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

页码：443 / 454

页数：12

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