A note on the perturbation bounds of eigenspaces for Hermitian matrices
A note on the perturbation bounds of eigenspaces for Hermitian matrices
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DOI：
10.1016/j.cam.2005.08.019
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发表时间：
2006-11
影响因子：
2.4
通讯作者：
Xiao-Shan Chen;Wen Li
中科院分区：
文献类型：
--
作者：
Xiao-Shan Chen;Wen Li
设H是一个Hermitian矩阵，H ∞是它的扰动矩阵.本文研究了特征空间的加性扰动和乘性扰动，给出了一些绝对和相对的界，在某种意义上，这些界优于已有的界。
Let H be a Hermitian matrix, and H˜ 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.