Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological approach to diagonalization algorithms   In this paper we prove that there exists an asymptotical diagonalization
algorithm for a class of sparse Hermitian (or real symmetric) matrices if and
only if the matrices become Hessenberg matrices after some permutation of rows
and columns. The proof is based on Morse theory, Roberts' theorem on
indifference graphs, toric topology, and computer-based homological
calculations.

4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs