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Two Simple Residual Bounds for the Eigenvalues of Hermitian Matrices

dc.contributor.authorStewart, G. W.en_US
dc.description.abstractLet $A$ 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
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dc.relation.ispartofseriesUM Computer Science Department; CS-TR-2364en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-89-123en_US
dc.titleTwo Simple Residual Bounds for the Eigenvalues of Hermitian Matricesen_US
dc.typeTechnical Reporten_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US

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