Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A revised sequential quadratic semidefinite programming method for
  nonlinear semidefinite optimization   In 2020, Yamakawa and Okuno proposed a stabilized sequential quadratic
semidefinite programming (SQSDP) method for solving, in particular, degenerate
nonlinear semidefinite optimization problems. The algorithm is shown to
converge globally without a constraint qualification, and it has some nice
properties, including the feasible subproblems, and their possible inexact
computations. In particular, the convergence was established for
approximate-Karush-Kuhn-Tucker (AKKT) and trace-AKKT conditions, which are two
sequential optimality conditions for the nonlinear conic contexts. However,
recently, complementarity-AKKT (CAKKT) conditions were also consider, as an
alternative to the previous mentioned ones, that is more practical. Since few
methods are shown to converge to CAKKT points, at least in conic optimization,
and to complete the study associated to the SQSDP, here we propose a revised
version of the method, maintaining the good properties. We modify the previous
algorithm, prove the global convergence in the sense of CAKKT, and show some
preliminary numerical experiments.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an