Factorization of a Matrix Differential Operator Using Functions in its Kernel
Rings and Algebras
2015-09-18 v1
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.
Cite
@article{arxiv.1509.05105,
title = {Factorization of a Matrix Differential Operator Using Functions in its Kernel},
author = {Alex Kasman},
journal= {arXiv preprint arXiv:1509.05105},
year = {2015}
}