On invariant transformations of matrix dyads
type: Item
instance of: scholarly article
title: On invariant transformations of matrix dyads
zbMATH Open document ID: 0731.15010
author: N. E. Zubov
published in: Southeast Asian Bulletin of Mathematics
publication date: 1991-01-01T00:00:00Z
review text: If \(D_ n\) denotes the set of all distinct ``basic stones'' (dyads) of a matrix with n-complex entry, let T be, for any fixed element \(ab^*\) in \(D_ n\), the matrices satisfying \((Ta)(Tb)^*=ab^*\). Let \(J(ab^*)\) be the set of all T matrices and let \(\tilde T\) be an \(n\times n\) complex matrix for which \(\tilde T^*\tilde T=E\) and \(D_ n(\tilde T)\) the set of all \(ab^*\) of \(D_ n\) for which \((\tilde Ta)(\tilde Tb)^*=ab^*\). The paper gives several structure theorems for \((J(ab^*),\cdot)\) and \((D_ n(\tilde T),\cdot)\).
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 4208284
zbMATH Keywords: invariant transformations
zbMATH Keywords: matrix dyads
zbMATH Keywords: structure theorems
reviewed by: Rodica Covaci
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4208284