| 广义换位矩阵及其应用 |
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| 引用本文： | 李东方,赵建立,李聪慧,宋彩芹.广义换位矩阵及其应用[J].数学的实践与认识,2008,38(18). |
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| 作者姓名： | 李东方 赵建立 李聪慧 宋彩芹 |
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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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| 摘 要： | 给出了广义换位矩阵的定义,推导出其主要性质,然后讨论了同一高维数组按不同指标索引的排列之间的相互关系,最后给出广义换位矩阵在矩阵半张量积和张量场中的应用.
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| 关 键 词： | 高维数组 换位矩阵 矩阵的半张量积 广义换位矩阵 张量场 |
Generalized Commutation Matrix and Its Applications |
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| LI Dong-fang,ZHAO Jian-li,LI Cong-hui,SONG Cai-qin.Generalized Commutation Matrix and Its Applications[J].Mathematics in Practice and Theory,2008,38(18). |
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| Authors: | LI Dong-fang ZHAO Jian-li LI Cong-hui SONG Cai-qin |
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| Abstract: | The definition of generalized commutation matrix is presented.Its properties are investigated.Then the relationship of the identical multi-demensional array with the different index arrangement.Finally the applications of generalized commutation matrix in semi-tensor product of matrices and tensor field are introduced. |
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| Keywords: | multi-demensional array commutation matrix semi-tensor product of matrices generalized commutation matrix tensor field |
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