Name
Abstract | ||
|---|---|---|
Let $A$ and $B$ be $n\times n$ complex matrices. Characterization is given for the set ${\cal E}(A,B)$ of eigenvalues of matrices of the form $U^*AU+V^*BV$ for some unitary matrices $U$ and $V$. Consequences of the results are discussed and computer algorithms and programs are designed to generate the set ${\cal E}(A,B)$. The results refine those of Wielandt on normal matrices. Extensions of the results to the sum of matrices from three or more unitary similarity orbits are also considered. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070699123 | SIAM J. Matrix Analysis Applications |
Keywords | Field | DocType |
complex matrix,normal matrix,times n,cal e,davis-wielandt shell.,unitary similarity orbit,unitary similarity orbits,unitary matrix,sum of matrices,. eigenvalues,computer algorithm,eigenvalues,normal matrices | Linear algebra,Combinatorics,Circular ensemble,Matrix (mathematics),Unitary matrix,Unitary state,Higher-dimensional gamma matrices,Eigenvalues and eigenvectors,Mathematics,Normal matrix | Journal |
Volume | Issue | ISSN |
30 | 2 | 0895-4798 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chi-Kwong Li | 1 | 313 | 29.81 |
| Yiu-Tung Poon | 2 | 12 | 2.82 |
| Nung-Sing Sze | 3 | 14 | 4.45 |