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| Title: | Two Simple Residual Bounds for the Eigenvalues of Hermitian
Matrices |
| Authors: | Stewart, G. W. |
| Type: | Technical Report |
| Issue Date: | 15-Oct-1998 |
| Series/Report no.: | UM Computer Science Department; CS-TR-2364
UMIACS; UMIACS-TR-89-123 |
| 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) |
| URI: | http://hdl.handle.net/1903/545 |
| Appears in Collections: | Technical Reports of the Computer Science Department
Technical Reports from UMIACS
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