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Orderings for Conjugate Gradient Preconditionings

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4899-2112-3openalex-snapshot

Introduction to Parallel and Vector Solution of Linear Systems

inferredcites →https://doi.org/10.1007/bf01932738openalex-snapshot

The effect of ordering on preconditioned conjugate gradients

inferredcites →https://doi.org/10.1016/0010-4655(89)90162-8openalex-snapshot

ICCG and related methods for 3D problems on vector computers

inferredcites →https://doi.org/10.1016/0010-4655(89)90163-xopenalex-snapshot

Parallel elliptic preconditioners: Fourier analysis and performance on the connection machine

inferredcites →https://doi.org/10.1016/0010-4655(89)90164-1openalex-snapshot

Ordering techniques for the preconditioned conjugate gradient method on parallel computers

inferredcites →https://doi.org/10.1016/0020-0190(76)90077-6openalex-snapshot

Matrix multiplication by diagonals on a vector/parallel processor

inferredcites →https://doi.org/10.1016/0167-8191(87)90005-6openalex-snapshot

Large tridiagonal and block tridiagonal linear systems on vector and parallel computers

inferredcites →https://doi.org/10.1016/0377-0427(89)90372-5openalex-snapshot

Vectorizable preconditioners for elliptic difference equations in three space dimensions

inferredcites →https://doi.org/10.1016/0377-0427(89)90373-7openalex-snapshot

Solving 3D block bidiagonal linear systems on vector computers

inferredcites →https://doi.org/10.1016/b978-0-12-407475-0.50017-6openalex-snapshot

Solution of Three-Dimensional Generalized Poisson Equations on Vector Computers

inferredcites →https://doi.org/10.1016/c2009-0-21990-8openalex-snapshot

Applied Iterative Methods

inferredcites →https://doi.org/10.1016/c2013-0-11733-3openalex-snapshot

Iterative Solution of Large Linear Systems

inferredcites →https://doi.org/10.1137/0724090openalex-snapshot

Multicolor ICCG Methods for Vector Computers

inferredcites →https://doi.org/10.1137/0902001openalex-snapshot

Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods

inferredcites →https://doi.org/10.1137/0903021openalex-snapshot

A Vectorizable Variant of some ICCG Methods

inferredcites →https://doi.org/10.1137/0907033openalex-snapshot

Is SOR Color-Blind?

inferredcites →https://doi.org/10.1137/0909009openalex-snapshot

On Vectorizing Incomplete Factorization and SSOR Preconditioners

inferredcites →https://doi.org/10.1137/0910043openalex-snapshot

On the Robustness of ILU Smoothing

inferredcites →https://doi.org/10.1137/0910071openalex-snapshot

High Performance Preconditioning

inferredcites →https://doi.org/10.1137/0911008openalex-snapshot

Aggregation Methods for Solving Sparse Triangular Systems on Multiprocessors

inferredcites →https://doi.org/10.2307/2003862openalex-snapshot

Matrix Iterative Analysis

inferredcites →https://doi.org/10.2307/2004942openalex-snapshot

Iterative Solution of Nonlinear Equations in Several Variables

What points at this work

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inferred← citeshttps://doi.org/10.1002/9780470125809.ch1openalex-snapshot

Optimization Methods in Computational Chemistry

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Parallel Heuristics for Improved, Balanced Graph Colorings

inferred← citeshttps://doi.org/10.1007/bf02074880openalex-snapshot

Towards a cost-effective ILU preconditioner with high level fill

inferred← citeshttps://doi.org/10.1007/bfb0023062openalex-snapshot

Efficient parallel graph coloring with prioritization

inferred← citeshttps://doi.org/10.1016/0167-8191(94)90004-3openalex-snapshot

Scalable iterative solution of sparse linear systems

inferred← citeshttps://doi.org/10.1016/0167-8191(96)80005-6openalex-snapshot

An efficient parallel discrete PDE solver

inferred← citeshttps://doi.org/10.1016/0168-9274(95)00080-eopenalex-snapshot

SOR as a preconditioner

inferred← citeshttps://doi.org/10.1016/b978-0-12-289253-0.50014-2openalex-snapshot

Bibliography

inferred← citeshttps://doi.org/10.1016/j.advengsoft.2008.11.010openalex-snapshot

A comparison of projective and direct solvers for finite elements in elastostatics

inferred← citeshttps://doi.org/10.1016/s0167-8191(99)00064-2openalex-snapshot

Ordering strategies and related techniques to overcome the trade-off between parallelism and convergence in incomplete factorizations

inferred← citeshttps://doi.org/10.1016/s0955-7997(03)00016-xopenalex-snapshot

Performance of iterative solvers for acoustic problems. Part II. Acceleration by ILU-type preconditioner

inferred← citeshttps://doi.org/10.1137/040604777openalex-snapshot

A New Block Parallel SOR Method and Its Analysis

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Fast Solution of Nonlinear Poisson-Type Equations

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Ordering Strategies for Modified Block Incomplete Factorizations

inferred← citeshttps://doi.org/10.1137/1.9780898718003openalex-snapshot

Iterative Methods for Sparse Linear Systems

inferred← citeshttps://doi.org/10.1137/s0895479899354251openalex-snapshot

A Multilevel Dual Reordering Strategy for Robust Incomplete LU Factorization of Indefinite Matrices

inferred← citeshttps://doi.org/10.1137/s1064827593256244openalex-snapshot

Orderings for Parallel Conjugate Gradient Preconditioners

inferred← citeshttps://doi.org/10.1137/s1064827597303370openalex-snapshot

New Parallel SOR Method by Domain Partitioning

inferred← citeshttps://doi.org/10.1137/s1064827597326845openalex-snapshot

Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems

inferred← citeshttps://doi.org/10.1587/transfun.e92.a.1322openalex-snapshot

A Reordering Heuristic for Accelerating the Convergence of the Solution of Some Large Sparse PDE Matrices on Structured Grids by the Krylov Subspace Methods with the ILUT Preconditioner

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Parallelizing Sequential Sweeping on Structured Grids -- Parallel SOR/ILU preconditioners for Structured n-Diagonal Matrices

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Parallel iterative solution of sparse linear systems using orderings from graph coloring heuristics

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An unstructured grid approach to sensitivity analysis and shape optimization using the Euler equations

inferred← citeshttps://doi.org/10.48550/arxiv.1008.3699openalex-snapshot

Parallelizing Sequential Sweeping on Structured Grids -- Fully Parallel SOR/ILU preconditioners for Structured n-Diagonal Matrices

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