| 分块矩阵取得极值秩的条件 |
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| 引用本文： | 李晓彬,刘永辉.分块矩阵取得极值秩的条件[J].数学的实践与认识,2011,41(4). |
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| 作者姓名： | 李晓彬 刘永辉 |
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| 作者单位： | 上海金融学院,应用数学系,上海,201209 |
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| 基金项目： | 上海市自然科学基金(10ZR1420600); 上海市教委科研创新项目(11zz182) |
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| 摘 要： | 证明了如何选取矩阵X,Y和Z使得下面的分块矩阵(AXYZ)取得它的极大秩和极小秩,这里A∈C~(m×n)是一个已知矩阵,X∈C~(m×k),Y∈C~(p×n)和Z∈C~(p×k)是三个任意矩阵.
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| 关 键 词： | 分块矩阵 极大秩 极小秩 |
The Conditions for the Partitioned Matrix Attains its Extremal Ranks |
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| LI Xiao-bin,LIU Yong-hui.The Conditions for the Partitioned Matrix Attains its Extremal Ranks[J].Mathematics in Practice and Theory,2011,41(4). |
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| Authors: | LI Xiao-bin LIU Yong-hui |
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| Institution: | LI Xiao-bin,LIU Yong-hui (Department of Applied Mathematics,Shanghai Finance University,Shanghai 201209,China) |
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| Abstract: | This note,we show that how to choose the variable matrices X,Y and Zsuch that the partitioned matrixAXYZ]attain its maximal and minimal rank,whereA∈C~(m×n) is a known matrix,X∈C~(m×k),Y∈C~(p×n) and Z∈C~(p×k) are three variablematrices. |
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| Keywords: | partitioned matrix maximal rank minimal rank |
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