Irreducible, pattern \(k\)-potent ray pattern matrices (Q1603003)
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: Irreducible, pattern \(k\)-potent ray pattern matrices |
scientific article; zbMATH DE number 1758617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irreducible, pattern \(k\)-potent ray pattern matrices |
scientific article; zbMATH DE number 1758617 |
Statements
Irreducible, pattern \(k\)-potent ray pattern matrices (English)
0 references
24 June 2002
0 references
This paper deals with ray patterns, sets of matrices in which each matrix entry is independently specified as 0 or as a product of a certain complex number times all positive real numbers, hence a ray. Irreducible nonzero ray patterns such that \(A^{k+1}=A\) up to similarity by permutations and diagonal matrices are classified in Theorem 10 as being a root of unity times a block circulant in which all the blocks are real.
0 references
ray pattern matrix
0 references
\(k\)-potent matrix
0 references
block circulant matrix
0 references
irreducibility
0 references
