Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagonalizing hermitian matrices of continuous functions   The problem of diagonalizing hermitian matrices of continuous fiunctions was
studied by Grove and Pederson in 1984. While diagonalization is not possible in
general, in the presence of differentiability conditions we are able to obtain
positive results in the case of $2\times 2$ matrices. It remains open whether
our results can be extended to $n\times n$ matrices.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc