Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating projections on non-tangential manifolds   We consider sequences $(B_k)_{k=0}^\infty$ of points obtained by projecting
back and forth between two manifolds $\M_1$ and $\M_2$, and give conditions
guaranteeing that the sequence converge to a limit $B_\infty\in\M_1\cap\M_2$.
Our motivation is the study of algorithms based on finding the limit of such
sequences, which have proven useful in a number of areas. The intersection is
typically a set with desirable properties, but for which there is no efficient
method of finding the closest point $B_{opt}$ in $\M_1\cap\M_2$. We prove not
only that the sequence of alternating projections converges, but that the limit
point is fairly close to $B_{opt}$, in a manner relative to the distance
$\|B_0-B_{opt}\|$, thereby significantly improving earlier results in the
field. A concrete example with applications to frequency estimation of signals
is also presented.

6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex