多边矩阵的剖面压缩代数和半张量积及其数据挖掘

Compression Algebra of Multilateral Matrix Subdivision and both Half-Tensor Product and Data Mining

摘要: 引入多边矩阵的剖面压缩代数概念，介绍多边矩阵的剖面压缩代数的一些性质，论证了多边矩阵的剖面压缩代数满足结合律和分配律，研究多边矩阵的剖面压缩代数和一般矩阵半张量积、数据挖掘之间的关系，将一般矩阵半张量积的概念推广成一般矩阵压缩半张量积。

Abstract: The concepts of compression algebra of multilateral matrix subdivision were introduced, and many of the basic properties of compression algebra of multilateral matrix subdivision were presented, and both associative law and distributive law for the compression algebra of multilateral matrix subdivision were demonstrated. To promote the concepts of half-tensor product of two matrixes as commonly compression half-tensor product, the relationship among the compression algebra of multilateral matrix subdivision, matrix left half-tensor product, and the data mining was investigated.