Eigenvalues and s-numbers
A Multilinear Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications
Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
SIAM Journal on Matrix Analysis and Applications
Hierarchical Singular Value Decomposition of Tensors
SIAM Journal on Matrix Analysis and Applications
Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems
SIAM Journal on Matrix Analysis and Applications
Fast evaluation of singular BEM integrals based on tensor approximations
Numerische Mathematik
Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
Computers & Mathematics with Applications
Approximation numbers of Sobolev embeddings-Sharp constants and tractability
Journal of Complexity
| Hi-index | 0.00 |
In this note we estimate the asymptotic rates for the L"2-error decay and the storage cost when approximating 2@p-periodic, d-variate functions from isotropic and mixed Sobolev classes by the recent hierarchical tensor format as introduced by Hackbusch and Kuhn. To this end, we survey some results on bilinear approximation due to Temlyakov. The approach taken in this paper improves and generalizes recent results of Griebel and Harbrecht for the bi-variate case.