Perturbation of Higher-Order Singular Values

DOI10.1137/16M1089873zbMath1371.15011OpenAlexW2554237793MaRDI QIDQ5349288

Daniel Kressner, André Uschmajew, Wolfgang Hackbusch

Publication date: 24 August 2017

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1089873

zbMATH Keywords

convergenceNewton methodnumerical experimenttensorshigher-order singular value decomposition

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items

On the Largest Multilinear Singular Values of Higher-Order Tensors, Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems, A Geometric Description of Feasible Singular Values in the Tensor Train Format

Uses Software

• TensorToolbox
• NewtonLib

Cites Work

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• Tensor Decompositions and Applications
• Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations
• On the interconnection between the higher-order singular values of real tensors
• A literature survey of low-rank tensor approximation techniques
• Newton Methods for Nonlinear Problems
• Tensor Spaces and Numerical Tensor Calculus
• A Multilinear Singular Value Decomposition