Cassini卵形谱包含域的改进及应用

Improvements and Applications of Spectral Inclusion Regions Composed of Cassini's Ovals

本文给出了改进的Cassini卵形谱包含域,讨论了相应的隔离定理及边界问 题,所得结果推广了文[1-4]的相应定理.作为应用得到了M-矩阵的一个新表征.

In this paper, we give an improved spectral inclusion region theorem of Cassini's ovals, and discuss the corresponding isolation theorem and boundary prob-lems. There results improve and generalize the corresponding theorems in [1-4]. As applications we obtain a new representation of the M-matrices.