| 三矩阵左半张量积的加权Moore-Penrose |
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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[J]. 山东大学学报(理学版), 2009, 44(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： | 华东师范大学数学系， 上海 200241
聊城大学数学科学学院, 山东 聊城 2520 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=(C+LK⊕It )(B+NL⊕Ip)A+MN 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, |
| 收稿时间： | 2008-09-17 |
Reverse order law for the weighted Moore-Penrose inverse of a triple left matrix semi tensor product |
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| SONG Cai-Qin,DIAO Jian-Li,WANG Xiao-Dong. Reverse order law for the weighted Moore-Penrose inverse of a triple left matrix semi tensor product[J]. Journal of Shandong University, 2009, 44(10): 80-86 |
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| Authors: | SONG Cai-Qin DIAO Jian-Li WANG Xiao-Dong |
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| Affiliation: | Department of Mathematics, East China Normal University, Shanghai 200241, China;School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China Department of Mathematics ＆Physics, Shijiazhuang Railway Institute, Shijiaz huang 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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