A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems
DOI10.1137/21M1401127zbMath1492.65077OpenAlexW4225295689MaRDI QIDQ5863875
Luc Giraud, Yan-Fei Jing, Yan-Fei Xiang
Publication date: 3 June 2022
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1401127
augmentationdeflationsubspace recyclingpartial convergencebackward error stopping criterionblock subspace methodsinexact block rank deficiency
Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (1)
Uses Software
Cites Work
- Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation
- Restarted block-GMRES with deflation of eigenvalues
- Exact and inexact breakdowns in the block GMRES method
- Flexible and deflated variants of the block shifted GMRES method
- Nested Krylov methods based on GCR
- Block Gram-Schmidt algorithms and their stability properties
- Two new variants of the simpler block GMRES method with vector deflation and eigenvalue deflation for multiple linear systems
- A new projected variant of the deflated block conjugate gradient method
- A new shifted block GMRES method with inexact breakdowns for solving multi-shifted and multiple right-hand sides linear systems
- A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides
- The university of Florida sparse matrix collection
- A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting
- Recycling Krylov Subspaces for Sequences of Linear Systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Truncation Strategies for Optimal Krylov Subspace Methods
- A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right‐hand sides
- GMRES with Deflated Restarting
- A Restarted GMRES Method Augmented with Eigenvectors
- Projections, Deflation, and Multigrid for Nonsymmetric Matrices
- Block GMRES Method with Inexact Breakdowns and Deflated Restarting
- Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES
This page was built for publication: A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems
