Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
DOI10.1553/etna_vol48s348zbMath1401.65031arXiv1605.06246OpenAlexW2963257358WikidataQ129116841 ScholiaQ129116841MaRDI QIDQ1990903
Sonja Sokolović, Francisco Macedo, Karsten Kahl, Daniel Kressner, Matthias Bolten
Publication date: 26 October 2018
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06246
Computational methods in Markov chains (60J22) Computational methods for sparse matrices (65F50) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tensor-Train Decomposition
- The Kronecker product and stochastic automata networks
- Product-form stationary distributions for deficiency zero chemical reaction networks
- Analysis of loss networks with routing
- Iterative methods for overflow queueing models. I
- Iterative methods for overflow queuing models. II
- General highly accurate algebraic coarsening
- Multigrid Methods for Tensor Structured Markov Chains with Low Rank Approximation
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
- Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems
- Simultaneous state-time approximation of the chemical master equation using tensor product formats
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- Towards Adaptive Smoothed Aggregation ($\alpha$SA) for Nonsymmetric Problems
- Compatible Relaxation and Coarsening in Algebraic Multigrid
- Matrix Methods for Queuing Problems
- On the Convergence of a Class of Multilevel Methods for Large Sparse Markov Chains
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Numerical Methods in Markov Chain Modeling
- Solution of Linear Systems and Matrix Inversion in the TT-Format
- Stochastic fluctuations in metabolic pathways
- A projection method to solve linear systems in tensor format
This page was built for publication: Multigrid methods combined with low-rank approximation for tensor-structured Markov chains