15 citations · 27 across the 13 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.OC2020★ 3 cited
A Low Rank Quaternion Decomposition Algorithm and Its Application in Color Image Inpainting
Yannan Chen, Liqun Qi, Xinzhen Zhang +1
In this paper, we propose a lower rank quaternion decomposition algorithm and apply it to color image inpainting. We introduce a concise form for the gradient of a real function in…
math.RA2020★ 1 cited
A Tensor Rank Theory and Maximum Full Rank Subtensors
Liqun Qi, Xinzhen Zhang, Yannan Chen
A matrix always has a full rank submatrix such that the rank of this matrix is equal to the rank of that submatrix. This property is one of the corner stones of the matrix rank the…
math.NA2020★ 2 cited
Triple Decomposition and Tensor Recovery of Third Order Tensors
Liqun Qi, Yannan Chen, Mayank Bakshi +1
In this paper, we introduce a new tensor decomposition for third order tensors, which decomposes a third order tensor to three third order low rank tensors in a balanced way. We ca…