@article {17675,
	title = {A Generalization of Saad{\textquoteright}s Theorem on Rayleigh-Ritz Approximations},
	volume = {UMIACS-TR-99-78},
	year = {2000},
	month = {2000/02/04/},
	institution = {Instititue for Advanced Computer Studies, Univ of Maryland, College Park},
	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)
},
	keywords = {Technical Report},
	url = {http://drum.lib.umd.edu/handle/1903/1050},
	author = {Stewart, G.W.}
}
