摘要
在解决张量积多重线性映射问题时,只用矩阵代数知识解决问题有些繁琐,而引入结构矩阵来解决张量积多重线性映射问题,不仅能使问题变得更加简单而且更加容易理解接受.给出了结构矩阵在解决张量积多重线性映射问题时的一些重要应用,经过与用矩阵代数知识解决此问题相比较对照,更显示出用结构矩阵解决问题的优越性.
It is not easy to solve the problem of tensor product multilinear mapping if only matrix algebra knowledge is used. The introduction of structure matrix will make this problem much easier to be solved and more acceptable among people. Some important applications of structure matrix in the tensor product multilinear mapping are given. Compared with the method of matrix algebra knowledge, the proposed method enjoys obvious advantages.
出处
《淮海工学院学报(自然科学版)》
CAS
2008年第4期1-4,共4页
Journal of Huaihai Institute of Technology:Natural Sciences Edition
基金
国家自然科学基金资助项目(10771073)
关键词
结构矩阵
张量积
多重线性映射
structure matrix
tensor semi-product
multilinear mapping