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

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.