Third-Order Tensors as Linear Operators on a Space of Matrices-Reference-Cited by-同舟云学术

Third-Order Tensors as Linear Operators on a Space of Matrices

Published:2010-12 Issue:7 Volume:433 Page:1241-1253
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Braman Karen

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference8 articles.

1. C.D.M. Martin, Tensor decompositions workshop discussion notes, American Institute of Mathematics, http://www.aimath.org/WWN/tensordecomp/tensordecomp.pdf (Accessed at August, 2008), July 2004.

2. American Institute of Mathematics, http://www.aimath.org/WWN/tensordecomp/ (accessed at August, 2008), July 2004.

3. Decomposing a tensor;Kilmer;SIAM News,2004

4. M.E. Kilmer, C.D. Martin, L. Perrone, A third-order generalization of the matrix SVD as a product of third-order tensors, Tech. Rep. TR-2008-4, Tufts University, Department of Computer Science, October 2008.

Cited by 127 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Tensor robust principal component analysis with total generalized variation for high-dimensional data recovery;Applied Mathematics and Computation;2024-12

2. Poisson tensor completion with transformed correlated total variation regularization;Pattern Recognition;2024-12

3. Block Diagonalization of Block Circulant Quaternion Matrices and the Fast Calculation for T-Product of Quaternion Tensors;Journal of Scientific Computing;2024-07-21

4. Multi-Dimensional Image Recovery via SelfSupervised Nonlinear Transform Based a Three-Directional Tensor Nuclear Norm;Numerical Mathematics: Theory, Methods and Applications;2024-06

5. Perturbation Analysis on T-Eigenvalues of Third-Order Tensors;Journal of Optimization Theory and Applications;2024-05-10