Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient projection and conditional gradient methods for constrained
  nonconvex minimization   Minimization of a smooth function on a sphere or, more generally, on a smooth
manifold, is the simplest non-convex optimization problem. It has a lot of
applications. Our goal is to propose a version of the gradient projection
algorithm for its solution and to obtain results that guarantee convergence of
the algorithm under some minimal natural assumptions. We use the
Lezanski-Polyak-Lojasiewicz condition on a manifold to prove the global linear
convergence of the algorithm. Another method well fitted for the problem is the
conditional gradient (Frank-Wolfe) algorithm. We examine some conditions which
guarantee global convergence of full-step version of the method with linear
rate.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat