| A Note on Eigenvalues of Hermite Matrix |
| Received:June 16, 2008 Revised:June 30, 2009 |
| Key Words:
eigenvalues matrix product orthonormal vector Hermitian matrix.
|
| Fund Project:Supported by the Innovation Program of Shanghai Municipal Education Commission (Grant No.08YZ73), Science and Technology Commission of Shanghai Municipality (Grant No.075105118), Shanghai Leading Academic Discipline Project (Grant No.S30405) and Leading A |
|
| Hits: 2768 |
| Download times: 2657 |
| Abstract: |
| This note investigates the relationship of eigenvalues of Hermitian matrices $P$ and $UPU^*$ with $UU^*=I_k$ and $k\leq n$. We present several equivalent conditions for $\lambda_i(UPU^*)=\lambda_i(P)~(i\leq k\leq n)$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.04.020 |
| View Full Text View/Add Comment |
