Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An interior point method for nonlinear constrained derivative-free
  optimization   In this paper we consider constrained optimization problems where both the
objective and constraint functions are of the black-box type. Furthermore, we
assume that the nonlinear inequality constraints are non-relaxable, i.e. their
values and that of the objective function cannot be computed outside of the
feasible region. This situation happens frequently in practice especially in
the black-box setting where function values are typically computed by means of
complex simulation programs which may fail to execute if the considered point
is outside of the feasible region. For such problems, we propose a new
derivative-free optimization method which is based on the use of a merit
function that handles inequality constraints by means of a log-barrier approach
and equality constraints by means of a quadratic penalty approach. We prove
convergence of the proposed method to KKT stationary points of the problem
under quite mild assumptions. Furthermore, we also carry out a preliminary
numerical experience on standard test problems and comparison with a
state-of-the-art solver which shows efficiency of the proposed method.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph