Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sharp bound on the convergence rate of an aggregation-based algebraic
  multi-grid method applied to a 1D model problem   We consider the linear system Ax=b arising from one-dimensional Poisson's
equation with Dirichlet boundary conditions, where A is the square matrix with
the stencil form [-1 2 -1]. Here we show that a pairwise aggregation-based
algebraic 2-grid method reduces the A-norm of the error at each step by at
least the factor $1/\sqrt{2}$.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics