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Twofold deflation preconditioning of linear algebraic systems. I. Theory
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cnm.1630040202openalex-snapshot
On the use of deflation to improve the convergence of conjugate gradient iteration
inferredcites →https://doi.org/10.1007/bf01389450openalex-snapshot
The rate of convergence of Conjugate Gradients
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/10.1016/0377-0427(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/b978-0-12-141050-6.50023-4openalex-snapshot
A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
inferredcites →https://doi.org/10.1080/00207168808803625openalex-snapshot
Conjugate gradient method with preconditioning by projector
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0725988-xopenalex-snapshot
The Lanczos Algorithm With Partial Reorthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0878697-3openalex-snapshot
On the Lánczos method for solving symmetric linear systems with several right-hand sides
inferredcites →https://doi.org/10.1137/0724027openalex-snapshot
Deflation of Conjugate Gradients with Applications to Boundary Value Problems
inferredcites →https://doi.org/10.1137/0727094openalex-snapshot
On the Conjugate Gradient Solution of the Schur Complement System Obtained from Domain Decomposition
inferredcites →https://doi.org/10.1137/0912071openalex-snapshot
Damped Jacobi Preconditioning and Coarse Grid Deflation for Conjugate Gradient Iteration on Parallel Computers
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s1064827594273067openalex-snapshot
Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners
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Deflated preconditioned conjugate gradient solvers for the pressure‐Poisson equation: Extensions and improvements
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A parallel noninvasive multiscale strategy for a mixed domain decomposition method with frictional contact
inferred← citeshttps://doi.org/10.1007/978-3-030-81691-9_14openalex-snapshot
Conjugate Direction Methods for Parallel Deflation
inferred← citeshttps://doi.org/10.1007/s10915-009-9272-6openalex-snapshot
Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods
inferred← citeshttps://doi.org/10.1007/s10958-017-3459-4openalex-snapshot
Iterative Processes in the Krylov–Sonneveld Subspaces
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Projection Methods in Krylov Subspaces
inferred← citeshttps://doi.org/10.1007/s10958-021-05365-8openalex-snapshot
Conjugate Direction Methods for Multiple Solution of Slaes
inferred← citeshttps://doi.org/10.1007/s10958-021-05371-wopenalex-snapshot
Parallel Variable-Triangular Iterative Methods in Krylov Subspaces
inferred← citeshttps://doi.org/10.1016/j.compstruc.2017.03.003openalex-snapshot
Rigid body modes deflation of the Preconditioned Conjugate Gradient in the solution of discretized structural problems
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113264openalex-snapshot
A matrix-free parallel two-level deflation preconditioner for two-dimensional heterogeneous Helmholtz problems
inferred← citeshttps://doi.org/10.1016/j.laa.2015.09.056openalex-snapshot
Deflation and projection methods applied to symmetric positive semi-definite systems
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A Comparison of Deflation and the Balancing Preconditioner
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A Framework for Deflated and Augmented Krylov Subspace Methods
inferred← citeshttps://doi.org/10.1137/18m1180268openalex-snapshot
Projections, Deflation, and Multigrid for Nonsymmetric Matrices
inferred← citeshttps://doi.org/10.14279/depositonce-4147openalex-snapshot
Recycling Krylov subspace methods for sequences of linear systems
inferred← citeshttps://doi.org/10.14279/depositonce-6543openalex-snapshot
A framework for deflated and augmented Krylov subspace methods
inferred← citeshttps://doi.org/10.2514/6.2009-165openalex-snapshot
Coarse-Grain Deflation for Preconditioned Conjugate Gradient Solvers: Application to the Pressure Poisson Equation
inferred← citeshttps://doi.org/10.2514/6.2010-118openalex-snapshot
Deflated Preconditioned Conjugate Gradient Solvers: Extensions and Improvements
inferred← citeshttps://doi.org/10.4203/csets.31.11openalex-snapshot
Deflation and Augmentation Techniques in Krylov Subspace Methods for the Solution of Linear Systems
inferred← citeshttps://doi.org/10.48550/arxiv.2308.06152openalex-snapshot
A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems
inferred← citeshttps://doi.org/10.70675/6f1a93dbz0cbdz430bz880az81241f5266e4openalex-snapshot
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