| 关于复对称矩阵特征根的补注 |
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| 引用本文： | 王志珍,吴晓林,夏莉.关于复对称矩阵特征根的补注[J].数学研究及应用,2010,30(4):751-755. |
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| 作者姓名： | 王志珍 吴晓林 夏莉 |
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| 作者单位： | 上海师范大学应用数学系, 上海, 200234;上海师范大学应用数学系, 上海 200234;上海师范大学应用数学系, 上海 200234 |
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| 基金项目： | 上海市教委创新项目(Grant No.08YZ73), 上海市科委科技项目(Grant No.075105118), 上海市重点学科(Grant No.S30405), 上海师范大学重点学科资助项目(Grant No.DZL707). |
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| 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).
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| 关 键 词： | eigenvalues matrix product orthonormal vector Hermitian matrix. |
| 收稿时间： | 2008/6/16 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
A Note on Eigenvalues of Hermite Matrix |
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| Zhi Zhen WANG,Xiao Lin WU and Li XIA.A Note on Eigenvalues of Hermite Matrix[J].Journal of Mathematical Research with Applications,2010,30(4):751-755. |
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| Authors: | Zhi Zhen WANG Xiao Lin WU and Li XIA |
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| Institution: | Department of Applied Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China |
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| 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 $\lambda_i(UPU^*)=\lambda_i(P)~(i\leq k\leq n)$. |
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| Keywords: | eigenvalues matrix product orthonormal vector Hermitian matrix |
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