On the matrix reorderings \(\Gamma\) and \(\Psi\)
type: Item
instance of: scholarly article
title: On the matrix reorderings \(\Gamma\) and \(\Psi\)
zbMATH Open document ID: 0573.15001
DOI: 10.1016/0024-3795(85)90076-X
author: Clinton J. Oxenrider
author: Richard D. Hill
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: The authors discuss linear transformations of matrices which preserve the Hermitian or positive semidefinite matrices. A choice of basis in the space of matrices corresponds to a reordering of the entries. The authors exhibit the representations of linear transformations relative to several natural choices of bases and relate these to tensor and Kronecker products. The representations are used to infer spectral information for the two most frequently employed linear transformations.
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 3914483
zbMATH Keywords: matrix reorderings
zbMATH Keywords: Hermitian-preserving
zbMATH Keywords: Hermitian matrices
zbMATH Keywords: linear transformations of matrices
zbMATH Keywords: positive semidefinite matrices
zbMATH Keywords: Kronecker products
reviewed by: George Phillip Barker
MaRDI profile type: Publication
cites work: On the completely positive and positive-semidefinite-preserving cones
cites work: Characterizations of sums of dyads and of Kronecker products
cites work: Decomposable tensors as sums of Dyads
cites work: Linear transformations which preserve Hermitian and positive semidefinite operators
cites work: Completely positive and Hermitian-preserving linear transformations
full work available at URL: 0024-3795(85)90076-x
OpenAlex ID: W2042951286
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description: scientific article; zbMATH DE number 3914483