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The effect of ordering on preconditioned conjugate gradients

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Yale sparse matrix package I: The symmetric codes
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Applied Iterative Methods
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An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix
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Direct Methods for Sparse Matrices
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Direct solutions of sparse network equations by optimally ordered triangular factorization
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Nested Dissection of a Regular Finite Element Mesh
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On George’s Nested Dissection Method
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Analysis of the SOR Iteration for the 9-Point Laplacian
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Incomplete Factorization Methods for Fully Implicit Simulation of Enhanced Oil Recovery
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Block Preconditioning for the Conjugate Gradient Method
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Is SOR Color-Blind?
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Two-Color Fourier Analysis of Iterative Algorithms for Elliptic Problems with Red/Black Ordering
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Reducing the bandwidth of sparse symmetric matrices
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Incomplete LU Preconditioners for Conjugate-Gradient-Type Iterative Methods
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Block-Preconditioned Conjugate-Gradient-Like Methods for Numerical Reservoir Simulation
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An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
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Computer Solution of Large Sparse Positive Definite Systems.
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Direct Methods for Sparse Matrices.
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Applied iterative methods

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Iterative solution of linear systems in the 20th century
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Efficient and reliable iterative methods for linear systems
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Fast linear equation solvers in high performance electromagnetic field analysis
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On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem
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Experimental study of ILU preconditioners for indefinite matrices
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Numerical experiences of solving elasticity systems by PCG methods
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Convergence and performance of iterative methods for solving variable coefficient convection-diffusion equation with a fourth-order compact difference scheme
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Efficient approximate solution of sparse linear systems
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Solving systems of elastic bar structures by preconditioned conjugate gradient method
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Renumbering unstructured grids to improve the performance of codes on hierarchical memory machines
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Solution of Linear Systems
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Parallel numerical linear algebra
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Linear algebra software for large-scale accelerated multicore computing
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Heuristic Spectral Techniques for the Reduction of Bandwidth and Work-Bound of Sparse Matrices
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Experimental comparison of three-dimensional point and line modified incomplete factorizations
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Block Red-Black Ordering: A New Ordering Strategy for Parallelization of ICCG Method
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Colloid‐facilitated contaminant transport in discretely fractured porous media: 1. Numerical formulation and sensitivity analysis
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A weighted reverse Cuthill–McKee procedure for finite element method algorithms to solve strongly anisotropic electrodynamic problems
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On the robustness of modified incomplete factorization methods
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Large-numbered multicolor milu preconditioning on sx-3/14
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Parallel preconditioned conjugate-gradient type algorithms for general sparsity structures
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Drop tolerance preconditioning for incompressible viscous flow
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Interior dual proximal point algorithm using preconditioned conjugate gradient †
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A Study of preconditioned Krylov subspace methods with reordering for linear systems from a biphasicv–pfinite element formulation
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PRECONDITIONING TECHNIQUES FOR THE BiCGSTAB ALGORITHM USED IN CONVECTION-DIFFUSION PROBLEMS
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Reconstruction of the photon diffusion coefficient in optical tomography
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On the iterative methods for solving linear systems of equations
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Sparse Numerical Linear Algebra: Direct Methods and Preconditioning
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Parallelized ICCG method using block-multicolor orderings in real symmetric linear system derived from voltage-driven FEM in time domain
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An efficient preconditioned Krylov subspace method for large-scale finite element equations with MPC using Lagrange multiplier method
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A combined reordering procedure for preconditioned GMRES applied to solving equations using Lagrange multiplier method
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Parallel processing of 3-D eddy current analysis with moving conductor using parallelized ICCG solver with renumbering process
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Construction and ordering of edge elements for parallel computation
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Algebraic multicolor ordering for parallelized ICCG solver in finite-element analyses
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An adaptation of the interior point method for solving the global routing problem
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Computation-free preconditioners for the parallel solution of power system problems
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Toward improved uses of the conjugate gradient method for power system applications
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Critical evaluation of direct and iterative methods for solving Ax=b systems in power flow calculations and contingency analysis
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Hierarchical Parallelization of Multi-coloring Algorithms for Block IC Preconditioners
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A Layered Communication Optimization Method Based on OpenFOAM
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New block parallel SOR methods by multi-type partitions
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New block parallel SOR methods by multi-type partitions
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Algebraic Block Multi-Color Ordering Method for Parallel Multi-Threaded Sparse Triangular Solver in ICCG Method
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The Reverse Cuthill-McKee Algorithm in Distributed-Memory
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HTS: A Threaded Multilevel Sparse Hybrid Solver
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Effective implementation of the High Performance Conjugate Gradient benchmark on GraphBLAS
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Performance evaluation of a new parallel preconditioner
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Cenju-3 parallel computer and its application to CFD
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Three-dimensional finite brick-type edge-element eddy current analysis using parallelized linear-system solvers
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Parallel processing of ILU preconditioned BiCGSTAB solver using algebraic multi-color ordering method
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Evaluation of Splitting-Up Conjugate Gradient Method on GPUs
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Critical evaluation of direct and iterative methods for solving Ax=b systems in power flow calculations and contingency analysis
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Norm-Coarsened Ordering for Parallel Incomplete Cholesky Preconditioning
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DBSR: An Efficient Storage Format for Vectorizing Sparse Triangular Solvers on Structured Grids
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