Volume 5, Issue 1
Perturbation of Angles Between Linear Subspaces

J. Comp. Math., 5 (1987), pp. 58-61

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• Abstract

We consider in this note how the principal angles between column space 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). concide 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].

• History

Published online: 1987-05

• Keywords