广义Sylvester矩阵方程的局部扰动分析(英文)

Local perturbation analysis for generalized Sylvester matrix equation

研究了一类广义Sylvester矩阵方程的局部扰动分析问题。首先推导出了一个必要的引理,然后给出了扰动方程的绝对扰动界,进而相对扰动界也相应给出。最后通过数字仿真展示了此扰动界的有效性。

The local perturbation analysis of a class of generalized Sylvester matrix equation is con-cerned. At first, a necessary lemma is investigated, and thereby the absolute perturbation bounds is given. Then the relative perturbation bounds is also given. It is shown that the perturbation bounds is effective by numerical simulation.