Extremal inverse eigenvalue problem for a special kind of matrices (Q1714639)
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: Extremal inverse eigenvalue problem for a special kind of matrices |
scientific article; zbMATH DE number 7010662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extremal inverse eigenvalue problem for a special kind of matrices |
scientific article; zbMATH DE number 7010662 |
Statements
Extremal inverse eigenvalue problem for a special kind of matrices (English)
0 references
1 February 2019
0 references
Summary: We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices.
0 references
