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04/22/2020
A Tensor Rank Theory and Maximum Full Rank Subtensors
A matrix always has a full rank submatrix such that the rank of this mat...
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04/22/2020
A Tensor Rank Theory, Full Rank Tensors and The Sub-Full-Rank Property
A matrix always has a full rank submatrix such that the rank of this mat...
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04/22/2020
A Tensor Rank Theory, Full-Rank Tensors and Base Subtensors
A matrix always has a full-rank submatrix such that the rank of this mat...
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04/22/2020
A Tensor Rank Theory and The Sub-Full-Rank Property
One fundamental property in matrix theory is that the rank of a matrix i...
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04/22/2020
A Unified Theory for Tensor Ranks and its Application
In this paper, we present a unified theory for tensor ranks such that th...
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02/06/2020
Triple Decomposition and Tensor Recovery of Third Order Tensors
In this paper, we introduce a new tensor decomposition for third order t...
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02/06/2020
Low Rank Triple Decomposition and Tensor Recovery
A simple approach for matrix completion and recovery is via low rank mat...
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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