@Article{JCM-5-58, author = {}, title = {Perturbation of Angles Between Linear Subspaces}, journal = {Journal of Computational Mathematics}, year = {1987}, volume = {5}, number = {1}, pages = {58--61}, abstract = {

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].

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9531.html} }