TY - RPRT
T1 - Two Simple Residual Bounds for the Eigenvalues of Hermitian Matrices
Y1 - 1998
A1 - Stewart, G.W.
KW - Technical Report
AB - Let $A$ be Hermitian and let the orthonormal columns of $X$ span anapproximate 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)
PB - Instititue for Advanced Computer Studies, Univ of Maryland, College Park
VL - UMIACS-TR-89-123
UR - http://drum.lib.umd.edu/handle/1903/545
ER -