Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating Direction Method of Multipliers for Linear Inverse Problems   In this paper we propose an iterative method using alternating direction
method of multipliers (ADMM) strategy to solve linear inverse problems in
Hilbert spaces with general convex penalty term. When the data is given
exactly, we give a convergence analysis of our ADMM algorithm without assuming
the existence of Lagrange multiplier. In case the data contains noise, we show
that our method is a regularization method as long as it is terminated by a
suitable stopping rule. Various numerical simulations are performed to test the
efficiency of the method.

14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org