The semigroup generated by a unitary orbit of a singular matrix

Autor:	A. R. Sourour, Heydar Radjavi
Rok vydání:	2007
Předmět:	Discrete mathematics Singular value Pure mathematics Cancellative semigroup Algebra and Number Theory Rank (linear algebra) Mathematics::Operator Algebras Semigroup Singular solution Multiplicative function Bicyclic semigroup Orbit (control theory) Mathematics
Zdroj:	Linear and Multilinear Algebra. 55:417-428
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081080500423833
Popis:	We investigate the structure of the multiplicative semigroup generated by the set of matrices that are unitarily equivalent to a given singular matrix A. In particular, we give necessary and sufficient conditions, in terms of the singular values of A, for such a semigroup to consist of all matrices of rank not exceeding the rank of A.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f37932f4324628f1e9f0d4e5fe36e22d https://doi.org/10.1080/03081080500423833 Zobrazit plný text záznamu