@article {17678,
	title = {A Residual Inverse Power Method},
	volume = {UMIACS-TR-2007-09},
	year = {2007},
	month = {2007/02//},
	institution = {Instititue for Advanced Computer Studies, Univ of Maryland, College Park},
	abstract = {The inverse power method involves solving shifted equations of theform $(A -\sigma I)v = u$.  This paper describes a variant method in
which shifted equations may be solved to a fixed reduced accuracy
without affecting convergence.  The idea is to alter the right-hand
side to produce a correction step to be added to the current
approximations.  The digits of this step divide into two parts:
leading digits that correct the solution and trailing garbage.  Hence
the step can be be evaluated to a reduced accuracy corresponding to
the correcting digits.  The cost is an additional multiplication by
$A$ at each step to generate the right-hand side.  Analysis and
experiments show that the method is suitable for normal and mildly
nonnormal problems.
},
	keywords = {Technical Report},
	url = {http://drum.lib.umd.edu/handle/1903/4260},
	author = {Stewart, G.W.}
}
