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arXiv · 0906.4121

On computing the Hermite form of a matrix of differential polynomials

Mark Giesbrecht·Myung Sub Kim
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Abstract

Given an n x n matrix over the ring of differential polynomials F(t)[\D;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 terms of n, deg_D(A), and deg_t(A). When F is the field of rational numbers, it also requires time polynomial in the bit-length of the coefficients.

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Mark Giesbrecht, Myung Sub Kim. 2009-06-22. On computing the Hermite form of a matrix of differential polynomials. https://doi.org/10.1007/978-3-642-04103-7_12

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