Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cauchy-like and Pellet-like results for polynomials   We obtain several Cauchy-like and Pellet-like results for the zeros of a
general complex polynomial by considering similarity transformations of the
squared companion matrix and the reformulation of the zeros of a scalar
polynomial as the eigenvalues of a polynomial eigenvalue problem.

24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph