Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Guaranteed $\epsilon$-optimal solutions with the linear optimizer ART3+O   The linear optimization algorithm ART3+O introduced by Chen et al. (2010) can
efficiently solve large scale inverse planning problems encountered in
radiation therapy by iterative projection. Its major weakness is that it cannot
guarantee ${\epsilon}$-optimality of the final solution due to an arbitrary
stopping criterion. We propose an improvement to ART3+O where the stopping
criterion is based on Farkas' lemma. The same theory can be used to detect
inconsistency in other projection methods as well. The proposed algorithm
guarantees to find an ${\epsilon}$-optimal solution in finite time. The
algorithm is demonstrated on numerical examples in radiation therapy.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat