一般矩阵特征值的相对扰动上界

Upper Bounds of Relative Perturbation for Eigenvalues of Arbitrary Matrices

利用矩阵的约当分解、Schur三角分解以及计算技巧,深入探讨了任意矩阵特征值的相对扰动问题.在矩阵特征值绝对扰动的基础上,得到了全新的任意矩阵特征值的相对扰动上界,所得结果推广了原有的结论.

The relative perturbation problem of eigenvalues of arbitrary matrices is investigated using the Jordan decomposition of matrixes, the Schur triangular decomposition and the calculating techniques for matrixes. The new upper bounds of relative perturbation of arbitrary matrices are obtained on the basis of the absolute perturbation of matrices and the results generalize the original conclusions.