| 偶数阶张量core逆的性质和应用 |
| |
| 引用本文： | 王宏兴,张晓燕.偶数阶张量core逆的性质和应用[J].数学物理学报(A辑),2021(1):1-14. |
| |
| 作者姓名： | 王宏兴 张晓燕 |
| |
| 作者单位： | 广西民族大学数学与物理学院;湖南城市学院教师教育学院 |
| |
| 基金项目： | 国家自然科学基金(61772006);广西自然科学基金(2018GXNSFAA138181);广西科技基地和人才专项基金(桂科AD19245148)。 |
| |
| 摘 要： | 张量广义逆是张量理论研究的重要内容之一.在近年张量广义逆研究的基础上,该文给出在爱因斯坦积下张量core逆的性质、张量偏序和张量方程A*X = B在条件X∈R(A)下的最小二乘解等.
|
| 关 键 词： | core逆 爱因斯坦积 偏序 张量方程 |
Properties and Applications of the Core Inverse of an Even-Order Tensor |
| |
| Wang Hongxing,Zhang Xiaoyan.Properties and Applications of the Core Inverse of an Even-Order Tensor[J].Acta Mathematica Scientia,2021(1):1-14. |
| |
| Authors: | Wang Hongxing Zhang Xiaoyan |
| |
| Affiliation: | (School of Mathematics and Physics,Guangxi University for Nationalities,Nanning 530006;School of Teacher Education,Hunan City University,Hunan Yiyang 413000) |
| |
| Abstract: | Tensor generalized inverse is one of the important contents of tensor theory research.In this paper,based on the research of tensor generalized inverse in recent years,we obtain some properties of the core inverse of tensor with the Einstein product,a tensor partial ordering based on the core inverse and the least-squares solution of A*χ=B under condition χ ∈ R(A). |
| |
| Keywords: | Core inverse Einstein product Partial ordering Tensor equation |
| 本文献已被 维普 等数据库收录！ |
