On the variation of the spectrum of a Hermitian matrix

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• 作者：Wen Li^a ; ^{liwen@scnu.edu.cn} ; Seak-Weng Vong^b
• 关键词：Hermitian matrix ; Eigenvalue ; Perturbation
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：70-76
• 全文大小：683 K
• 卷排序：65

文摘

In this paper, we consider the eigenvalue variation for any perturbation of Hermitian matrices, and we obtain two perturbation bounds. The first bound always improves the existing bound, and the second bound also improves the existing one under a suitable condition. A simple example is given for comparing these bounds.