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cs.SC2006★ 5 cited
Bounds on the coefficients of the characteristic and minimal polynomials
Jean-Guillaume Dumas
This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associated matrix.…
cs.SC2006★ 7 cited
Dense Linear Algebra over Finite Fields: the FFLAS and FFPACK packages
Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet
In the past two decades, some major efforts have been made to reduce exact (e.g. integer, rational, polynomial) linear algebra problems to matrix multiplication in order to provide…