奇异的可对称化矩阵特征值的扰动界

Perturbation bounds for the eigenvalues of singular symmetrizable matrices

利用矩阵的分解和矩阵计算方面的技巧,得到了奇异的可对称化矩阵特征值新的扰动上界,所得结论改进了以往的结果,得到了三个全新的上界定理.

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