A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues

被引：0
|
作者：
Malyshev, AN [1 ]
机构：
[1] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
来源：
NUMERISCHE MATHEMATIK | 1999年 / 83卷 / 03期
关键词：
Mathematics Subject Classification (1991):65F15, 65F35;
D O I：
10.1007/s002110050458
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the 2-norm distance from an n x n matrix A to the matrices that have a multiple eigenvalue lambda is equal to [GRAPHICS] where the singular values ar, are ordered nonincreasingly. Therefore, the 2-norm distance from A to the set of matrices with multiple eigenvalues is [GRAPHICS] Mathematics Subject Classification (1991): 65F15, 65F35.
引用
收藏
页码：443 / 454
页数：12
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