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A new approach is discussed for solving large nonsymmetric systems of linear equations with multiple right-hand sides.
The block conjugate gradient algorithm and related methods
D. P. O’Leary · 1980
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GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems
Y. Saad and M. H. Schultz · 1986
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Computing interior eigenvalues of large matrices
R. B. Morgan · 1991
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Quasi-kernel polynomials and their use in non-Hermitian matrix iterations
R. W. Freund · 1992
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A hybrid GMRES algorithm for nonsymmetric linear systems
N. M. Nachtigal, L. Reichel, and L. N. Trefethen · 1992
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Implicit application of polynomial filters in a k-step Arnoldi method
D. C. Sorensen · 1992
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Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems
H. A. van der Vorst · 1992
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A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations
G. Starke and R. S. Varga · 1993
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Eigenvalue translation based preconditioners for the GMRES(k) method
S. A. Kharchenko and A. Y. Yeremin · 1995
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A restarted GMRES method augmented with eigenvectors
R. B. Morgan · 1995
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Approximate solutions and eigenvalue bounds from Krylov subspaces
C. C. Paige, B. N. Parlett, and H. A. van der Vorst · 1995
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An iterative method for nonsymmetric systems with multiple right-hand sides
V. Simoncini and E. Gallopoulos · 1995
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Progress on lattice QCD algorithms
P. de Forcrand · 1996
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Restarted GMRES preconditioned by deflation
J. Erhel, K. Burrage, and B. Pohl · 1996
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On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
R. B. Morgan · 1996
Cited alongside, same era.
Iterative Methods for Sparse Linear Systems
Y. Saad · 1996
Cited alongside, same era.
Convergence properties of block GMRES and matrix polynomials
V. Simoncini and E. Gallopoulos · 1996
Cited alongside, same era.
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides
V. Simoncini and E. Gallopoulos · 1996
Cited alongside, same era.
Deflated and augmented Krylov subspace techniques
A. Chapman and Y. Saad · 1997
Cited alongside, same era.
A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
R. W. Freund and M. Malhotra · 1997
Cited alongside, same era.
Truncation strategies for optimal Krylov subspace methods
E. De Sturler · 1999
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Study of Chiral Symmetry in Quenched QCD Using the Overlap Dirac Operator
R. G. Edwards, U. M. Heller, and R. Narayanan · 1999
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Chiral symmetry, quark mass, and scaling of the overlap fermions
S. J. Dong, F. X. Lee, K. F. Liu, and J. B. Zhang · 2000
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Implicitly restarted GMRES and Arnoldi methods for nonsymmetric systems of equations
R. B. Morgan · 2000
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Thick-restart Lanczos method for symmetric eigenvalue problems
K. Wu and H. Simon · 2000
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QMR-based projection techniques for the solution of non-Hermitian systems with multiple right-hand sides
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Linear systems solvers - recent developments and implications for lattice computations
A. Frommer · 1997
Cited alongside, same era.
Exploiting structure in Krylov subspace methods for the Wilson fermion matrix
A. Frommer and B. Medeke · 1997
Cited alongside, same era.
Analysis of augmented Krylov subspace techniques
Y. Saad · 1997
Cited alongside, same era.
Adaptively preconditioned GMRES algorithms
J. Baglama, D. Calvetti, G. H. Golub, and L. Reichel · 1998
Cited alongside, same era.
On the performance of various adaptive preconditioned GMRES strategies
K. Burrage and J. Erhel · 1998
Cited alongside, same era.
Projection techniques for iterative solution of Ax=b with successive right-hand sides
P. F. Fischer · 1998
Cited alongside, same era.
M. Kilmer, E. Miller, and C. Rappaport · 2001
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On the low fermionic eigenmode dominance in QCD on the lattice
H. Neff, N. Eicker, Th. Lippert, J. W. Negele, and K. Schilling · 2001
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A Krylov–Schur algorithm for large eigenproblems
G. W. Stewart · 2001
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GMRES with Deflated Restarting
R. B. Morgan · 2002
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Deflation of Eigenvalues for GMRES in Lattice QCD
R. B. Morgan and W. Wilcox · 2002
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Pole placement preconditioning
D. Calvetti and L. Reichel · 2003
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Restarted block-GMRES with deflation of eigenvalues
R. B. Morgan · 2005
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Harmonic Restarted Arnoldi for Calculating Eigenvalues and Determining Multiplicity
R. B. Morgan and M. Zeng · 2005
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Recycling krylov subspaces for sequences of linear systems
Michael L. Parks, Eric de Sturler, Greg Mackey, Duane D. Johnson, and Spandan Maiti · 2006
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