Intertwining and testing matrices corresponding to a polynomial (Q1090386)
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: Intertwining and testing matrices corresponding to a polynomial |
scientific article; zbMATH DE number 4006446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intertwining and testing matrices corresponding to a polynomial |
scientific article; zbMATH DE number 4006446 |
Statements
Intertwining and testing matrices corresponding to a polynomial (English)
0 references
1987
0 references
The concept of the class of intertwining matrices for a polynomial f of degree \(m\leq n\) is introduced with the property that a matrix H belongs to the family of all \(n\times n\) Hankel matrices compatible with f if and only if \(HR^ T=RH\) for all R belonging to the class of intertwining matrices for f. A characterization of ''testing matrices'' is also given.
0 references
companion matrix
0 references
intertwining matrices
0 references
Hankel matrices
0 references
testing matrices
0 references
