4 papers
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…
Scattering of a short electromagnetic pulse from a Lorentz-Duffing film: theoretical and numerical analysis
Moysey Brio, Jean-Guy Caputo, Kyle Gwirtz +2
We combine scattering theory, Fourier, traveling wave and asymptotic analyses together with numerical simulations to present interesting and practically useful properties of femtos…
An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor
Zhongming Chen, Jinjie Liu, Liqun Qi +2
In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper…