论文标题
线性操作员方程的扰动分析使用伪谱和条件伪谱
Perturbation analysis for the linear operator equation using pseudospectrum and condition pseudospectrum
论文作者
论文摘要
在本文中，我们考虑了Banach空间中的线性操作员方程。与y扰动相对应的溶液X的相对扰动，a的扰动和a，y的扰动的特征是从伪谱和A的条件假期表征。给出了某些示例以说明结果。建立了操作员的伪谱与状态伪谱之间的关系。从操作员的条件伪谱也发现了与操作员的不稳定性的距离和与操作员的奇异性的距离。
In this article, we consider the linear operator equation in a Banach space. The relative perturbation of the solution x corresponding to the perturbation of y, the perturbation of A and the perturbation of both A, y are characterized from the pseudospectrum and the condition pseudospectrum of A. Certain examples are given to illustrate the results. A relation between the pseudospectrum and the condition pseudospectrum of an operator are established. The distance to instability and the distance to singularity of an operator are also found from the condition pseudospectrum of the operator.
