Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP w...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Chen, Hsin-Chu (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Urbana, Ill. 1990
Schriftenreihe:	Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 979
Schlagworte:	Matrices
Zusammenfassung:	Abstract: "In this paper we introduce two special classes of matrices U and V in C[superscript nxn] which are a generalization of reflexive and antireflexive matrices and present their fundamental properties. The matrices U and V have the relations U=P[superscript*]UP and V=-P[superscript*]VP where the superscript * denotes the conjugate transpose and P is some unitary matrix of order n with the property P[superscript k]=I, K[greater than or equal to]2. I is the identity matrix, and k is assumed to be the smallest positive integer for which the relations hold. The matrices U and V are referred to as circulative and anticirculative matrices, respectively After introducing these two classes of matrices and developing general theories associated with them, we then discuss their special cases and in particular define another two special classes of matrices, to be referred to as rotative and antirotative matrices, which are a special case of the circulative/anticirculative matrices on one hand and a generalization of (block) circulant/anticirculant matrices on the other.
Beschreibung:	12 S.