| 矩阵左半张量积的(T,S,2)-逆的反序律 |
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| 引用本文： | 宋彩芹,赵建立,李东方. 矩阵左半张量积的(T,S,2)-逆的反序律[J]. 山东大学学报(理学版), 2008, 43(6): 71-76 |
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| 作者姓名： | 宋彩芹 赵建立 李东方 |
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| 作者单位： | 聊城大学数学科学学院,山东,聊城,252059;聊城大学数学科学学院,山东,聊城,252059;聊城大学数学科学学院,山东,聊城,252059 |
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| 摘 要： | 给出了矩阵半张量积的(T,S,2) 逆的反序律成立的充要条件。并证明了等式(A⊙B)+MP=(A+MN(A⊙B))+NP((A⊙B)(B+NPIp))+MN。
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| 关 键 词： | (T S 2)-广义逆 反序律 矩阵左半张量积 |
| 收稿时间： | 2008-01-23 |
The reverse order law for (T,S,2)-inverse of a matrix semi-tensor product |
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| SONG Cai-qin,ZHAO Jian-li,LI Dong-fang. The reverse order law for (T,S,2)-inverse of a matrix semi-tensor product[J]. Journal of Shandong University, 2008, 43(6): 71-76 |
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| Authors: | SONG Cai-qin ZHAO Jian-li LI Dong-fang |
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| Affiliation: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | The necessary and sufficient condition for the validity of the reverse order law for (T, S, 2)-inverse of a matrix semi tensor product was given. In addition, the equality (A⊙B)+MP=(A+MN(A⊙B))+NP((A⊙B)(B+NPIp))+MN was proved. |
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| Keywords: | (T S 2)-generalized inverse reverse order law matrix left semi tensor product |
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