| 分块幂等矩阵广义Schur补的性质 |
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| 引用本文： | 杨晓英,刘新.分块幂等矩阵广义Schur补的性质[J].云南师范大学学报(自然科学版),2009,29(6):18-21. |
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| 作者姓名： | 杨晓英 刘新 |
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| 作者单位： | 云南大学数学与统计学院,云南,昆明,650091 |
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| 摘 要： | 关于复分块矩阵P =（C^A D^B）∈C^m×n的广义Schur补S=A-BD^＋C,T=D-CA^＋B,S=A-BD^gC,T=D-CA^gB,这里,D^＋,A^＋分别代表D,A的Moore-Penrose逆,D^g,A^g分别代表D,A的群逆。这篇文章我们主要给出当P是幂等矩阵时,在一定条件下,P的某些性质成立时,S,T具有同样的性质。
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| 关 键 词： | 幂等矩阵 广义Schur补 |
The Properties of Generalized Schur Complement for Partitioned Idempotent Matrix |
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| YANG Xiao-ying,LIU Xin.The Properties of Generalized Schur Complement for Partitioned Idempotent Matrix[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(6):18-21. |
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| Authors: | YANG Xiao-ying LIU Xin |
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| Institution: | ( The Mathematical Statistical College of Yunnan University, Kunming 650091, China) |
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| Abstract: | This paper is presented that S,T have the same properties under some condition when some prop-erties of P hold, where P is a partitioned idempotent matrix, it can be represented as P =（C^A D^B）∈C^m×n,S=A - BD^＋ C, T = D - CA＆ ＋ B, S = A - BD^g C, T = D - CA^gB are generalized Schur complement, where D ^＋ , A ^＋ , D^g, A^g respectively represents M - P inverse of D and A, group inverse of D and A. |
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| Keywords: | idempotent mztrix generalized Schur complement |
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