Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivatives of partial eigendecomposition of a real symmetric matrix for
  degenerate cases   This paper presents the forward and backward derivatives of partial
eigendecomposition, i.e. where it only obtains some of the eigenpairs, of a
real symmetric matrix for degenerate cases. The numerical calculation of
forward and backward derivatives can be implemented even if the degeneracy
never disappears and only some eigenpairs are available.

18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an