| 关于复正规矩阵的Greub-Rheinboldt不等式和Courant-Fisher定理 |
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| 引用本文： | 卢曦,周继东.关于复正规矩阵的Greub-Rheinboldt不等式和Courant-Fisher定理[J].淮阴工学院学报,2008,17(1):13-18. |
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| 作者姓名： | 卢曦 周继东 |
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| 作者单位： | 河海大学,理学院,南京,210098 |
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| 摘 要： | 利用复正规矩阵的一个分解和Gersgorin网盘定理等工具将经典的关于正定Hermite矩阵的Greub-Rheinboldt不等式和关于Hermite矩阵的Courant-Fisher定理推广到复正规矩阵的情形，得到了关于复正规矩阵的两个结论。
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| 关 键 词： | 复正规矩阵 Greub-Rheinboldt不等式 Courant-Fisher定理 |
| 文章编号： | 1009-7961(2008)01-0013-06 |
| 修稿时间： | 2007年10月30 |
Greub-Rheinboldt Inequality and Courant-Fisher Theorem on Complex Normal Matrix |
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| LU Xi,ZHOU Ji-dong.Greub-Rheinboldt Inequality and Courant-Fisher Theorem on Complex Normal Matrix[J].Journal of Huaiyin Institute of Technology,2008,17(1):13-18. |
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| Authors: | LU Xi ZHOU Ji-dong |
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| Affiliation: | LU Xi , ZHOU Ji -dong ( College of Science, Hohai University, Nanjing 210098 , China) |
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| Abstract: | By using a kind of decomposition of complex normal matrix and Gersgorin disc theorem,the classical Greub-Rheinboldt inequality on the case of positive definite Hermite matrix and the classical Courant-Fisher theorem on the case of Hermite matrix are improved to the case of the complex normal matrix,so two results can be obtained on the complex normal matrix. |
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| Keywords: | complex normal matrix Greub-Rheinboldt inequality Courant-Fisher theorem |
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