Polynomial and matrix computations (vol. 1): fundamental algorithms
Polynomial and matrix computations (vol. 1): fundamental algorithms
Fast Parallel Computation of the Polynomial Remainder Sequence Via Bezout and Hankel Matrices
SIAM Journal on Computing
Sylvester—Habicht sequences and fast Cauchy index computation
Journal of Symbolic Computation
Journal of Symbolic Computation
Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics)
Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics)
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Given two polynomials, this paper is devoted to describing the natural relation between the Euclidean algorithm and the block LU factorization of the Hankel and Bezout matrices associated to such polynomials.