盖尔同心圆盘的分离  

On the Separation of Gerschgorin Disks

作　　者：魏国祥[1] 沈玲文 WEI Guoxiang;SHEN Lingwen(Faculty of Education,Sichuan Vocational and Technical College,Suining 629000,China;Gaoping No.5 Primary School,Nanchong 637600,China)

机构地区：[1]四川职业技术学院教师教育学院,四川遂宁629000 [2]南充市高坪第五小学,四川南充637600

出　　处：《四川职业技术学院学报》2022年第4期159-162,共4页Journal of Sichuan Vocational and Technical College

摘　　要：盖尔圆盘定理是矩阵特征值分布估计的一个基本定理,常利用可逆对角阵进行相似变换,使包含不同特征值的圆盘分离,但对于两个同心圆盘,对角相似变换后仍为同心圆盘.本文利用一简单矩阵进行相似变换,可将两个重叠圆心进行反向平移,从而尽可能分离圆盘.The Gerschgorin's Theorem is a classical theorem for eigenvalue estimation,similarity transformations using diagonal matrix are always used to separate intersected disks,but it does not work when two disks share the same center.In this paper,another simple similarity transform is proposed to move the two overlapping centers in the opposite direction,and then separate the disks.

关 键 词：盖尔圆盘定理 特征值估计 分布区域 同心圆盘 

分 类 号：O151.2[理学—数学]