A note on the three-way generalization of the Jordan canonical form

DOI10.1515/math-2018-0078zbMath1444.15006OpenAlexW2887081481WikidataQ129410188 ScholiaQ129410188MaRDI QIDQ1738169

Ming-Hui Li, Lu-Bin Cui

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0078

zbMATH Keywords

Jordan canonical formtensor decompositionlow-rank tensor approximations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (1)

Jordan canonical form of three-way tensor with multilinear rank \((4,4,3)\)

Cites Work

• Tensor Decompositions and Applications
• On the non-existence of optimal solutions and the occurrence of ``degeneracy in the CANDECOMP/PARAFAC model
• Primitive tensors and directed hypergraphs
• Numerical multilinear algebra and its applications
• An eigenvalue problem for even order tensors with its applications
• A Three-Way Jordan Canonical Form as Limit of Low-Rank Tensor Approximations
• Candecomp/Parafac: From Diverging Components to a Decomposition in Block Terms
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• A Multilinear Singular Value Decomposition
• Decompositions of a Higher-Order Tensor in Block Terms—Part I: Lemmas for Partitioned Matrices
• Decompositions of a Higher-Order Tensor in Block Terms—Part II: Definitions and Uniqueness
• Decompositions of a Higher-Order Tensor in Block Terms—Part III: Alternating Least Squares Algorithms
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

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