Transformed singular values and spectral norms of third-order tensors

DOI10.3934/jimo.2022204OpenAlexW4312462622MaRDI QIDQ2691497

Chen Ling, Hongjin He, Wenhui Xie

Publication date: 29 March 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2022204

zbMATH Keywords

spectral normT-productthird-order tensorT-SVD factorizationT-singular value

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Tensor Decompositions and Applications
• Tensor-Train Decomposition
• Factorization strategies for third-order tensors
• Tensor-tensor products with invertible linear transforms
• T-product factorization method for internet traffic data completion with spatio-temporal regularization
• Facial Recognition Using Tensor-Tensor Decompositions
• Robust tensor completion using transformed tensor singular value decomposition
• A Multilinear Singular Value Decomposition
• Framelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion
• Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging
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