Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Douglas-Rachford algorithms for solving convex feasibility
  problems in Hilbert space   In this work we focus on the convex feasibility problem (CFP) in Hilbert
space. A specific method in this area that has gained a lot of interest in
recent years is the Douglas-Rachford (DR) algorithm. This algorithm was
originally introduced in 1956 for solving stationary and non-stationary heat
equations. Then in 1979, Lions and Mercier adjusted and extended the algorithm
with the aim of solving CFPs and even more general problems, such as finding
zeros of the sum of two maximally monotone operators. Many developments which
implement various concepts concerning this algorithm have occurred during the
last decade. We introduce a random DR algorithm, which provides a general
framework for such concepts. Using random products of a finite number of
strongly nonexpansive operators, we apply such concepts to provide new
iterative methods, where, \textit{inter alia}, such operators may be interlaced
between the operators used in the scheme of our random DR algorithm.

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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph