Inexact GMRES for singular linear systems
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Publication:960028
DOI10.1007/s10543-008-0171-2zbMath1161.65024OpenAlexW2149986245WikidataQ115156447 ScholiaQ115156447MaRDI QIDQ960028
Publication date: 16 December 2008
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-008-0171-2
convergencenumerical examplesMarkov chainsingular linear systemsgeneralized minimal residual (GMRES) methodinexact Krylov subspace methodsinexact matrix-vector product
Computational methods in Markov chains (60J22) Numerical analysis or methods applied to Markov chains (65C40) Iterative numerical methods for linear systems (65F10)
Related Items
A note on preconditioned GMRES for solving singular linear systems ⋮ On GMRES for Singular EP and GP Systems ⋮ Evaluation of the performance of inexact GMRES ⋮ A simpler DGMRES
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Cites Work
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- Block triangular preconditioners for \(M\)-matrices and Markov chains
- GMRES-type methods for inconsistent systems
- Scaled total least squares fundamentals
- Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space
- DFOM algorithm and error analysis for projection methods for solving singular linear system
- Some results about GMRES in the singular case
- Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
- A note on solving EP inconsistent linear systems
- GMRES On (Nearly) Singular Systems
- Recent computational developments in Krylov subspace methods for linear systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Numerical solution of sparse singular systems of equations arising from ergodic markov chains
- Numerical Methods in Markov Chain Modeling
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Inexact Krylov Subspace Methods for Linear Systems
- Solving EP singular linear systems
- On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling
- Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy
- Breakdown-free GMRES for Singular Systems
