Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Duality Gap Convergence of ADMM Methods   This paper provides a duality gap convergence analysis for the standard ADMM
as well as a linearized version of ADMM. It is shown that under appropriate
conditions, both methods achieve linear convergence. However, the standard ADMM
achieves a faster accelerated convergence rate than that of the linearized
ADMM. A simple numerical example is used to illustrate the difference in
convergence behavior.

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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph