Chen Xiao-Shan. Perturbation bounds for singular subspaces under the Frobenius norm[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 1-6 .
Citation:
Chen Xiao-Shan. Perturbation bounds for singular subspaces under the Frobenius norm[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 1-6 .
Chen Xiao-Shan. Perturbation bounds for singular subspaces under the Frobenius norm[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 1-6 .
Citation:
Chen Xiao-Shan. Perturbation bounds for singular subspaces under the Frobenius norm[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 1-6 .
Perturbation bounds for singular subspaces under the Frobenius norm
The double gaps are used to present new perturbation bounds and the condition number for left and right singular subspaces under the Frobenius norm.It is show that the separate bounds are always less than or equal to the joint bound.