Two Simple Residual Bounds for the Eigenvalues of Hermitian Matrices
| dc.contributor.author | Stewart, G. W. | en_US |
| dc.date.accessioned | 2004-05-31T22:20:58Z | |
| dc.date.available | 2004-05-31T22:20:58Z | |
| dc.date.created | 1989-12 | en_US |
| dc.date.issued | 1998-10-15 | en_US |
| dc.description.abstract | Let $A$ be Hermitian and let the orthonormal columns of $X$ span an approximate invariant subspace of $X$. Then the residual $R = AX-XM$ $(M=X\ctp AX)$ will be small. The theorems of this paper bound the distance of the spectrum of $M$ from the spectrum of $A$ in terms of appropriate norms of $R$. Appeared in SIAM J. Mat. Anal. Appl. 12 (1991) 205--208. (Also cross-referenced as UMIACS-TR-89-123) | en_US |
| dc.format.extent | 92822 bytes | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/1903/545 | |
| 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-2364 | en_US |
| dc.relation.ispartofseries | UMIACS; UMIACS-TR-89-123 | en_US |
| dc.title | Two Simple Residual Bounds for the Eigenvalues of Hermitian Matrices | en_US |
| dc.type | Technical Report | en_US |