摘要
介绍了多边矩阵的块迹Tr运算概念,证明了多边矩阵的块迹Tr运算的基本定理并给出了一些多边矩阵的块迹Tr运算代数性质。作为应用,研究了多边矩阵的块迹Tr运算和多边矩阵普通乘法,及其多边矩阵Hadamard积的关系。
The concepts of block trace of multilateral matrices are introduced,and proves some basic theorems for the block trace of multilateral matrices,and many of the basic properties of block trace of multilateral matrix subdivision are presented.As applications,researches the relationship among the block trace of multilateral matrices,multiply of multilateral matrix,and Hadamard product of multilateral matrix.
作者
罗纯
李霁菲
张应山
LUO Chun;LI Jifei;ZHANG Yingshan(School of Sciences,Shanghai Institute of Technology,Shanghai 201418,China;Faculty of Economics and Management,East China Normal University,Shanghai 200241,China)
出处
《应用技术学报》
2021年第3期275-282,共8页
Journal of Technology
基金
教育部产学合作协同育人项目(201802112063)
上海应用技术大学横向科研创新项目(J2019-341)资助。
关键词
多边矩阵
多边矩阵的块迹
多边矩阵普通乘法
多边矩阵Hadamard积
multilateral matrices
the block trace of multilateral matrices
multiply of multilateral matrix
Hadamard product of multilateral matrix
