Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elementary symmetric functions of two solvents of a quadratic matrix
  equation   Quadratic matrix equations occur in a variety of applications. In this paper
we introduce new permutationally invariant functions of two solvents of the n
quadratic matrix equation X^2- L1X - L0 = 0, playing the role of the two
elementary symmetric functions of the two roots of a quadratic scalar equation.
Our results rely on the connection existing between the QME and the theory of
linear second order difference equations with noncommutative coefficients. An
application of our results to a simple physical problem is briefly discussed.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat