TY - JOUR
T1 - Perturbation of Angles Between Linear Subspaces
AU - Ji-Guang Sun
JO - Journal of Computational Mathematics
VL - 1
SP - 58
EP - 61
PY - 1987
DA - 1987/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9531.html
KW - 
AB - <p style="text-align: justify;">We consider in this note how the principal angles between column spaces R(A) and R(B) change when the elements in A and B are subject to perturbations. The basic idea in the proof of our results is that the non-zero cosine values of the principal angles between R(A) and R(B) coincide with the non-zero singular values of $P_AP_B$, the product of two orthogonal projections, and consequently we can apply a perturbation theorem of orthogonal projections proved by the author[4].</p>