Structured distance to normality of tridiagonal matrices

被引：8

作者：

Bebiano, Natalia ^{[1
,2
]}

Furtado, Susana ^{[3
,4
]}

机构：

[1] Univ Coimbra, CMUC, P-3001454 Coimbra, Portugal

[2] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal

[3] CEAFEL, Lisbon, Portugal

[4] Univ Porto, Fac Econ Porto, P-4200464 Porto, Portugal

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 552卷

关键词：

Distance; Structured distance; Frobenius norm; Normal matrix; r-Toeplitz matrix; Tridiagonal matrix; EIGENVALUES; DEPARTURE;

D O I：

10.1016/j.laa.2018.04.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the distance d, measured in the Frobenius norm, of a tridiagonal matrix T to the set I-T of similarly structured irreducible normal matrices. The matrices in the closure of I-T whose distance to T is d are characterized. Known results in the literature for the cases in which T is real or a Toeplitz matrix are recovered. In addition, the special case in which T is a 2-Toeplitz matrix is considered. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：239 / 255

页数：17

共 18 条

[1]

[Anonymous], [No title captured]

[2] ON CONDITION NUMBERS AND THE DISTANCE TO THE NEAREST ILL-POSED PROBLEM [J].