Normal forms and joint numerical ranges of doubly commuting matrices
type: Item
instance of: scholarly article
title: Normal forms and joint numerical ranges of doubly commuting matrices
zbMATH Open document ID: 0948.15011
DOI: 10.1016/S0024-3795(99)00190-1
author: Leiba Rodman
author: Vladimir Bolotnikov
published in: Linear Algebra and its Applications
publication date: 2000-06-07T00:00:00Z
review text: The authors call a finite set of square complex matrices doubly commuting if each matrix commutes with every other matrix and also with the adjoint of every other matrix. A normal form is derived for finite sets of doubly commuting matrices, under simultaneous unitary similarity. This normal form is further used to study joint numerical ranges of doubly commuting matrices.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A27
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 1420055
zbMATH Keywords: doubly commuting matrices
zbMATH Keywords: normal form
zbMATH Keywords: unitary similarity
zbMATH Keywords: numerical ranges
reviewed by: Rabe von Randow
MaRDI profile type: Publication
full work available at URL: s0024-3795(99)00190-1
OpenAlex ID: W2054541116
description: scientific article; zbMATH DE number 1420055