New estimations on the upper bounds for the nuclear norm of a tensor

DOI10.1186/s13660-018-1861-1zbMath1498.15031OpenAlexW2896922760WikidataQ58771502 ScholiaQ58771502MaRDI QIDQ824834

Xu Kong, Xiao-Long Wang, Ji-Cheng Li

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1861-1

zbMATH Keywords

tensorupper boundnuclear normorthogonal rank

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Relations of the nuclear norm of a tensor and its matrix flattenings
• Orthogonal Tensor Decompositions
• The Computational Complexity of Duality
• Tensor completion and low-n-rank tensor recovery via convex optimization
• Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
• A Multilinear Singular Value Decomposition
• Nuclear norm of higher-order tensors
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• Tensor Analysis
• On Orthogonal Tensors and Best Rank-One Approximation Ratio

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