A look-back-type restart for the restarted Krylov subspace methods for solving non-Hermitian linear systems
DOI10.1007/s13160-018-0308-xzbMath1405.65046OpenAlexW2804461272MaRDI QIDQ1756735
Tomohiro Sogabe, Shao-Liang Zhang, Akira Imakura
Publication date: 21 December 2018
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-018-0308-x
non-Hermitian linear systemsrestarted Krylov subspace methodslook-back-type restartresidual polynomials
Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An iterative method for the Helmholtz equation
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- Restarted GMRES preconditioned by deflation
- A simple strategy for varying the restart parameter in GMRES\((m)\)
- Augmented GMRES-type methods
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
- Adaptively Preconditioned GMRES Algorithms
- Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
- GMRES with Deflated Restarting
- Iterative Krylov Methods for Large Linear Systems
- The DEFLATED-GMRES(m,k) method with switching the restart frequency dynamically
- A Restarted GMRES Method Augmented with Eigenvectors
- GMRESR: a family of nested GMRES methods
- A Technique for Accelerating the Convergence of Restarted GMRES
- An Efficient Variant of the GMRES(m) Method Based on the Error Equations
This page was built for publication: A look-back-type restart for the restarted Krylov subspace methods for solving non-Hermitian linear systems
