Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infimum of a matrix norm of A induced by an absolute vector norm   We characterize the infimum of a matrix norm of a square matrix A induced by
an absolute norm, over the fields of real and complex numbers. Usually this
infimum is greater than the spectral radius of A. If A is sign equivalent to a
nonnegative matrix B then this infimum is the spectral radius of B.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics