Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accelerating the DC algorithm for smooth functions   We introduce two new algorithms to minimise smooth difference of convex (DC)
functions that accelerate the convergence of the classical DC algorithm (DCA).
We prove that the point computed by DCA can be used to define a descent
direction for the objective function evaluated at this point. Our algorithms
are based on a combination of DCA together with a line search step that uses
this descent direction. Convergence of the algorithms is proved and the rate of
convergence is analysed under the Lojasiewicz property of the objective
function. We apply our algorithms to a class of smooth DC programs arising in
the study of biochemical reaction networks, where the objective function is
real analytic and thus satisfies the Lojasiewicz property. Numerical tests on
various biochemical models clearly show that our algorithms outperforms DCA,
being on average more than four times faster in both computational time and the
number of iterations. Numerical experiments show that the algorithms are
globally convergent to a non-equilibrium steady state of various biochemical
networks, with only chemically consistent restrictions on the network topology.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas