Multigrid Methods for Tensor Structured Markov Chains with Low Rank Approximation
From MaRDI portal
Publication:2790081
DOI10.1137/140994447zbMath1382.65028arXiv1412.0937OpenAlexW2963744098MaRDI QIDQ2790081
Matthias Bolten, Karsten Kahl, Sonja Sokolović
Publication date: 2 March 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.0937
Computational methods in Markov chains (60J22) Computational methods for sparse matrices (65F50) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical analysis or methods applied to Markov chains (65C40) Iterative numerical methods for linear systems (65F10) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains ⋮ Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tensor Decompositions and Applications
- Tensor-Train Decomposition
- QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images
- The Kronecker product and stochastic automata networks
- Iterative methods for overflow queueing models. I
- Iterative methods for overflow queuing models. II
- Iterative methods based on splittings for stochastic automata networks
- Iterative solution of large sparse systems of equations. Transl. from the German
- General highly accurate algebraic coarsening
- Comparison of multilevel methods for Kronecker-based Markovian representations
- Structured analysis approaches for large Markov chains
- Fast multigrid solver
- A new scheme for the tensor representation
- Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
- Multilevel Solutions for Structured Markov Chains
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
- Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems
- Hierarchical Singular Value Decomposition of Tensors
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- Towards Adaptive Smoothed Aggregation ($\alpha$SA) for Nonsymmetric Problems
- Smoothed Aggregation Multigrid for Markov Chains
- Algebraic Multigrid for Markov Chains
- Operator-based interpolation for bootstrap algebraic multigrid
- Bootstrap AMG
- A Bootstrap Algebraic Multilevel Method for Markov Chains
- Tensor Spaces and Numerical Tensor Calculus
- Compatible Relaxation and Coarsening in Algebraic Multigrid
- Matrix Methods for Queuing Problems
- Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking
- A Multigrid Method to Solve Large Scale Sylvester Equations
- 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
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Solution of Linear Systems and Matrix Inversion in the TT-Format
- An Adaptive Algebraic Multigrid Algorithm for Low-Rank Canonical Tensor Decomposition
- Methods of conjugate gradients for solving linear systems
- Analysis of tensor product multigrid