Solution of linear systems in high spatial dimensions
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Publication:1685049
DOI10.1007/s00791-015-0252-0zbMath1388.65032OpenAlexW244727232WikidataQ59402081 ScholiaQ59402081MaRDI QIDQ1685049
Publication date: 13 December 2017
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-015-0252-0
Related Items (8)
Survey on the technique of hierarchical matrices ⋮ Special issue on multigrid methods ⋮ Low-rank tensor methods for partial differential equations ⋮ A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem ⋮ Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs ⋮ Towards accuracy and scalability: combining isogeometric analysis with deflation to obtain scalable convergence for the Helmholtz equation ⋮ Modified iterations for data-sparse solution of linear systems ⋮ Low-Rank Solution Methods for Stochastic Eigenvalue Problems
Uses Software
Cites Work
- Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces
- Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\)
- Approximate iterations for structured matrices
- Iterative solution of large sparse systems of equations. Transl. from the German
- Musings on multilinear fitting
- Krylov-type methods for tensor computations.I
- Variational calculus with sums of elementary tensors of fixed rank
- A new scheme for the tensor representation
- Low rank methods for a class of generalized Lyapunov equations and related issues
- DMRG approach to fast linear algebra in the TT-format
- The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format
- Multilevel preconditioning and low-rank tensor iteration for space-time simultaneous discretizations of parabolic PDEs
- Hierarchical Matrices: Algorithms and Analysis
- Krylov Subspace Methods for Linear Systems with Tensor Product Structure
- Tensor Spaces and Numerical Tensor Calculus
- Tensor rank is NP-complete
- Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems
- A Multigrid Method to Solve Large Scale Sylvester Equations
- On the efficient computation of high-dimensional integrals and the approximation by exponential sums
- Nonlinear multigrid for the solution of large‐scale Riccati equations in low‐rank and ℋ︁‐matrix format
- Hierarchische Matrizen
- A Multilinear Singular Value Decomposition
- Numerical tensor calculus
- A projection method to solve linear systems in tensor format
- Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems
- Approximation of 1/x by exponential sums in [1, ∞)
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