✦ LIBER ✦

Normal forms and joint numerical ranges of doubly commuting matrices

✍ Scribed by V. Bolotnikov; L. Rodman

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 74 KB
Volume: 301
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00190-1

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✦ Synopsis

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.