Hermite矩阵特征值新的相对扰动界

New Relative Perturbation Bounds of Hermite Matrices

利用矩阵的Schur三角分解,研究了一类特殊矩阵的扰动问题,得到了Hermite矩阵特征值的扰动界,所得定理推广并彻底改进了以前的结论。

Using the Schur triangular factorization for matrix, the perturbation issue of a kind of special matrices is studied, and the perturbation bounds of Hermite matrices are obtained. The obtained theorem promotes and improves the previous results.