Solving Linear Tensor Equations

被引：3
|
作者：
Iosifidis, Damianos [1 ]
机构：
[1] Aristotle Univ Thessaloniki, Dept Phys, Inst Theoret Phys, Thessaloniki 54124, Greece
来源：
UNIVERSE | 2021年 / 7卷 / 10期
关键词：
tensor equations; tensor algebra; linear systems of tensors;
D O I：
10.3390/universe7100383
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We develop a systematic way to solve linear equations involving tensors of arbitrary rank. We start off with the case of a rank 3 tensor, which appears in many applications, and after finding the condition for a unique solution we derive this solution. Subsequently, we generalize our result to tensors of arbitrary rank. Finally, we consider a generalized version of the former case of rank 3 tensors and extend the result when the tensor traces are also included.
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页数：10
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