Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pattern search bound constrained optimization method with a
  nonmonotone line search strategy   A new pattern search method for bound constrained optimization is introduced.
The proposed algorithm employs the coordinate directions, in a suitable way,
with a nonmonotone line search for accepting the new iterate, without using
derivatives of the objective function. The main global convergence results are
strongly based on the relationship between the step length and a stationarity
measure. Several numerical experiments are performed using a well known set of
test problems. Other line search strategies were tested and compared with the
new algorithm.

10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin