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Implementation of the GMRES Method Using Householder Transformations
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Iterative Methods for Sparse Linear Systems
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Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
inferred← citeshttps://doi.org/10.1137/120881191openalex-snapshot
Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods
inferred← citeshttps://doi.org/10.1137/120893057openalex-snapshot
A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of $s$-Step Krylov Subspace Methods
inferred← citeshttps://doi.org/10.1137/130905691openalex-snapshot
Newton's Method for Monte Carlo--Based Residuals
inferred← citeshttps://doi.org/10.1137/130930376openalex-snapshot
Communication Avoiding ILU0 Preconditioner
inferred← citeshttps://doi.org/10.1137/140989492openalex-snapshot
Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication
inferred← citeshttps://doi.org/10.1137/140990735openalex-snapshot
Accuracy of the $s$-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision
inferred← citeshttps://doi.org/10.1137/17m1122918openalex-snapshot
A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/17m1128216openalex-snapshot
On GMRES for Singular EP and GP Systems
inferred← citeshttps://doi.org/10.1137/17m1134433openalex-snapshot
Avoiding Communication in Primal and Dual Block Coordinate Descent Methods
inferred← citeshttps://doi.org/10.1137/18m1182528openalex-snapshot
s-Step Enlarged Krylov Subspace Conjugate Gradient Methods
inferred← citeshttps://doi.org/10.1137/18m1197400openalex-snapshot
Block Modified Gram--Schmidt Algorithms and Their Analysis
inferred← citeshttps://doi.org/10.1137/21m1443297openalex-snapshot
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion
inferred← citeshttps://doi.org/10.1137/23m1577109openalex-snapshot
A Numerically Stable Communication-Avoiding \({s}\)-Step GMRES Algorithm
inferred← citeshttps://doi.org/10.1137/24m1655482openalex-snapshot
Rounding Error Analysis of the Inverse Compact WY Modified Gram–Schmidt Algorithms
inferred← citeshttps://doi.org/10.1137/24m1690485openalex-snapshot
On the Backward Stability of S-Step GMRES
inferred← citeshttps://doi.org/10.1137/s0097539799363359openalex-snapshot
On Local Search and Placement of Meters in Networks
inferred← citeshttps://doi.org/10.1137/s0895479893246765openalex-snapshot
Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems
inferred← citeshttps://doi.org/10.1137/s0895479894262339openalex-snapshot
GMRES On (Nearly) Singular Systems
inferred← citeshttps://doi.org/10.1137/s0895479894276369openalex-snapshot
A Basis-Kernel Representation of Orthogonal Matrices
inferred← citeshttps://doi.org/10.1137/s0895479898341669openalex-snapshot
Computable Convergence Bounds for GMRES
inferred← citeshttps://doi.org/10.1137/s1052623497329671openalex-snapshot
Parallel Adaptive GMRES Implementations for Homotopy Methods
inferred← citeshttps://doi.org/10.1137/s1064827500377988openalex-snapshot
Least Squares Residuals and Minimal Residual Methods
inferred← citeshttps://doi.org/10.1137/s1064827500381239openalex-snapshot
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods
inferred← citeshttps://doi.org/10.1137/s1064827594268713openalex-snapshot
A Spectral Element Technique with a Local Spectral Basis
inferred← citeshttps://doi.org/10.1137/s1064827595294691openalex-snapshot
A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
inferred← citeshttps://doi.org/10.1145/1141885.1141886openalex-snapshot
Accumulating Householder transformations, revisited
inferred← citeshttps://doi.org/10.1145/1141885.1141887openalex-snapshot
Improving the performance of reduction to Hessenberg form
inferred← citeshttps://doi.org/10.1145/143369.143450openalex-snapshot
Orthogonal s-step methods for nonsymmetric linear systems of equations
inferred← citeshttps://doi.org/10.1145/1654059.1654096openalex-snapshot
Minimizing communication in sparse matrix solvers
inferred← citeshttps://doi.org/10.1145/2049662.2049666openalex-snapshot
High-performance up-and-downdating via householder-like transformations
inferred← citeshttps://doi.org/10.1145/2382585.2382587openalex-snapshot
Families of Algorithms for Reducing a Matrix to Condensed Form
inferred← citeshttps://doi.org/10.1145/2801948.2801986openalex-snapshot
Deflation techniques in conjunction with generic factored approximate sparse inverse preconditioning
inferred← citeshttps://doi.org/10.1145/3774949.3774963openalex-snapshot
The OPHGMRES : An Optimized Parallel Householder GMRES Iterative Algorithm
inferred← citeshttps://doi.org/10.1145/641876.641880openalex-snapshot
Object-oriented software for quadratic programming
inferred← citeshttps://doi.org/10.11540/jsiamt.19.3_293openalex-snapshot
行列の指数関数に基づく連立線形常微分方程式の大粒度並列解法とその評価(応用,行列・固有値問題の解法とその応用, 平成21年研究部会連合発表会)
inferred← citeshttps://doi.org/10.1177/10943420211003313openalex-snapshot
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic
inferred← citeshttps://doi.org/10.1186/s13661-020-01464-8openalex-snapshot
Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier–Stokes equations
inferred← citeshttps://doi.org/10.1186/s13661-021-01578-7openalex-snapshot
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem
inferred← citeshttps://doi.org/10.1186/s13661-022-01678-yopenalex-snapshot
An algorithm for solving the Navier–Stokes problem with mixed boundary conditions
inferred← citeshttps://doi.org/10.1186/s13661-024-01900-zopenalex-snapshot
The algorithmic resolution of spectral-element discretization for the time-dependent Stokes problem
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