A Generalization of Saad's Theorem on Rayleigh-Ritz Approximations
| dc.contributor.author | Stewart, G. W. | en_US |
| dc.date.accessioned | 2004-05-31T23:01:29Z | |
| dc.date.available | 2004-05-31T23:01:29Z | |
| dc.date.created | 1999-12 | en_US |
| dc.date.issued | 2000-02-04 | en_US |
| dc.description.abstract | Let $(\lambda,x)$ be an eigenpair of the Hermitian matrix $A$ of order $n$ and let $(\mu,u)$ be a Ritz pair from a subspace $\clk$ of $\comp^{2}$. Saad has given a simple inequality bounding $\sin\angle(x,u)$ in terms of $\sin\angle(x,\clk)$. In this note we show that this inequality can be extended to an equally simple inequality for eigenspaces of non-Hermitian matrices. (Also cross-referenced as UMIACS-TR-99-78) | en_US |
| dc.format.extent | 104546 bytes | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/1903/1050 | |
| dc.language.iso | en_US | |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_US |
| dc.relation.isAvailableAt | University of Maryland (College Park, Md.) | en_US |
| dc.relation.isAvailableAt | Tech Reports in Computer Science and Engineering | en_US |
| dc.relation.isAvailableAt | UMIACS Technical Reports | en_US |
| dc.relation.ispartofseries | UM Computer Science Department; CS-TR-4095 | en_US |
| dc.relation.ispartofseries | UMIACS; UMIACS-TR-99-78 | en_US |
| dc.title | A Generalization of Saad's Theorem on Rayleigh-Ritz Approximations | en_US |
| dc.type | Technical Report | en_US |