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Restarting the Nonsymmetric Lanczos Algorithm for Eigenvalues and Linear Equations Including Multiple Right-Hand Sides

https://doi.org/10.1137/100799265
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What this work says

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

inferredcites →https://doi.org/10.1002/nla.499openalex-snapshot
Recent computational developments in Krylov subspace methods for linear systems
inferredcites →https://doi.org/10.1007/bf02141739openalex-snapshot
Model reduction of state space systems via an implicitly restarted Lanczos method
inferredcites →https://doi.org/10.1007/s11075-006-9057-zopenalex-snapshot
Restarted block Lanczos bidiagonalization methods
inferredcites →https://doi.org/10.1016/0024-3795(80)90169-xopenalex-snapshot
Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
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/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/s0304-0208(08)72647-1openalex-snapshot
A Practical Procedure for Computing Eigenvalues of Large Sparse Nonsymmetric Matrices
inferredcites →https://doi.org/10.1023/a:1019105012193openalex-snapshot
Nested Lanczos: implicitly restarting an unsymmetric Lanczos algorithm
inferredcites →https://doi.org/10.1063/1.2929748openalex-snapshot
Identifying almost invariant sets in stochastic dynamical systems
inferredcites →https://doi.org/10.1090/qam/42792openalex-snapshot
The principle of minimized iterations in the solution of the matrix eigenvalue problem
inferredcites →https://doi.org/10.1090/s0025-5718-1979-0514820-3openalex-snapshot
The Lanczos Algorithm with Selective Orthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0725988-xopenalex-snapshot
The Lanczos Algorithm With Partial Reorthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0771034-2openalex-snapshot
A look-ahead Lánczos algorithm for unsymmetric matrices
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/10.1090/s0025-5718-99-01163-1openalex-snapshot
A Lanczos-type method for multiple starting vectors
inferredcites →https://doi.org/10.1093/imamat/10.3.373openalex-snapshot
Computational Variants of the Lanczos Method for the Eigenproblem
inferredcites →https://doi.org/10.1109/focs.2007.66openalex-snapshot
Mechanism Design via Differential Privacy
inferredcites →https://doi.org/10.1137/040607277openalex-snapshot
Recycling Krylov Subspaces for Sequences of Linear Systems
inferredcites →https://doi.org/10.1137/060669097openalex-snapshot
The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
inferredcites →https://doi.org/10.1137/080725167openalex-snapshot
A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n -Vectors
inferredcites →https://doi.org/10.1137/080725532openalex-snapshot
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics
inferredcites →https://doi.org/10.1137/080727361openalex-snapshot
Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0913035openalex-snapshot
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0914029openalex-snapshot
A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian 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/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
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/s0895479801398608openalex-snapshot
Convergence of Restarted Krylov Subspaces to Invariant Subspaces
inferredcites →https://doi.org/10.1137/s0895479803422014openalex-snapshot
A Technique for Accelerating the Convergence of Restarted GMRES
inferredcites →https://doi.org/10.1137/s0895479893253975openalex-snapshot
A Restarted GMRES Method Augmented with Eigenvectors
inferredcites →https://doi.org/10.1137/s0895479895281484openalex-snapshot
Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
inferredcites →https://doi.org/10.1137/s0895479896306744openalex-snapshot
Look-Ahead Procedures for Lanczos-Type Product Methods Based on Three-Term Lanczos Recurrences
inferredcites →https://doi.org/10.1137/s0895479898334605openalex-snapshot
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s1064827596304162openalex-snapshot
Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods
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/10.1177/1045389x09350328openalex-snapshot
Reduction of Structural Acoustic Radiation Via Left and Right Eigenvector Assignment Approach
inferredcites →https://doi.org/10.22323/1.042.0026openalex-snapshot
Deflated BiCGStab for linear equations in QCD problems
inferredcites →https://doi.org/10.48550/arxiv.math-ph/0405053openalex-snapshot
Deflated Iterative Methods for Linear Equations with Multiple Right-Hand Sides
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.049.006openalex-snapshot
Solution of systems of linear equations by minimized iterations

What points at this work

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

inferred← citeshttps://doi.org/10.1002/nla.1892openalex-snapshot
Improved seed methods for symmetric positive definite linear equations with multiple right‐hand sides
inferred← citeshttps://doi.org/10.1002/nla.1893openalex-snapshot
Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides
inferred← citeshttps://doi.org/10.1007/978-3-319-52709-3_17openalex-snapshot
Optimizing LOBPCG: Sparse Matrix Loop and Data Transformations in Action
inferred← citeshttps://doi.org/10.1016/j.cam.2015.12.029openalex-snapshot
A new deflated block GCROT( m,k ) method for the solution of linear systems with multiple right-hand sides
inferred← citeshttps://doi.org/10.1109/hpcc.2014.165openalex-snapshot
On Implementing Sparse Matrix Multi-vector Multiplication on GPUs
inferred← citeshttps://doi.org/10.1137/140972433openalex-snapshot
Recycling BiCGSTAB with an Application to Parametric Model Order Reduction
inferred← citeshttps://doi.org/10.1137/16m1082615openalex-snapshot
Weighted Inner Products for GMRES and GMRES-DR
inferred← citeshttps://doi.org/10.1145/3208040.3208062openalex-snapshot
Efficient sparse-matrix multi-vector product on GPUs
inferred← citeshttps://doi.org/10.48550/arxiv.1403.3876openalex-snapshot
Recycling BiCG for families of shifted linear systems
inferred← citeshttps://doi.org/10.48550/arxiv.1405.3733openalex-snapshot
A new deflated block GCROT($m,k$) method for the solution of linear systems with multiple right-hand sides
inferred← citeshttps://doi.org/10.48550/arxiv.1607.00255openalex-snapshot
Weighted Inner Products for GMRES and GMRES-DR
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