@Article{JCM-5-1,
author = {},
title = {Perturbation of Angles Between Linear Subspaces},
journal = {Journal of Computational Mathematics},
year = {1987},
volume = {5},
number = {1},
pages = {58--61},
abstract = {<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>},
issn = {1991-7139},
doi = {https://doi.org/1987-JCM-9531},
url = {https://global-sci.com/article/86166/perturbation-of-angles-between-linear-subspaces}
}