| 矩阵乘法的推广及运用 |
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| 引用本文： | 徐斌,李胜平.矩阵乘法的推广及运用[J].大学数学,2013(5):87-91. |
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| 作者姓名： | 徐斌 李胜平 |
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| 作者单位： | 普洱学院数学系,云南普洱665000 |
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| 摘 要： | 利用矩阵的Kronecker积定义了一种矩阵乘积"*积",并且对这种乘积的性质进行了研究,发现它对于任意两个矩阵都有意义而且具有通常矩阵乘积的所有性质,并且在一些特殊情况下它比通常的矩阵乘积更和谐对称,而且当在"合适维数"下它就是通常的矩阵乘积,所以可以把这种"*积"看作是对通常矩阵乘积的推广.
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| 关 键 词： | 矩阵 Cayley积 Kronecker积 ＊积 |
Promotion and Application of Matrix Product |
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| XU Bin,LI Sheng-ping.Promotion and Application of Matrix Product[J].College Mathematics,2013(5):87-91. |
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| Authors: | XU Bin LI Sheng-ping |
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| Institution: | (Department of Mathematics, Puer University, Puer, Yunnan 665000, China) |
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| Abstract: | ＂＊ product＂ is defined and studied by matrix Kronecker product, We found it not only has usually properties of matrix product , but also has more harmonious and symmetrical properties than usually Matrix product in some special circumstances. In suitable dimension , ＂ ＊ product＂ and usually matrix product are the same, since product is considered as the promotion of usually matrix product. |
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| Keywords: | matrix Cayley product Kronecker product ＊ product |
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