Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization theorems for matrices and bounds for the zeros of
  polynomials over a quaternion division algebra   In this paper, Ostrowski and Brauer type theorems are derived for the left
and right eigenvalues of a quaternionic matrix. Generalizations of Gerschgorin
type theorems are discussed for the left and the right eigenvalues of a
quaternionic matrix. Thereafter a sufficient condition for the stability of a
quaternionic matrix is given that generalizes the stability condition for a
complex matrix. Finally, a characterization of bounds for the zeros of
quaternionic polynomials is presented.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom