Power normal matrices

• Type: Article in International Scientific Journal
• Date: 2022-04

Authors

Susana Borges Furtado (Author) FEP; Johnson, CR (Author) Other

Journal

Title: LINEAR & MULTILINEAR ALGEBRA

Vol. 70, No. 20

Pages: 5423 -5432

ISSN: 0308-1087

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00T-VKW

DOI: 10.1080/03081087.2021.1917499

Abstract (EN): Over a general field and for an arbitrary positive integer k, those triangular matrices whose kth power is diagonal are explicitly characterized. This is then used to characterize those complex matrices whose kth power is normal. This gives corresponding results for matrices whose kth power is Hermitian or real symmetric. Our results generalize and imply a recent result about eventually normal and eventually Hermitian matrices.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10