Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lagrange Multiplier Expression Method for Bilevel Polynomial
  Optimization   This paper studies bilevel polynomial optimization problems. To solve them,
we give a method based on polynomial optimization relaxations. Each relaxation
is obtained from the Kurash-Kuhn-Tucker (KKT) conditions for the lower level
optimization and the exchange technique for semi-infinite programming. For KKT
conditions, Lagrange multipliers are represented as polynomial or rational
functions. The Moment-SOS relaxations are used to solve the polynomial
optimizattion relaxations. Under some general assumptions, we prove the
convergence of the algorithm for solving bilevel polynomial optimization
problems. Numerical experiments are presented to show the efficiency of the
method.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
19
The categories of this paper are: eess