Abstract
We study efficient iterative methods for Toeplitz systems based on the circulant and skew-circulant splitting (CSCS) of the Toeplitz matrix. Theoretical analysis show that if the circulant and the skew-circulant splitting matrices are positive definite, then the CSCS method converges to the unique solution of the system of linear equations. Moreover, we derive an upper bound of the contraction factor of the CSCS iteration which is dependent solely on the spectra of the circulant and the skew-circulant matrices involved. Numerical examples are presented to demonstrate the method.
| Original language | English |
|---|---|
| Pages (from-to) | 101-108 |
| Number of pages | 8 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 159 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Oct 2003 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
-
SDG 9 Industry, Innovation, and Infrastructure
User-Defined Keywords
- Toeplitz
- Circulant
- Skew-circulant
- Splitting
- Iterative methods
Fingerprint
Dive into the research topics of 'Circulant and skew-circulant splitting methods for Toeplitz systems'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver