%0 Journal Article
%J Linear Algebra and its Applications
%D 2000
%T A new relative perturbation theorem for singular subspaces
%A Li,Ren-Cang
%A Stewart, G.W.
%K Multiplicative perturbation
%K Relative gap
%K Relative perturbation theory
%K Singular subspace
%X 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.
%B Linear Algebra and its Applications
%V 313
%P 41 - 51
%8 2000/07/01/
%@ 0024-3795
%G eng
%U http://www.sciencedirect.com/science/article/pii/S0024379500000744
%N 1–3
%R 10.1016/S0024-3795(00)00074-4