多边矩阵代数运算的同构定理和数据挖掘  

Isomorphism Theorems and Data Mining of Algebra Operations of Multilateral Matrices

作　　者：罗纯 张应山 

机构地区：[1]上海应用技术大学理学院,上海200235 [2]华东师范大学经济与管理学部,上海200241

出　　处：《应用技术学报》2017年第4期358-364,共7页Journal of Technology

基　　金：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)资助

摘　　要：介绍了多边矩阵的基阵代数运算与剖面代数运算概念,并给出了一些多边矩阵的基阵代数运算与剖面代数运算性质,证明了多边矩阵的基阵代数运算与剖面代数运算是同构的。作为应用,研究了多边矩阵剖面代数运算和数据挖掘之间的关系。The concepts of algebra operations between basic multilateral matrices and subdivision surface of multilateral matrix were introduced, and many of the basic properties of subdivision of these algebra operations were presented, and some isomorphism theorems of these algebra operations were proved. The relationship among the algebra operation of subdivision surface of the multilateral matrix, matrix left half tensor product and the data mining was cnvestigated with an aim of application.

关 键 词：多边矩阵 基阵 剖面代数运算 数据挖掘 

分 类 号：O151.21[理学—数学]