Unitary similarity of a weighted shift matrix to a symmetric matrix

Autor:	Hiroshi Nakazato, Mao-Ting Chien
Rok vydání:	2021
Předmět:	Combinatorics Numerical Analysis Algebra and Number Theory Similarity (network science) Discrete Mathematics and Combinatorics Symmetric matrix Geometry and Topology Shift matrix Unitary state Mathematics Sequence (medicine)
Zdroj:	Linear Algebra and its Applications. 611:356-364
ISSN:	0024-3795
DOI:	10.1016/j.laa.2020.10.036
Popis:	We prove that a weighted shift matrix is unitarily similar to a complex symmetric matrix if and only if its weight sequence is reversible or 2-pivot reversible.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7b1f1f887d6fd164f62c4d54692f4ada https://doi.org/10.1016/j.laa.2020.10.036 Zobrazit plný text záznamu Full Text from ScienceDirect