Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four strategies to develop canonical dual algorithms for global
  optimization problems   The canonical duality theory has provided with a unified analytic solution to
a range of discrete and continuous problems in global optimization, which can
transform a nonconvex primal problem to a concave maximization dual problem
over a convex domain without duality gap. This paper shows that under certain
conditions, this canonical dual problem is equivalent to the standard
semi-definite programming (SDP) problem, which can be solved by well-developed
software packages. In order to avoid certain difficulties of using the SDP
method, four strategies are proposed based on unconstrained approaches, which
can be used to develop algorithms for solving some challenging problems.
Applications are illustrated by fourth-order polynomials benchmark optimization
problems.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an