Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators
DOI10.1007/s00607-005-0145-zzbMath1087.65050OpenAlexW2095121180MaRDI QIDQ817040
Wolfgang Hackbusch, Boris N. Khoromskij
Publication date: 2 March 2006
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00607-005-0145-z
integral operatorshierarchical matricessinc quadraturesinc interpolationdiscrete elliptic operatorKronecker tensor product
Computational methods for sparse matrices (65F50) General theory of numerical analysis in abstract spaces (65J05) Numerical methods for integral equations (65R20) Spaces of operators; tensor products; approximation properties (46B28) Integral operators (45P05) Boundary element methods for boundary value problems involving PDEs (65N38) Tensor products of linear operators (47A80)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Construction and arithmetics of \(\mathcal H\)-matrices
- Optimized tensor-product approximation spaces
- \(\mathcal H\)-matrix approximation for the operator exponential with applications
- Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
- Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
- Rank-One Approximation to High Order Tensors
- On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
- Numerical operator calculus in higher dimensions
- Computation of the Canonical Decomposition by Means of a Simultaneous Generalized Schur Decomposition
- Data-sparse approximation to a class of operator-valued functions
- Data-sparse approximation to the operator-valued functions of elliptic operator
- Hierarchical Kronecker tensor-product approximations