Factorization of a Matrix Differential Operator Using Functions in its Kernel
Abstract
Just as knowing some roots of a polynomial allows one to factor it, a wellknown result provides a factorization of any scalar differential operator given a set of linearly independent functions in its kernel. This note provides a straightforward generalization to the case of matrix coefficient differential operators that applies even in the case that the leading coefficient is singular.
 Publication:

arXiv eprints
 Pub Date:
 September 2015
 arXiv:
 arXiv:1509.05105
 Bibcode:
 2015arXiv150905105K
 Keywords:

 Mathematics  Rings and Algebras;
 16S32