Spectral norm and nuclear norm of a third order tensor

DOI10.3934/jimo.2021010zbMath1499.15077OpenAlexW3123517045MaRDI QIDQ2076375

Liqun Qi, Yanwei Xu, Sheng-Long Hu

Publication date: 16 February 2022

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

Full work available at URL: https://doi.org/10.3934/jimo.2021010

zbMATH Keywords

spectral normnuclear normbiquadratic tensorthird order tensor

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69)

Related Items (5)

On Best Low Rank Approximation of Positive Definite Tensors ⋮ Enhancing low-rank tensor completion via first-order and second-order total variation regularizations ⋮ Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors ⋮ A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition ⋮ Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor

Cites Work

• On tensor completion via nuclear norm minimization
• Conditions for strong ellipticity and M-eigenvalues
• Tensor eigenvalues and their applications
• Relations of the nuclear norm of a tensor and its matrix flattenings
• Bounds on the Spectral Norm and the Nuclear Norm of a Tensor Based on Tensor Partitions
• A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
• Nuclear norm of higher-order tensors
• Tensor and its tucker core: The invariance relationships

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