Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On inexact relative-error hybrid proximal extragradient,
  forward-backward and Tseng's modified forward-backward methods with inertial
  effects   In this paper, we propose and study the asymptotic convergence and
nonasymptotic global convergence rates (iteration-complexity) of an inertial
under-relaxed version of the relative-error hybrid proximal extragradient (HPE)
method for solving monotone inclusion problems. We analyze the proposed method
under more flexible assumptions than existing ones on the extrapolation and
relative-error parameters. As applications, we propose and/or study inertial
under-relaxed forward-backward and Tseng's modified forward-backward type
methods for solving structured monotone inclusions.

3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin