| 多边矩阵的剖面广义交叉乘法和半张量积及其数据挖掘 |
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| 引用本文： | 罗纯,张应山. 多边矩阵的剖面广义交叉乘法和半张量积及其数据挖掘[J]. 上海应用技术学院学报：自然科学版, 2018, 18(4): 360-365 |
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| 作者姓名： | 罗纯 张应山 |
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| 作者单位： | 上海应用技术大学 理学院,华东师范大学 金融与统计学院 |
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| 基金项目： | 上海市教育委员会本科重点课程建设项目(2017年度，No.349)；上海应用技术大学本科重点课程建设项目(10110M171015) |
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| 摘 要： | 介绍了多边矩阵的剖面广义交叉乘法概念,给出了多边矩阵的剖面广义交叉乘法的一些性质,证明了多边矩阵剖面广义交叉乘法满足结合律和分配律。作为应用,研究了多边矩阵剖面广义交叉乘法和一般矩阵半张量积、数据挖掘之间的关系。
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| 关 键 词： | 多边矩阵 基阵 剖分广义交叉乘法 矩阵半张量积 数据挖掘 |
| 收稿时间： | 2018-04-25 |
| 修稿时间： | 2018-06-28 |
Generalized Cross Multiplication of Multilateral Matrix Subdivision and Matrix Left Half-Tensor Product and Data Mining |
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| LUO Chun and ZHANG Yingshan. Generalized Cross Multiplication of Multilateral Matrix Subdivision and Matrix Left Half-Tensor Product and Data Mining[J]. Journal of Shanghai Institute of Technology: Natural Science, 2018, 18(4): 360-365 |
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| Authors: | LUO Chun and ZHANG Yingshan |
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| Affiliation: | School of Sciences, Shanghai Insititute of Technology, Shanghai 201418, China and Faculty of Economits and Management, East China Normal University, Shanghai 200241, China |
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| Abstract: | The concepts of generalized cross multiplication of multilateral matrix subdivision are introduced, and many of the basic properties of The generalized cross multiplication of multilateral matrix subdivision are presented. The associative law and distributive law for The generalized cross multiplication of multilateral matrix subdivision are proved. As applications, the relationship of the generalized cross multiplication of multilateral matrix subdivision with matrix left half-tensor product and the data mining are investigated. |
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| Keywords: | multilateral matrices, basic multilateral matrices, the generalized cross multiplication of multilateral matrix subdivision, matrix left half-tensor product data mining. |
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