Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adaptive discretization method solving semi-infinite optimization
  problems with quadratic rate of convergence   Semi-infinite programming can be used to model a large variety of complex
optimization problems. The simple description of such problems comes at a
price: semi-infinite problems are often harder to solve than finite nonlinear
problems. In this paper we combine a classical adaptive discretization method
developed by Blankenship and Falk and techniques regarding a semi-infinite
optimization problem as a bi-level optimization problem. We develop a new
adaptive discretization method which combines the advantages of both techniques
and exhibits a quadratic rate of convergence. We further show that a limit of
the iterates is a stationary point, if the iterates are stationary points of
the approximate problems.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat