Regional Stability and New Eigenvalue Perturbation Bounds

Phuc Tran, Van Vu

Let $A$ be an $n\times n$ symmetric matrix with eigenvalues ${\lambda }_1\ge \cdots \ge {\lambda }_n$. Let $\tilde{A}:=A+E$, where $E$ is a symmetric noise matrix, and denote the eigenvalues of $\tild…