奇异可对称化矩阵特征值的扰动上界

Perturbation Bounds for the Eigenvalues of Singular Symmetrizable Matrices

利用矩阵的分解及矩阵的计算技巧,得到了奇异可对称化矩阵特征值新的相对扰动上界,改进了以往的结果,得到3个全新的上界定理。

Using the Jordan decomposition, Schur decomposition and calculation of matrix , three new relative perturbation bounds of singular symmetrizable matrix are obtained. These results improve and extend the corresponding results in some other papers.