On the Uniqueness and Perturbation to the Best Rank-One Approximation of a Tensor

DOI10.1137/140975577zbMath1317.65111OpenAlexW588102005MaRDI QIDQ5256539

Yao-Lin Jiang, Xu Kong

Publication date: 18 June 2015

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

Full work available at URL: https://doi.org/10.1137/140975577

zbMATH Keywords

tensoralgorithmnumerical exampleperturbationuniquenessbest rank-one approximationquasi-singular value

Mathematics Subject Classification ID

Related Items (7)

Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications ⋮ SVD-Based Algorithms for the Best Rank-1 Approximation of a Symmetric Tensor ⋮ Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques ⋮ Z-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglement ⋮ On Orthogonal Tensors and Best Rank-One Approximation Ratio ⋮ A concise proof to the spectral and nuclear norm bounds through tensor partitions ⋮ Parametric model order reduction based on parallel tensor compression

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