Singular value decomposition in Sobolev spaces. I

DOI10.4171/ZAA/1663zbMath1461.46025arXiv1809.11001MaRDI QIDQ2197924

Mazen Ali, Anthony Nouy

Publication date: 1 September 2020

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.11001

zbMATH Keywords

Sobolev spaceslow-rank approximationsingular value decomposition (SVD)higher-order singular value decomposition (HOSVD)minimal subspacestensor intersection spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Applications of functional analysis in numerical analysis (46N40) Numerical analysis in abstract spaces (65J99)

Related Items

Singular value decomposition in Sobolev spaces. II, Low-rank tensor methods for partial differential equations, Adaptive low-rank approximations for operator equations: Accuracy control and computational complexity

Uses Software

• redbKIT

Cites Work

• Unnamed Item
• Unnamed Item
• Tensor numerical methods in scientific computing
• \(L^{\infty}\) estimation of tensor truncations
• Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators
• Tensor Numerical Methods in Quantum Chemistry
• Hierarchical Singular Value Decomposition of Tensors
• Tensor Spaces and Numerical Tensor Calculus
• Wavelet Methods for Elliptic Partial Differential Equations
• Model Reduction and Approximation
• Reduced Basis Methods for Partial Differential Equations