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01/13/2022
When geometry meets optimization theory: partially orthogonal tensors
Due to the multi-linearity of tensors, most algorithms for tensor optimi...
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04/13/2021
Nondegeneracy of eigenvectors and singular vector tuples of tensors
In this article, nondegeneracy of singular vector tuples, Z-eigenvectors...
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09/30/2019
Biquadratic Tensors, Biquadratic Decomposition and Norms of Biquadratic Tensors
Biquadratic tensors play a central role in many areas of science. Exampl...
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09/24/2019
Tensor Norm, Cubic Power and Gelfand Limit
We establish two inequalities for the nuclear norm and the spectral norm...
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09/24/2019
Norm of Tensor Product, Tensor Norm, Cubic Power and Gelfand Limit
We establish two inequalities for the nuclear norm and the spectral norm...
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09/24/2019
Norm of Tensor Product, Tensor Norm, and Cubic Power of A Third Order Tensor
We establish two inequalities for the nuclear norm and the spectral norm...
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09/24/2019
Nuclear Norm and Spectral Norm of Tensor Product
We show that the nuclear norm of the tensor product of two tensors is no...
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09/04/2019