Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The LP-Newton Method and Conic Optimization   We propose that the LP-Newton method can be used to solve conic LPs over a
conic box, whenever linear optimization over an otherwise unconstrained conic
box is easy. In particular, if $\leq_\mathcal{K}$ is the partial order induced
by a proper convex cone $\mathcal{K}$, then optimizing a linear function over
the intersection of $[{l},{u}]_\mathcal{K}=\{{l}\leq_\mathcal{K}
{x}\leq_\mathcal{K}{u}\}$ and an affine subspace can be done with this method
whenever optimizing a linear function over $[{l},{u}]_{\mathcal{K}}$ is
efficient.
  This generalizes the result for the case of $\mathcal{K}=\mathbb{R}^n_+$ that
was originally proposed for using the method. Specifically, we show how to
adapt this method for both SOCP and SDP problems and illustrate the method with
a few experiments. While the approach is promising due to the low amount of
Newton steps needed, solving the minimum-norm-point problem involved in the
Newton step with a Frank-Wolfe algorithm is not advisable.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys