Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence characteristics of the generalized residual cutting method   The residual cutting (RC) method has been proposed for efficiently solving
linear equations obtained from elliptic partial differential equations. Based
on the RC, we have introduced the generalized residual cutting (GRC) method,
which can be applied to general sparse matrix problems. In this paper, we study
the mathematics of the GRC algorithm and and prove it is a Krylov subspace
method. Moreover, we show that it is deeply related to the conjugate residual
(CR) method and that GRC becomes equivalent to CR for symmetric matrices. Also,
in numerical experiments, GRC shows more robust convergence and needs less
memory compared to GMRES, for significantly larger matrix sizes.

36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con