Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized subdifferentials of spectral functions over Euclidean Jordan
  algebras   This paper is devoted to the study of generalized subdifferentials of
spectral functions over Euclidean Jordan algebras. Spectral functions appear
often in optimization problems playing the role of "regularizer", "barrier",
"penalty function" and many others. We provide formulae for the regular,
approximate and horizon subdifferentials of spectral functions. In addition,
under local lower semicontinuity, we also furnish a formula for the Clarke
subdifferential, thus extending an earlier result by Baes. As application, we
compute the generalized subdifferentials of the function that maps an element
to its k-th largest eigenvalue. Furthermore, in connection with recent
approaches for nonsmooth optimization, we present a study of the
Kurdyka-Lojasiewicz (KL) property for spectral functions and prove a transfer
principle for the KL-exponent. In our proofs, we make extensive use of recent
tools such as the commutation principle of Ram\'irez, Seeger and Sossa and
majorization principles developed by Gowda.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess