Normal forms and joint numerical ranges of doubly commuting matrices (Q1970517)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Normal forms and joint numerical ranges of doubly commuting matrices |
scientific article; zbMATH DE number 1420055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal forms and joint numerical ranges of doubly commuting matrices |
scientific article; zbMATH DE number 1420055 |
Statements
Normal forms and joint numerical ranges of doubly commuting matrices (English)
0 references
7 June 2000
0 references
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.
0 references
doubly commuting matrices
0 references
normal form
0 references
unitary similarity
0 references
numerical ranges
0 references
