Normal forms and joint numerical ranges of doubly commuting matrices

A normal form is derived for finite sets of doubly commuting matrices, under simultaneous unitary similarity. The matrices need not be normal, but they commute with each other and with the adjoints of each other. The normal form is further used to study joint numerical ranges of doubly commuting mat...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 301; no. 1; pp. 187 - 194
Main Authors Bolotnikov, V., Rodman, L.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.11.1999
Subjects
Numerical ranges
Tensor products
Unitary similarity
15A27
Tensor products
15A60
Unitary similarity
Numerical ranges
15A21
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Summary:A normal form is derived for finite sets of doubly commuting matrices, under simultaneous unitary similarity. The matrices need not be normal, but they commute with each other and with the adjoints of each other. The normal form is further used to study joint numerical ranges of doubly commuting matrices.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(99)00190-1