In this paper, the writer demonstrates the stability of some special matrices, supplies a method to calculate the supremum and infimum, and analyses the condition to reach them with an example.

• 摘要就特殊矩阵稳定性论证了几个重要定理，给出了特征值上下确界的求法，分析并论证达到上下确界的条件，结合实例给出了论证方法。