Inverse eigenvalue problem for some special matrices (Q920178)
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: Inverse eigenvalue problem for some special matrices |
scientific article; zbMATH DE number 4163078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse eigenvalue problem for some special matrices |
scientific article; zbMATH DE number 4163078 |
Statements
Inverse eigenvalue problem for some special matrices (English)
0 references
1990
0 references
Let \(B_ n\) be that \(n\times n\) lower triangular matrix the lower part of which consists of ones only. Let further \(\alpha,\beta,\lambda_ 1,...,\lambda_ n\) be given complex numbers. Then a diagonal matrix \(D_ n\) can be constructed such that the eigenvalues of the matrix \(D_ n+\alpha B_ n+\beta B^ T_ n\) are the numbers \(\lambda_ 1,...,\lambda_ n\).
0 references
inverse eigenvalue problem
0 references
triangular matrix
0 references
eigenvalues
0 references
