GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Implicit application of polynomial filters in a k-step Arnoldi method
SIAM Journal on Matrix Analysis and Applications
Quasi-kernel polynomials and their use in non-Hermitian matrix iterations
Journal of Computational and Applied Mathematics - Orthogonal polynomials and numerical methods
A Restarted GMRES Method Augmented with Eigenvectors
SIAM Journal on Matrix Analysis and Applications
A Jacobi--Davidson Iteration Method for Linear EigenvalueProblems
SIAM Journal on Matrix Analysis and Applications
Restarted GMRES preconditioned by deflation
Journal of Computational and Applied Mathematics
Analysis of Augmented Krylov Subspace Methods
SIAM Journal on Matrix Analysis and Applications
Iterative methods for solving linear systems
Iterative methods for solving linear systems
Applied numerical linear algebra
Applied numerical linear algebra
A Deflation Technique for Linear Systems of Equations
SIAM Journal on Scientific Computing
Adaptively Preconditioned GMRES Algorithms
SIAM Journal on Scientific Computing
Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
SIAM Journal on Matrix Analysis and Applications
Analysis of acceleration strategies for restarted minimal residual methods
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
GMRES with Deflated Restarting
SIAM Journal on Scientific Computing
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
SIAM Journal on Matrix Analysis and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Technique for Accelerating the Convergence of Restarted GMRES
SIAM Journal on Matrix Analysis and Applications
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
SIAM Journal on Scientific Computing
Applied Numerical Mathematics
Improving the Accuracy of GMRes with Deflated Restarting
SIAM Journal on Scientific Computing
A simple strategy for varying the restart parameter in GMRES(m)
Journal of Computational and Applied Mathematics
Numerical solution of electromagnetic scattering from a large partly covered cavity
Journal of Computational and Applied Mathematics
Acquired Clustering Properties and Solution of Certain Saddle Point Systems
SIAM Journal on Matrix Analysis and Applications
Journal of Computational Physics
A new preconditioner for the interface system arising in a fast Helmholtz solver
Computers & Mathematics with Applications
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GMRES with deflated restarting, denoted by GMRES-DR(m,k), is a variant of restarted GMRES for solving nonsymmetric linear systems, which improves the convergence of restarted GMRES by weakening the influence of the eigenvalues incurring poor numerical performance. However, it is difficult to determine the deflation parameter k. In this paper, we present a new deflation strategy which determines k dynamically in different cycles. Numerical results for an electromagnetic cavity problem show that the deflation strategy is efficient.