Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting methods with variable metric for KL functions   We study the convergence of general abstract descent methods applied to a
lower semicontinuous nonconvex function f that satisfies the
Kurdyka-Lojasiewicz inequality in a Hilbert space. We prove that any precompact
sequence converges to a critical point of f and obtain new convergence rates
both for the values and the iterates. The analysis covers alternating versions
of the forward-backward method with variable metric and relative errors. As an
example, a nonsmooth and nonconvex version of the Levenberg-Marquardt algorithm
is detailled.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th