| 二元Boolean矩阵的加权Moore-Penrose逆 |
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| 引用本文： | 张荣娥.二元Boolean矩阵的加权Moore-Penrose逆[J].纯粹数学与应用数学,2008,24(3). |
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| 作者姓名： | 张荣娥 |
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| 作者单位： | 宁波大学理学院,浙江,宁波,315211 |
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| 基金项目： | 浙江省自然科学基金，浙江省宁波市自然科学基金 |
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| 摘 要： | 主要研究了二元Boolean矩阵A的加权Moore-Penrose逆的存在性问题,给出了二元Boolean矩阵A的加权Moore-Penrose逆存在的一些充分必要条件,并讨论了加权Moore-Penrose逆存在时的若干等价刻画及惟一性问题.
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| 关 键 词： | Boolean矩阵 对称矩阵 矩阵方程 加权Moore-Penrose逆 |
Weighted Moore-Penrose inverse of Boolean matrix |
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| ZHANG Rong-e.Weighted Moore-Penrose inverse of Boolean matrix[J].Pure and Applied Mathematics,2008,24(3). |
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| Authors: | ZHANG Rong-e |
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| Institution: | ZHANG Rong-e Faculty of Science,Ningbo University,Ningbo 315211,China |
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| Abstract: | The existence for weighted Moore-Penrose inverses of Boolean matrix in binary Boolean algebra are studied, some necessary and sufficient conditions for existence of the weighted Moore-Penrose inverses of Boolean matrix are given, several equivalent describes and unique of the weighted Moore-Penrose inverses for Boolean matrix are discussed. |
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| Keywords: | Boolean matrix symmetric matrix matrix equation weighted Moore-Penrose inverse |
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