Some Systems of Tensor Equations Under T-Product and their Applications

被引：1
|
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
来源：
FILOMAT | 2021年 / 35卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Tensor equation; Moore-Penrose inverse; General solution; Solvability; Symmetric solution; DECOMPOSITIONS; FACTORIZATION;
D O I：
10.2298/FIL2111663Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：3663 / 3677
页数：15
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