A NOTE ON SIN Θ THEOREMS FOR SINGULAR
Subspace Variations, An M. Dopico · 2000
New perturbation theorems for bases of singular subspaces are proved. These theorems complement the known sin Θ theorems for singular subspace perturbations, taking into account a kind of sensitivity of singular vectors discarded by previous theorems. Furthermore these results guarantee that high relative accuracy algorithms for the SVD are able to compute reliably simultaneous bases of left and right singular subspaces.