正规矩阵特征值的相对扰动上界

The Relative Perturbation Upper Bounds for the Eigenvalues of Normal Matrices

通过引入正规性偏离度的概念,并利用矩阵的分解和矩阵的计算技巧,得到了全新的正规矩阵特征值的相对扰动上界,并且所得的结果推广了Wielandt-Hoffman定理。

By introducing the concept of the degree of deviation from normality,and utilizing the skills of matrix decomposition and matrix calculation the paper obtains the relative perturbation upper bounds for the eigenvalues of normal matrices.The results we get extend the Wielandt-Hoffman theorem.