Generalized inverses of tensors via a general product of tensors

被引：0
|
作者：
Lizhu Sun
Baodong Zheng
Yimin Wei
Changjiang Bu
机构：
[1] Harbin Engineering University,College of Science
[2] Harbin Institute of Technology,School of Science
[3] Fudan University,School of Mathematical Sciences, Shanghai Key Laboratory of Contemporary Applied Mathematics
来源：
Frontiers of Mathematics in China | 2018年 / 13卷
关键词：
Tensor; generalized inverse; tensor equation; general product of tensor; 15A09; 15A69; 65F20; 65F15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define the {i}-inverse (i = 1, 2, 5) and group inverse of tensors based on a general product of tensors. We explore properties of the generalized inverses of tensors on solving tensor equations and computing formulas of block tensors. We use the {1}-inverse of tensors to give the solutions of a multilinear system represented by tensors. The representations for the {1}-inverse and group inverse of some block tensors are established.
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页码：893 / 911
页数：18
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