Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Solving Ill-Conditioned Linear Systems   This paper presents the first results to combine two theoretically sound
methods (spectral projection and multigrid methods) together to attack
ill-conditioned linear systems. Our preliminary results show that the proposed
algorithm applied to a Krylov subspace method takes much fewer iterations for
solving an ill-conditioned problem downloaded from a popular online sparse
matrix collection.

1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess