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Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides

https://doi.org/10.1137/080727361
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Deflated and Augmented Krylov Subspace Techniques
inferredcites →https://doi.org/10.1002/(sici)1099-1506(199801/02)5:1<33::aid-nla125>3.0.co;2-1openalex-snapshot
Harmonic projection methods for large non-symmetric eigenvalue problems
inferredcites →https://doi.org/10.1002/(sici)1099-1506(199803/04)5:2<101::aid-nla127>3.0.co;2-1openalex-snapshot
On the performance of various adaptive preconditioned GMRES strategies
inferredcites →https://doi.org/10.1002/nla.1680020105openalex-snapshot
Eigenvalue translation based preconditioners for the GMRES(k) method
inferredcites →https://doi.org/10.1002/nla.1680020205openalex-snapshot
Approximate solutions and eigenvalue bounds from Krylov subspaces
inferredcites →https://doi.org/10.1007/bf01731924openalex-snapshot
Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
inferredcites →https://doi.org/10.1016/0024-3795(80)90247-5openalex-snapshot
The block conjugate gradient algorithm and related methods
inferredcites →https://doi.org/10.1016/0024-3795(80)90248-7openalex-snapshot
A new look at the Lanczos algorithm for solving symmetric systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(84)90025-9openalex-snapshot
Analysis of the symmetric Lanczos algorithm with reorthogonalization methods
inferredcites →https://doi.org/10.1016/0024-3795(91)90381-6openalex-snapshot
Computing interior eigenvalues of large matrices
inferredcites →https://doi.org/10.1016/0377-0427(87)90020-3openalex-snapshot
An iterative solution method for solving f(A)x = b, using Krylov subspace information obtained for the symmetric positive definite matrix A
inferredcites →https://doi.org/10.1016/0377-0427(92)90263-wopenalex-snapshot
Quasi-kernel polynomials and their use in non-Hermitian matrix iterations
inferredcites →https://doi.org/10.1016/0377-0427(95)00047-xopenalex-snapshot
Restarted GMRES preconditioned by deflation
inferredcites →https://doi.org/10.1016/0377-0427(95)00198-0openalex-snapshot
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides
inferredcites →https://doi.org/10.1016/0920-5632(96)00047-3openalex-snapshot
Progress on lattice QCD algorithms
inferredcites →https://doi.org/10.1016/j.apnum.2004.09.028openalex-snapshot
Restarted block-GMRES with deflation of eigenvalues
inferredcites →https://doi.org/10.1016/j.laa.2005.07.024openalex-snapshot
A harmonic restarted Arnoldi algorithm for calculating eigenvalues and determining multiplicity
inferredcites →https://doi.org/10.1016/j.laa.2007.12.021openalex-snapshot
Augmented Block Householder Arnoldi Method
inferredcites →https://doi.org/10.1016/s0024-3795(96)00529-0openalex-snapshot
A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
inferredcites →https://doi.org/10.1016/s0920-5632(03)02734-8openalex-snapshot
Deflation of eigenvalues for iterative methods in lattice QCD
inferredcites →https://doi.org/10.1016/s0920-5632(96)00605-6openalex-snapshot
Linear systems solvers — recent developments and implications for lattice computations
inferredcites →https://doi.org/10.1023/a:1019113630790openalex-snapshot
Implicitly restarted and deflated GMRES
inferredcites →https://doi.org/10.1090/s0025-5718-1979-0514820-3openalex-snapshot
The Lanczos Algorithm with Selective Orthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1981-0616364-6openalex-snapshot
Krylov subspace methods for solving large unsymmetric linear systems
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0725988-xopenalex-snapshot
The Lanczos Algorithm With Partial Reorthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-96-00745-4openalex-snapshot
On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
inferredcites →https://doi.org/10.1103/physrevlett.85.5051openalex-snapshot
Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions
inferredcites →https://doi.org/10.1109/8.43571openalex-snapshot
A conjugate gradient algorithm for the treatment of multiple incident electromagnetic fields
inferredcites →https://doi.org/10.1137/040607277openalex-snapshot
Recycling Krylov Subspaces for Sequences of Linear Systems
inferredcites →https://doi.org/10.1137/060656127openalex-snapshot
Improving the Accuracy of GMRes with Deflated Restarting
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0724027openalex-snapshot
Deflation of Conjugate Gradients with Applications to Boundary Value Problems
inferredcites →https://doi.org/10.1137/0905015openalex-snapshot
Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0916053openalex-snapshot
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1137/s0036142997315950openalex-snapshot
Truncation Strategies for Optimal Krylov Subspace Methods
inferredcites →https://doi.org/10.1137/s0895479800371529openalex-snapshot
A Krylov--Schur Algorithm for Large Eigenproblems
inferredcites →https://doi.org/10.1137/s0895479893247679openalex-snapshot
Variable Block CG Algorithms for Solving Large Sparse Symmetric Positive Definite Linear Systems on Parallel Computers, I: General Iterative Scheme
inferredcites →https://doi.org/10.1137/s0895479893253975openalex-snapshot
A Restarted GMRES Method Augmented with Eigenvectors
inferredcites →https://doi.org/10.1137/s0895479895294289openalex-snapshot
Analysis of Augmented Krylov Subspace Methods
inferredcites →https://doi.org/10.1137/s0895479897321362openalex-snapshot
Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
inferredcites →https://doi.org/10.1137/s0895479897330194openalex-snapshot
An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
inferredcites →https://doi.org/10.1137/s0895479898334605openalex-snapshot
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s1064827594273067openalex-snapshot
Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1137/s1064827596305258openalex-snapshot
Adaptively Preconditioned GMRES Algorithms
inferredcites →https://doi.org/10.1137/s1064827599355542openalex-snapshot
QMR-Based Projection Techniques for the Solution of Non-Hermitian Systems with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1137/s1064827599364659openalex-snapshot
GMRES with Deflated Restarting
inferredcites →https://doi.org/10.1137/s1064829598339761openalex-snapshot
A Deflated Version of the Conjugate Gradient Algorithm
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear systems

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Improved seed methods for symmetric positive definite linear equations with multiple right‐hand sides
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Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides
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Convergence acceleration of preconditioned conjugate gradient solver based on error vector sampling for a sequence of linear systems
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A New Projected Variant of the Deflated Block Conjugate Gradient Method
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Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides
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Disconnected loop subtraction methods in lattice QCD
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Multipolynomial Monte Carlo for trace estimation in lattice QCD
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Multigrid deflation for Lattice QCD
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The deflated conjugate gradient method: Convergence, perturbation and accuracy
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Numerical experiments using deflation with the HISQ action
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Numerical experiments using deflation with the HISQ action
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Multilevel Methods for $p$-Adaptive Finite Element Analysis of Electromagnetic Scattering
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Restarting the Nonsymmetric Lanczos Algorithm for Eigenvalues and Linear Equations Including Multiple Right-Hand Sides
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Eigenvalue Computations Based on IDR
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Projections, Deflation, and Multigrid for Nonsymmetric Matrices
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Deflated BiCG with an Application to Model Reduction
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