Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Globally Convergent Penalty-Based Gauss-Newton Algorithm with
  Applications   We propose a globally convergent Gauss-Newton algorithm for finding a local
optimal solution of a non-convex and possibly non-smooth optimization problem.
The algorithm that we present is based on a Gauss-Newton-type iteration for the
non-smooth penalized formulation of the original problem. We establish a global
convergence rate for this scheme from any initial point to a stationary point
of the problem while using an exact penalty formulation. Under some more
restrictive conditions we also derive local quadratic convergence for this
scheme. We apply our proposed algorithm to solve the Alternating Current
optimal power flow problem on meshed electricity networks, which is a
fundamental application in power systems engineering. We verify the performance
of the proposed method by showing comparable behavior with IPOPT, a
well-established solver. We perform our validation on several representative
instances of the optimal power flow problem, which are sourced from the
MATPOWER library.

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom