一类特殊矩阵特征值的绝对扰动上界

ABSOLUTE PERTURBATION BOUNDS FOREIGENVALUES OF HERMITE MATRICES

利用矩阵的奇异值分解和矩阵的计算技巧研究了Hermite矩阵特征值的扰动界,得到了Hermite矩阵特征值的绝对扰动上界,对以往的结果进行了改进,并推广了Wielandt-Hoffman定理。

Using the singular value decomposition,some new Wielandt-Hoffman type absolute perturbation bounds of Hermite matrix are obtained.We get the results,which improve and extend the corresponding results in other papers.