Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Preconditioners for symmetrized Toeplitz and multilevel Toeplitz
  matrices   When solving linear systems with nonsymmetric Toeplitz or multilevel Toeplitz
matrices using Krylov subspace methods, the coefficient matrix may be
symmetrized. The preconditioned MINRES method can then be applied to this
symmetrized system, which allows rigorous upper bounds on the number of MINRES
iterations to be obtained. However, effective preconditioners for symmetrized
(multilevel) Toeplitz matrices are lacking. Here, we propose novel ideal
preconditioners, and investigate the spectra of the preconditioned matrices. We
show how these preconditioners can be approximated and demonstrate their
effectiveness via numerical experiments.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol