On restarted and deflated block FOM and GMRES methods for sequences of shifted linear systems
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Publication:2035523
DOI10.1007/s11075-020-01007-3zbMath1469.65074OpenAlexW3084980445MaRDI QIDQ2035523
Lakhdar Elbouyahyaoui, Farid Saberi-Movahed, Azita Tajaddini, Mohammed Heyouni
Publication date: 24 June 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-020-01007-3
block Krylov subspace methodsblock Arnoldi processdeflation techniquesequences of shifted linear systems
Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
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- BiCGStab(\(\ell\)) for families of shifted linear systems
- Two recursive GMRES-type methods for shifted linear systems with general preconditioning
- Restarted block-GMRES with deflation of eigenvalues
- Application of block Krylov subspace algorithms to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD
- On the use of matrix functions for fractional partial differential equations
- An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential
- Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
- On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems
- Deflated GMRES for systems with multiple shifts and multiple right-hand sides
- Contour integral eigensolver for non-Hermitian systems: a Rayleigh-Ritz-type approach
- Approximate inverse preconditioning for shifted linear systems
- Restarted full orthogonalization method for shifted linear systems
- A convergence analysis of GMRES and FOM methods for Sylvester equations
- Restarted Hessenberg method for solving shifted nonsymmetric linear systems
- A shifted block FOM algorithm with deflated restarting for matrix exponential computations
- Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems
- Accurate conjugate gradient methods for families of shifted systems
- Iterative system solvers for the frequency analysis of linear mechanical systems
- Nested Krylov methods based on GCR
- A flexible and adaptive simpler GMRES with deflated restarting for shifted linear systems
- Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously
- A deflated block flexible GMRES-DR method for linear systems with multiple right-hand sides
- A block Arnoldi based method for the solution of the Sylvester-observer equation
- Block Krylov subspace methods for functions of matrices
- Krylov subspace recycling for sequences of shifted linear systems
- Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations
- Low rank approximate solutions to large Sylvester matrix equations
- Convergence properties of block GMRES and matrix polynomials
- On the numerical solution of \(AX-XB=C\)
- A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method
- A Numerical Method for Calculating the Green's Function Arising from Electronic Structure Theory
- A Framework for Deflated and Augmented Krylov Subspace Methods
- The university of Florida sparse matrix collection
- Flexible GMRES with Deflated Restarting
- Numerical linear algebra aspects of control design computations
- Parabolic and hyperbolic contours for computing the Bromwich integral
- Recycling Krylov Subspaces for Sequences of Linear Systems
- A Hessenberg-Schur method for the problem AX + XB= C
- Efficient Solution of Parabolic Equations by Krylov Approximation Methods
- Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
- Restarted GMRES for Shifted Linear Systems
- The Solution of Parametrized Symmetric Linear Systems
- A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right‐hand sides
- GMRES with Deflated Restarting
- An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
- A Restarted GMRES Method Augmented with Eigenvectors
- A Preconditioned and Shifted GMRES Algorithm for the PageRank Problem with Multiple Damping Factors
- Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES
- Restarted Full Orthogonalization Method with Deflation for Shifted Linear Systems
- Preconditioned Multishift BiCG for $\mathcal{H}_2$-Optimal Model Reduction
- A simpler GMRES and its adaptive variant for shifted linear systems
- A Flexible Krylov Solver for Shifted Systems with Application to Oscillatory Hydraulic Tomography
- Restarted GMRES augmented with harmonic Ritz vectors for shifted linear systems
- Block Krylov subspace methods for solving large Sylvester equations
