ψS-orthogonal matrices and ψS-symmetries

Let GLn(C) denote the set of n-by-n nonsingular matrices with entries from the field C of complex numbers. For any S∈GLn(C), define the map ψS:GLn(C)→GLn(C) by ψS(A)=SA−1‾S−1. A matrix A∈GLn(C) is said to be ψS-orthogonal if ψS(A)=A−1. A ψS-orthogonal H is called a ψS-symmetry if rank(H−I)=1. We giv...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Linear algebra and its applications 2020-01, Vol.584, p.185-196
Hauptverfasser:	Agapito, Theeex D., Paras, Agnes T.
Format:	Artikel
Sprache:	eng
Schlagworte:	(Left) coneigenvector [formula omitted]-orthogonal matrices [formula omitted]-symmetry Complex numbers Coneigenvalue Consimilarity Left eigenvector Linear algebra Mathematical analysis Matrix methods
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!