Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Techniques for Accelerating the Convergence of Restarted GMRES Based on
  the Projection   In this paper, we study the restarted Krylov subspace method, which is
typically represented by the GMRES(m) method. Our work mainly focused on the
amount of change in the iterative solution of GMRES(m) at each restart. We
propose an extension of the GMRES(m) method based on the idea of projection.
The algorithm is named as LGMRES. In addition, LLBGMRE method is also obtained
by adding backtracking restart technology to LGMRES. Theoretical analysis and
numerical experiments show that LGMRES and LLBGMRES have better convergence
than traditional restart GMRES(m) method.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin