多边矩阵的块拉长Te运算

罗纯，马萱航，夏琪祺，等. 多边矩阵的块拉长Te运算[J]. 应用技术学报，2022，22（3）：289-294.. DOI: 10.3969/j.issn.2096-3424.2022.03.016

引用本文:

罗纯，马萱航，夏琪祺，等. 多边矩阵的块拉长Te运算[J]. 应用技术学报，2022，22（3）：289-294.. DOI: 10.3969/j.issn.2096-3424.2022.03.016

LUO Chun, MA Xuanhang, XIA Qiqi, JIA Junle, PAN Xiang, ZHANG Yingshan. Generalized Tensor Te of Multilateral Matrices[J]. Journal of Technology, 2022, 22(3): 289-294. DOI: 10.3969/j.issn.2096-3424.2022.03.016

Citation:

LUO Chun, MA Xuanhang, XIA Qiqi, JIA Junle, PAN Xiang, ZHANG Yingshan. Generalized Tensor Te of Multilateral Matrices[J]. Journal of Technology, 2022, 22(3): 289-294. DOI: 10.3969/j.issn.2096-3424.2022.03.016

多边矩阵的块拉长Te运算

Generalized Tensor Te of Multilateral Matrices

摘要: 对多边矩阵块拉长Te的概念和相关运算进行了分析和介绍，进一步证明了多边矩阵块拉长Te运算的基本定理，同时也给出了一些基本代数性质。在其应用方面，研究了多边矩阵块拉长Te运算和多边矩阵块迹Tr、多边矩阵的其它拉长te, Te^ij, vec_r ,vec_c的关系。

Abstract: The concept and related operations of multilateral matrix block lengthening Te were introduced, and the basic theorem of multilateral matrix block lengthening Te was verified, and some basic algebraic properties were presented. In its application, the relationship among the block Tensor Te of multilateral matrices, the block trace Tr of multilateral matrix, tensor and vector te, Te^ij, vec_r, vec_c of multilateral matrix was studied.

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