Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multivariable matrix spectral factorization method   Spectral factorization is a prominent tool with several important
applications in various areas of applied science. Wiener and Masani proved the
existence of matrix spectral factorization. Their theorem has been extended to
the multivariable case by Helson and Lowdenslager. Solving the problem
numerically is challenging in both situations, and also important due to its
practical applications. Therefore, several authors have developed algorithms
for factorization. The Janashia-Lagvilava algorithm is a relatively new method
for matrix spectral factorization which has proved to be useful in several
applications. In this paper, we extend this method to the multivariable case.
Consequently, a new numerical algorithm for multivariable matrix spectral
factorization is constructed.

20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an