Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\sigma$-Stable Matrices   $\sigma$-Stable matrices are introduced and it is shown that the real roots
of the polynomials comprising the coefficients of the characteristic polynomial
indicate the coefficient sign changes. A proof of Obrechkoff is then used to
show that the largest real root from the coefficients is the point of stability
when the maximal eigenvalue of the $\sigma$-stable matrix is in $\mathbb{R}$.
Some implications of the coefficient behaviour for a scaling relation are then
discussed.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph