B. Beckermann, G. Labahn, and G. Villard. Normal forms for general polynomial matrices. Technical Report RR2002-01, ENS Lyon, France, 2002. Home/Search Document Details and Download
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On the fraction-free computation of column-reduced matrix.. - Beckermann, Labahn (2002) (1 citation) Self-citation (Beckermann Labahn) (Correct)
..... It is well known that G(z) has the invariant of length r being (up to permutation) the unique vector of column degrees of a column reduced matrix T(z) G(z)U(z) with U(z) unimodular. Degree bounds for the columns U (z) of a particular so called minimal multiplier U(z) were the subject of [4], see also [3] for the full column rank case) Denoting by J the set of indices of the n r zero columns of T(z) it is shown that there exists a multiplier with (z) k by [4, Remark 3.7] and (z) maxfN 1; k (r 1)N MM degG(z)g by [4, Theorem 5.1(a) with a = 0 = b and ....
B. Beckermann, G. Labahn & G. Villard, Normal Forms of General Polynomial Matrices, Manuscript (2001).
Algorithms for Normal Forms for Matrices of Polynomials and Ore.. - Cheng (2003) (Correct)
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B. Beckermann, G. Labahn, and G. Villard. Normal forms for general polynomial matrices. Technical Report RR2002-01, ENS Lyon, France, 2002.
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