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We consider solution of multiply shifted systems of nonsymmetric linear equations, possibly also with multiple right-hand sides.
GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems
Y. Saad and M. H. Schultz · 1986
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On conjugate gradient type methods and polynomial preconditioners for a class of complex non-Hermitian matrices
R. W. Freund · 1990
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Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
B. N. Datta and Y. Saad · 1991
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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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Implicit application of polynomial filters in a k-step Arnoldi method
D. C. Sorensen · 1992
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On the use of rational iterative methods for solving large sparse linear systems
D. M. Young and B. R. Vona · 1992
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Solution of shifted linear systems by quasi-minimal residual iterations
R. W. Freund · 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
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Iterative Methods for Sparse Linear Systems
Y. Saad · 1996
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Analysis of projection methods for solving linear systems with multiple right-hand sides
T. F. Chan and W. Wan · 1997
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Deflated and augmented Krylov subspace techniques
A. Chapman and Y. Saad · 1997
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A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
R. W. Freund and M. Malhotra · 1997
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Analysis of augmented Krylov subspace techniques
Y. Saad · 1997
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Adaptively preconditioned GMRES algorithms
J. Baglama, D. Calvetti, G. H. Golub, and L. Reichel · 1998
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Thick-restart Lanczos method for symmetric eigenvalue problems
K. Wu and H. Simon · 2000
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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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Numerical methods for the QCD overlap operator: II. Sign-function and error bounds
G. Arnold, N. Cundy, J. van den Eshof, A. Frommer, S. Krieg, Th. Lippert, and K. Sch fer · 2003
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On the performance of various adaptive preconditioned GMRES strategies
K. Burrage and J. Erhel · 1998
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Restarted GMRES for shifted linear systems
A. Frommer and U. Glassner · 1998
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Harmonic projection methods for large non-symmetric eigenvalue problems
R. B. Morgan and M. Zeng · 1998
Cited alongside, same era.
Implicitly restarted and deflated GMRES
C. Le Calvez and B. Molina · 1999
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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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BiCGStab(l) for families of shifted linear systems
A. Frommer · 2003
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Restarted GMRES augmented with eigenvectors for shifted linear systems
G. D. Guy, J. J. Zhang, and Z. W. Li · 2003
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Restarted full orthogonalization method for shifted linear systems
V. Simoncini · 2003
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Deflation of Eigenvalues for Iterative Methods in Lattice QCD
D. Darnell, R. B. Morgan, and W. Wilcox · 2004
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Deflated iterative methods for linear equations with multiple right-hand sides
R. B. Morgan and W. Wilcox · 2004
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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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Rational Krylov methods for optimal H2 model reduction
S. Gugercin, A.C. Antoulas, and C.A. Beattie · 2006
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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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