奇异子空间的加法相对扰动界

Additive Relative Perturbation Bounds of Singular Subspaces

给出了奇异子空间Wledin sin θ型定理的一个相对扰动界;另外,通过使用不同的相对分离度给出左、右奇异子空间各自的扰动界,改进了以往相应的结果.

We present a relative perturbation bound of singular subspaces for the Wedin＇s sin Θ type bound. On the other hand, perturbation bounds for both right and left singular subspaces are also given by using different relative gaps, respectively. Our results are better than the existing bounds in some sense.