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

作　　者：逄明贤[1] 

机构地区：[1]北华大学师范学院数学系,吉林132013

出　　处：《数学学报（中文版）》2003年第6期1055-1062,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：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.

关 键 词：Cassini卵形谱包含域 环路 M-矩阵 隔离定理 边界问题 矩阵分析 

分 类 号：O151.21[理学—数学]