Name
Abstract | ||
|---|---|---|
Let M be an n × n square matrix and let $p(\lambda)$ be a monic polynomial of degree n. Let $\mathcal{Z}$ be a set of n × n matrices. The multiplicative inverse eigenvalue problem asks for the construction of a matrix $Z\in\mathcal{Z}$ such that the product matrix MZ has characteristic polynomial $p(\lambda)$. In this paper we provide new necessary and sufficient conditions when $\mathcal{Z}$ is an affine variety over an algebraically closed field. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0895479800378192 | SIAM Journal on Matrix Analysis and Applications |
Keywords | Field | DocType |
eigenvalue completion,inverse eigenvalue problems,dominant morphism theorem | Characteristic polynomial,Combinatorics,Multiplicative inverse,Matrix (mathematics),Affine variety,Square matrix,Monic polynomial,Eigenvalues and eigenvectors,Algebraically closed field,Mathematics | Journal |
Volume | Issue | ISSN |
23 | 2 | 0895-4798 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joachim Rosenthal | 1 | 142 | 17.90 |
| Xiaochang A. Wang | 2 | 22 | 5.95 |