@article {17676,
	title = {A new relative perturbation theorem for singular subspaces},
	journal = {Linear Algebra and its Applications},
	volume = {313},
	year = {2000},
	month = {2000/07/01/},
	pages = {41 - 51},
	abstract = {This note addresses the sensitivity of singular subspaces of a matrix under relative perturbations. It employs a new technique of separating a multiplicative perturbation D into two components: one is the distance of a scalar multiple of D to the nearest unitary matrix Q and the other is the distance of Q to the identity. Consequently, the new bounds reflect the intrinsic differences in how left and right multiplicative perturbations affect left and right singular subspaces.},
	keywords = {Multiplicative perturbation, Relative gap, Relative perturbation theory, Singular subspace},
	isbn = {0024-3795},
	doi = {10.1016/S0024-3795(00)00074-4},
	url = {http://www.sciencedirect.com/science/article/pii/S0024379500000744},
	author = {Li,Ren-Cang and Stewart, G.W.}
}
