| 矩阵左半张量积的推广——泛张量积及其性质 |
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| 引用本文： | 郑义,赵建立,李成允.矩阵左半张量积的推广——泛张量积及其性质[J].聊城师院学报,2009(1):22-24. |
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| 作者姓名： | 郑义 赵建立 李成允 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 国家自然科学基金资助课题（10771073） |
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| 摘 要： | 通过对程代展教授在文献7]中提出的左半张量积的概念进行推广,得到了一种更为普遍的矩阵乘法,称做泛张量积.然后,比较了它与矩阵普通乘法已经与张量积,半张量积间的关系,并且给出了它的一些重要性质.
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| 关 键 词： | 矩阵 张量积 左半张量积 泛张量积 |
Promotion of a Left Semi-tensor Product-Extensive-tensor Product and Its Property |
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| ZHENG Yi,ZHAO Jian-li,LI Cheng-yun.Promotion of a Left Semi-tensor Product-Extensive-tensor Product and Its Property[J].Journal of Liaocheng Teachers University(Natural Science Edition),2009(1):22-24. |
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| Authors: | ZHENG Yi ZHAO Jian-li LI Cheng-yun |
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| Institution: | (School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | This paper proposes a new matrix product,namely,extensive-tensor product by widening left semi-tensor product which is introduced by Professor Dai-zhan Chen in paper. It is a generalization of the conventional. The comparision between the new product with both conventinal product and Kronecker （tensor） product is presented. And certain important properties and theorems are deduced. |
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| Keywords: | matrix tensor product left semi-tensor product extensive-tensor product |
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