A Note on Eigenvalues of Hermite Matrix
A Note on Eigenvalues of Hermite Matrix作者机构:Department of Applied Mathematics Shanghai Normal University Shanghai 200234 P. R. China
出 版 物:《Journal of Mathematical Research and Exposition》 (数学研究与评论(英文版))
年 卷 期:2010年第30卷第4期
页 面:751-755页
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金: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) Leading Academic Discipline Project of Shanghai Normal University(Grant No.DZL707)
主 题:eigenvalues matrix product orthonormal vector Hermitian matrix.
摘 要:This note investigates the relationship of eigenvalues of Hermitian matrices P and UPU+ with UU+ = Ik and k ≤ n. We present several equivalent conditions for λi(UPU+) = λi(P) (i ≤ k ≤ n).