Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A method to rigorously enclose eigendecompositions of interval matrices   In this paper, a rigorous computational method to enclose eigendecompositions
of complex interval matrices is proposed. Each eigenpair $x=(\lambda,v)$ is
found by solving a nonlinear equation of the form $f(x)=0$ via a contraction
argument. The set-up of the method relies on the notion of radii polynomials,
which provide an efficient mean of determining a domain on which the
contraction mapping theorem is applicable.

34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org