Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criteria for commutative factorization of a class of algebraic matrices   The problem of matrix factorization motivated by diffraction or elasticity is
studied. A powerful tool for analyzing its solutions is introduced, namely
analytical continuation formulae are derived. Necessary condition for
commutative factorization is found for a class of "balanced" matrices. Together
with Moiseyev's method and Hurd's idea, this gives a description of the class
of commutatively solvable matrices. As a result, a simple analytical procedure
is described, providing an answer, whether a given matrix is commutatively
factorizable or not.

36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph