文献类型：期刊文献

英文题名：Some Systems of Tensor Equations Under T-Product and their Applications

作者：Yu, Shao-Wen[1];Qin, Wei-Lu[2];He, Zhuo-Heng[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China;[2]Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

年份：2021

卷号：35

期号：11

起止页码：3663

外文期刊名：FILOMAT

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000740154600010)】；

基金：Research supported by the grants from the National Natural Science Foundation of China (Grant No. 11801354), Shanghai Natural Science Foundation (17ZR1407800). The corresponding author is Zhuo-Heng He

语种：英文

外文关键词：Tensor equation; Moore-Penrose inverse; General solution; Solvability; Symmetric solution

摘要：In this paper, some systems of tensor equations under t-product are considered. Some practical necessary and sufficient conditions for the existence of a solution to two systems of tensor equations in terms of the Moore-Penrose inverses are given. The general solutions to the systems of tensor equations are presented when they are solvable. An application of the tensor equations in the solvability conditions and general symmetric solution to a system of tensor equations. Some algorithms and numerical examples are provided to illustrate the main results.