| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4645251 | Applied Numerical Mathematics | 2014 | 8 Pages |
Abstract
Circulant matrices can be effective preconditioners for linear systems of equations with a Toeplitz matrix. Several approaches to construct such preconditioners have been described in the literature. This paper focuses on the superoptimal circulant preconditioners proposed by Tyrtyshnikov, and investigates a generalization obtained by allowing generalized circulant matrices. Numerical examples illustrate that the new preconditioners so obtained can give faster convergence than available preconditioners based on circulant and generalized circulant matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Silvia Noschese, Lothar Reichel,