiemann and Akihisa Yamada},
  title   = {Subresultants},
  journal = {Archive of Formal Proofs},
  month   = apr,
  year    = 2017,
  note    = {\url{http://isa-afp.org/entries/Subresultants.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Berlekamp_Zassenhaus, Jordan_Normal_Form