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math.SP2021
A Study on Nonnegative Tubal Matrices
Yuning Yang, Junwei Zhang
Tubal scalars are usual vectors, and tubal matrices are matrices with every element being a tubal scalar. Such a matrix is often recognized as a third-order tensor. The product bet…
math.SP2021
On the Largest Singular Value/Eigenvalue of a Random Tensor
Yuning Yang
This short note presents upper bounds of the expectations of the largest singular values/eigenvalues of various types of random tensors in the non-asymptotic sense. For a standard…