几类张量乘积的介绍

The Introduction of Several Kinds of Tensor Product

在张量研究中乘法运算起着重要的作用,而由于张量的复杂性,用定义来计算、张量的乘法十分不便.主要介绍近些年主要研究的几类张量乘积,张量广义乘积、张量爱因斯坦乘积、张量的直积,张量爱因斯坦乘积下的广义逆.

The tensor multiplication plays an important role in tensor study. Due to the complexity of tensors,it is very inconvenient to use tensors to calculate tensor. In the paper,we mainly introduces several kinds of tensor products,the generalized product of tensor and the Einstein product of tensor,and the generalized inverse of tensor with Einstein product.