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arXiv · 1509.05105

Factorization of a Matrix Differential Operator Using Functions in its Kernel

Alex Kasman
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Abstract

Just as knowing some roots of a polynomial allows one to factor it, a well-known result provides a factorization of any scalar differential operator given a set of linearly independent functions in its kernel. This note provides a straight-forward generalization to the case of matrix coefficient differential operators that applies even in the case that the leading coefficient is singular.

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Alex Kasman. 2015-09-17. Factorization of a Matrix Differential Operator Using Functions in its Kernel. https://arxiv.org/abs/1509.05105

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