A note on the perturbation bounds of eigenspaces for Hermitian matrices

作者：Chen, Xiaoshan; Li, Wen^*

来源：Journal of Computational and Applied Mathematics, 2006, 196(1): 338-346.

DOI：10.1016/j.cam.2005.08.019

• eigenspace
• perturbation bound
• Frobenius norm

Let H be a Hermitian matrix, and (H) over tilde be its perturbed matrix. In this paper, both additive and multiplicative perturbations of eigenspace are studied, and some absolute and relative bounds are presented, which are better than the existing bounds in some sense.

• 出版日期2006-11-1
• 单位华南师范大学