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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Published in | Linear algebra and its applications Vol. 301; no. 1; pp. 187 - 194 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier Inc
01.11.1999
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0024-3795 1873-1856 |
DOI: | 10.1016/S0024-3795(99)00190-1 |