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Backward errors and small-sample condition estimation for ⋆-Sylveter equations.
- Source :
-
International Journal of Computer Mathematics . Oct2017, Vol. 94 Issue 10, p2106-2121. 16p. - Publication Year :
- 2017
-
Abstract
- In this paper, we consider the perturbation analysis for ⋆-Sylvester equations. Based on the small-sample condition estimation (SCE) technique, we devise algorithms to estimate normwise, mixed and componentwise condition numbers for ⋆-Sylvester equations. We also define a componentwise backward error with a sharp and easily computable bound. Numerical examples illustrate that our algorithm for componentwise perturbations produces reliable estimates, and the new derived computable bound for the componentwise backward error is sharp and reliable for well-conditioned and moderate ill-conditioned ⋆-Sylvester equations under large or small perturbations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PERTURBATION theory
*ALGORITHMS
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 94
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 124311967
- Full Text :
- https://doi.org/10.1080/00207160.2017.1280155