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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,… Click to show full abstract
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.
Keywords:
linear tensor;
tensor;
solving linear;
tensor equations;
rank
Journal Title: Universe
Year Published: 2021
Link to full text (if available)
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Journal Title: Universe
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!