A Three-Way Jordan Canonical Form as Limit of Low-Rank Tensor Approximations

DOI10.1137/120875806zbMath1273.15013OpenAlexW1986680416MaRDI QIDQ2848627

Alwin Stegeman

Publication date: 26 September 2013

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

Full work available at URL: https://pure.rug.nl/ws/files/15109626/Stegeman_SIMAX_2013_.pdf

zbMATH Keywords

Jordan canonical formtensor decompositionlow-rank approximationblock decompositionCandecompParafacdiverging components

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Eigenvalues, singular values, and eigenvectors (15A18) Decomposition methods (49M27) Multilinear algebra, tensor calculus (15A69) Matrix pencils (15A22)

Related Items (8)

Finding the limit of diverging components in three-way Candecomp/Parafac -- a demonstration of its practical merits ⋮ The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor ⋮ A note on the three-way generalization of the Jordan canonical form ⋮ On best rank-2 and rank-(2,2,2) approximations of order-3 tensors ⋮ Jordan canonical form of three-way tensor with multilinear rank \((4,4,3)\) ⋮ The Dynamics of Swamps in the Canonical Tensor Approximation Problem ⋮ Systems of Polynomial Equations, Higher-Order Tensor Decompositions, and Multidimensional Harmonic Retrieval: A Unifying Framework. Part II: The Block Term Decomposition ⋮ On the Uniqueness and Perturbation to the Best Rank-One Approximation of a Tensor

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