On Uniqueness of the nth Order Tensor Decomposition into Rank-1 Terms with Linear Independence in One Mode

DOI10.1137/090779632zbMath1214.15006OpenAlexW2097508397MaRDI QIDQ3079756

Alwin Stegeman

Publication date: 2 March 2011

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090779632

zbMATH Keywords

uniquenesstensor decompositioncandecompparafac

Mathematics Subject Classification ID

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

Related Items (7)

Separability of Hermitian tensors and PSD decompositions ⋮ The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor ⋮ Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method ⋮ Uni-mode uniqueness conditions for CANDECOMP/PARAFAC decomposition of \(n\)-way arrays with linearly dependent loadings ⋮ Numerical tensor calculus ⋮ Incremental CP Tensor Decomposition by Alternating Minimization Method ⋮ Coupled Canonical Polyadic Decompositions and (Coupled) Decompositions in Multilinear Rank-$(L_r,n,L_r,n,1)$ Terms---Part I: Uniqueness

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