Computing the Hermite form of a matrix of Ore polynomials
نویسندگان
چکیده
منابع مشابه
Computing the Hermite Form of a Matrix of Ore Polynomials
Let F[∂;σ, δ] be the ring of Ore polynomials over a field (or skew field) F, where σ is a automorphism of F and δ is a σ-derivation. Given a matrix A ∈ F[∂;σ, δ], we show how to compute the Hermite form H of A and a unimodular matrix U such that UA = H. The algorithm requires a polynomial number of operations in F in terms of n and the degrees (in ∂) of the entries in A. When F = k(z) for some ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.11.033