15 citations · 114 across the 30 of their papers we have counts for
12 papers · 1 filter
Low Rank Approximation of Dual Complex Matrices
Liqun Qi, David M. Alexander, Zhongming Chen +2
Dual complex numbers can represent rigid body motion in 2D spaces. Dual complex matrices are linked with screw theory, and have potential applications in various areas. In this pap…
Tubal Matrices
Liqun Qi, Ziyan Luo
It was shown recently that the f-diagonal tensor in the T-SVD factorization must satisfy some special properties. Such f-diagonal tensors are called s-diagonal tensors. In this pap…
ST-SVD Factorization and s-Diagonal Tensors
Chen Ling, Jinjie Liu, Chen Ouyang +1
A third order real tensor is mapped to a special f-diagonal tensor by going through Discrete Fourier Transform (DFT), standard matrix SVD and inverse DFT. We call such an f-diagona…
An Orthogonal Equivalence Theorem for Third Order Tensors
Liqun Qi, Chen Ling, Jinejie Liu +1
In 2011, Kilmer and Martin proposed tensor singular value decomposition (T-SVD) for third order tensors. Since then, T-SVD has applications in low rank tensor approximation, tensor…
T-Singular Values and T-Sketching for Third Order Tensors
Liqun Qi, Gaohang Yu
Based upon the T-SVD (tensor SVD) of third order tensors, introduced by Kilmer and her collaborators, we define T-singular values of third order tensors. T-singular values of third…
A Parallelizable Method for Missing Internet Traffic Tensor Data
Chen Ling, Gaohang Yu, Liqun Qi +1
Recovery of internet network traffic data from incomplete observed data is an important issue in internet network engineering and management. In this paper, by fully combining the…