Spline approximation, Kronecker products and multilinear forms

DOI10.1002/nla.2038zbMath1413.65171OpenAlexW2324204453MaRDI QIDQ2829113

Frank Lamping, Thomas Sauer, Juan Manuel Peña

Publication date: 26 October 2016

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.2038

zbMATH Keywords

decompositionKronecker productmultilinear form

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical linear algebra (65F99)

Cites Work

• Tensor Decompositions and Applications
• Tensor-Train Decomposition
• A singular value decomposition of a \(k\)-way array for a principal component analysis of multiway data, \(\text{PTA-}k\)
• The ubiquitous Kronecker product
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Orthogonal Tensor Decompositions
• Rank-One Approximation to High Order Tensors
• Hierarchical Singular Value Decomposition of Tensors
• Tensor Spaces and Numerical Tensor Calculus
• A Kronecker product approximate preconditioner for SANs
• Matrix Analysis
• Efficient Computer Manipulation of Tensor Products
• Kronecker Products, Unitary Matrices and Signal Processing Applications
• A Multilinear Singular Value Decomposition
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• Efficient Computer Manipulation of Tensor Products with Applications to Multidimensional Approximation

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