| 行分块矩阵值域上正交投影的展开式 |
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| 引用本文： | 田永革,王玉富.行分块矩阵值域上正交投影的展开式[J].数学研究及应用,2014,34(2):147-154. |
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| 作者姓名： | 田永革 王玉富 |
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| 作者单位： | 中央财经大学中国经济与管理研究院, 北京 100081;郑州测绘学校, 河南 郑州 450052 |
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| 基金项目： | 国家自然科学基金 (Grant No.11271384). |
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| 摘 要： | We give in this note some expansion formulas for the orthogonal projectors onto the range of the row block matrix A, B ], and use the expansion formulas to examine relations among the orthogonal projectors onto the ranges of A, B and A, B]. In particular, we present some identifying conditions for a pair of orthogonal projectors of the same size to commute.
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| 关 键 词： | 正交投影 分块矩阵 公式 投影机 |
| 收稿时间： | 2013/3/27 0:00:00 |
| 修稿时间： | 2013/5/17 0:00:00 |
Expansion Formulas for Orthogonal Projectors onto Ranges of Row Block Matrices |
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| Yongge TIAN and Yufu WANG.Expansion Formulas for Orthogonal Projectors onto Ranges of Row Block Matrices[J].Journal of Mathematical Research with Applications,2014,34(2):147-154. |
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| Authors: | Yongge TIAN and Yufu WANG |
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| Institution: | China Economics and Management Academy, Central University of Finance and Economics, Beijing 100081, P. R. China;Zhengzhou Technical School for Surveying and Mapping, Henan 450052, P. R. China |
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| Abstract: | We give in this note some expansion formulas for the orthogonal projectors onto the range of the row block matrix $\, A, \, B \,]$, and use the expansion formulas to examine relations among the orthogonal projectors onto the ranges of $A$, $B$ and $\, A, \, B \,]$. In particular, we present some identifying conditions for a pair of orthogonal projectors of the same size to commute. |
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| Keywords: | Moore-Penrose inverse orthogonal projector equality inequality rank formula |
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