Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transversality and alternating projections for nonconvex sets   We consider the method of alternating projections for finding a point in the
intersection of two closed sets, possibly nonconvex. Assuming only the standard
transversality condition (or a weaker version thereof), we prove local linear
convergence. When the two sets are semi-algebraic and bounded, but not
necessarily transversal, we nonetheless prove subsequence convergence.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol