| 三矩阵左半张量积的加权Moore-Penrose逆的反序律 |
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| 引用本文： | 宋彩芹,;赵建立,;王晓东.三矩阵左半张量积的加权Moore-Penrose逆的反序律[J].山东大学学报(自然科学版),2009(10):80-86. |
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| 作者姓名： | 宋彩芹 ;赵建立 ;王晓东 |
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| 作者单位： | [1]华东师范大学数学系,上海200241; [2]聊城大学数学科学学院,山东聊城252059; [3]石家庄铁道学院数理系,河北石家庄050043 |
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| 基金项目： | 国家自然科学基金资助项目（10771073） |
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| 摘 要： | 给出了三矩阵左半张量积A⊙B⊙C的加权Moore-Penrose逆满足反序律（A⊙B⊙C）MK^＋=（CLK^＋×It）（BNL^＋×Ip）AMN^＋的充要条件。
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| 关 键 词： | 矩阵左半张量积 加权Moore-Penrose逆 反序律 |
Reverse order law for the weighted Moore-Penrose inverse of a triple left matrix semi-tensor product |
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| Institution: | SONG Cai-qin, ZHAO Jian-li, WANG Xiao-dong (1. Department of Mathematics, East China Normal University, Shanghai 200241, China; 2. School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China; 3. Department of Mathematics ＆ Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, Hebei China) |
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| Abstract: | The reverse order law for the weighted Moore-Penrose inverse of a triple matrix left semi-tensor product is investigated,and a necessary and sufficient condition for it is given. |
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| Keywords: | matrix left semi-tensor product weighted Moore-Penrose inverse reverse order law |
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