Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the resolvent of the sum of maximally monotone operators with
  the averaged alternating modified reflections algorithm   The averaged alternating modified reflections algorithm is a projection
method for finding the closest point in the intersection of closed convex sets
to a given point in a Hilbert space. In this work, we generalize the scheme so
that it can be used to compute the resolvent of the sum of two maximally
monotone operators. This gives rise to a new splitting method, which is proved
to be strongly convergent. A standard product space reformulation permits to
apply the method for computing the resolvent of a finite sum of maximally
monotone operators. Based on this, we propose two variants of such parallel
splitting method.

3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat