On the number of unitary similarity classes in a C-S equivalence class: the normal case
type: Item
instance of: scholarly article
title: On the number of unitary similarity classes in a C-S equivalence class: the normal case
zbMATH Open document ID: 0998.15014
DOI: 10.1016/S0024-3795(01)00579-1
author: S. Furtado
author: Charles R. Johnson
published in: Linear Algebra and its Applications
publication date: 2002-06-27T00:00:00Z
review text: A matrix \(B\in{\mathcal M}_n\) is \(C-S\) equivalent to \(A\in{\mathcal M}_n\) if \(B\) is both congruent and similar to \(A\). The paper studies the question of how many unitary similarity classes lie in the \(C-S\) equivalence class of a given matrix \(A\). The case of singular \(A\) is reduced to the nonsingular case in general, and a complete solution to the problem in case \(A\) is normal is given. Differences between the normal and general cases are noted.
reviewed by: Rodica Covaci
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1760982
zbMATH Keywords: congruence
zbMATH Keywords: similarity
zbMATH Keywords: unitary similarity
zbMATH Keywords: \(C-S\) equivalence
zbMATH Keywords: normal matrix
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1760982