Structured distance to normality of tridiagonal matrices

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Bebiano, N (Author) Other; Susana Borges Furtado (Author) FEP

Journal

Title: Linear Algebra and Its Applications

Vol. 552

Pages: 239-255

ISSN: 0024-3795

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 8 Citations

Scopus - 8 Citations

Other information

Authenticus ID: P-00N-YVX

DOI: 10.1016/j.laa.2018.04.023

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17