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Design Features of a Frontal Code for Solving Sparse Unsymmetric Linear Systems Out-of-Core

https://doi.org/10.1137/0905019
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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/nme.1620020104openalex-snapshot
A frontal solution program for finite element analysis
inferredcites →https://doi.org/10.1002/nme.1620100209openalex-snapshot
Frontal solution program for unsymmetric matrices
inferredcites →https://doi.org/10.1002/spe.4380040405openalex-snapshot
The pfort verifier
inferredcites →https://doi.org/10.1093/comjnl/9.3.281openalex-snapshot
A Compact Storage Scheme for the Solution of Symmetric Linear Simultaneous Equations
inferredcites →https://doi.org/10.1137/0708060openalex-snapshot
Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1145/356044.356047openalex-snapshot
The Multifrontal Solution of Indefinite Sparse Symmetric Linear

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1097-0207(19980515)42:1<127::aid-nme357>3.0.co;2-kopenalex-snapshot
Performance issues for frontal schemes on a cache-based high-performance computer
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A new row ordering strategy for frontal solvers
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A parallel frontal solver for finite element applications
inferred← citeshttps://doi.org/10.1002/aic.690361109openalex-snapshot
Vector processing strategies for chemical process flowsheeting
inferred← citeshttps://doi.org/10.1002/cnm.870openalex-snapshot
A frontal solver for the 21st century
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Multifronts and transputer networks for solving fluid mechanical finite element systems
inferred← citeshttps://doi.org/10.1002/nme.1620240804openalex-snapshot
LU decomposition of matrices with augmented dense constraints
inferred← citeshttps://doi.org/10.1002/nme.1620280712openalex-snapshot
A frontal technique for vector computers
inferred← citeshttps://doi.org/10.1007/0-306-47464-6_9openalex-snapshot
Matrix Methods
inferred← citeshttps://doi.org/10.1007/3-540-62095-8_24openalex-snapshot
Frontal software for the solution of sparse linear equations
inferred← citeshttps://doi.org/10.1007/978-1-4613-2503-1_15openalex-snapshot
Explicitly Vectorized Frontal Routine for Hydrodynamic Stability and Bifurcation Analysis by Galerkin/Finite Element Methods
inferred← citeshttps://doi.org/10.1007/978-1-4684-6754-3_20openalex-snapshot
The Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations
inferred← citeshttps://doi.org/10.1007/978-3-031-25820-6_5openalex-snapshot
Sparse Cholesky Solver: The Factorization Phase
inferred← citeshttps://doi.org/10.1007/978-3-540-75755-9_72openalex-snapshot
The Design of a New Out-of-Core Multifrontal Solver
inferred← citeshttps://doi.org/10.1007/978-94-011-5342-3_9openalex-snapshot
Advances in Computational Methods for Free-Surface Flows
inferred← citeshttps://doi.org/10.1007/bf01199294openalex-snapshot
Evaluating the performance of algebraic operations on storage schemes for large sparse matrices
inferred← citeshttps://doi.org/10.1016/0009-2509(93)80166-nopenalex-snapshot
Simulation of transport phenomena in ultrafiltration
inferred← citeshttps://doi.org/10.1016/0021-9991(91)90225-aopenalex-snapshot
Finite element applications on a shared-memory multiprocessor: Algorithms and experimental results
inferred← citeshttps://doi.org/10.1016/0098-1354(93)80024-hopenalex-snapshot
Frontal algorithms for equation-based chemical process flowsheeting on vector and parallel computers
inferred← citeshttps://doi.org/10.1016/0098-1354(94)00074-3openalex-snapshot
A multifrontal algorithm for the solution of large systems of equations using network-based parallel computing
inferred← citeshttps://doi.org/10.1016/0098-1354(94)00081-6openalex-snapshot
Generalized block-tridiagonal matrix orderings for parallel computation in process flowsheeting
inferred← citeshttps://doi.org/10.1016/0167-7977(87)90020-7openalex-snapshot
Algebraic aspects of finite-element solutions
inferred← citeshttps://doi.org/10.1016/0168-874x(87)90014-xopenalex-snapshot
Application of the frontal algorithm in the collocation method
inferred← citeshttps://doi.org/10.1016/s0098-1354(00)00565-2openalex-snapshot
Row ordering for frontal solvers in chemical process engineering
inferred← citeshttps://doi.org/10.1016/s0098-1354(00)00660-8openalex-snapshot
Two-stage ordering for unsymmetric parallel row-by-row frontal solvers
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00401-5openalex-snapshot
The impact of high-performance computing in the solution of linear systems: trends and problems
inferred← citeshttps://doi.org/10.1016/s1570-8659(00)07002-2openalex-snapshot
Gaussian elimination for the solution of linear systems of equations
inferred← citeshttps://doi.org/10.1017/s0962492916000076openalex-snapshot
A survey of direct methods for sparse linear systems
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.001.0001openalex-snapshot
Direct Methods for Sparse Matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0001openalex-snapshot
Glossary of Symbols
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0005openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0006openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0001openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0002openalex-snapshot
Sparse matrices: storage schemes and simple operations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0003openalex-snapshot
Gaussian elimination for dense matrices: the algebraic problem
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0004openalex-snapshot
Gaussian elimination for dense matrices: numerical considerations
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0005openalex-snapshot
Gaussian elimination for sparse matrices: an introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0006openalex-snapshot
Reduction to block triangular form
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Local pivotal strategies for sparse matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0008openalex-snapshot
Ordering sparse matrices for band solution
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0009openalex-snapshot
Orderings based on dissection
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0010openalex-snapshot
Implementing Gaussian elimination without symbolic factorize
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0011openalex-snapshot
Implementing Gaussian elimination with symbolic factorize
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0012openalex-snapshot
Gaussian elimination using trees
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0013openalex-snapshot
Graphs for symmetric and unsymmetric matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0014openalex-snapshot
The solve phase
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0015openalex-snapshot
Other sparsity-oriented issues
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0001openalex-snapshot
Matrix and vector norms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0002openalex-snapshot
Pictures of sparse matrices
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.005.0003openalex-snapshot
Solutions to selected exercises
inferred← citeshttps://doi.org/10.1108/ec-10-2013-0263openalex-snapshot
The extended unsymmetric frontal solution for multiple-point constraints
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Analysis of the clustering properties of the Hilbert space-filling curve
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Direct Methods for Solving Sparse Systems of Linear Equations
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The Multifrontal Solution of Unsymmetric Sets of Linear Equations
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An Adaptive General Sparse Out-Of-Core Cholesky Factorization Scheme
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A Modified Frontal Technique Suitable for Parallel Systems
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A numerical evaluation of HSL packages for the direct solution of large sparse, symmetric linear systems of equations
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An out-of-core sparse Cholesky solver
inferred← citeshttps://doi.org/10.1145/1731022.1731029openalex-snapshot
Scaling and pivoting in an out-of-core sparse direct solver
inferred← citeshttps://doi.org/10.1145/225545.225550openalex-snapshot
The design of a new frontal code for solving sparse, unsymmetric systems
inferred← citeshttps://doi.org/10.1145/305658.287640openalex-snapshot
A combined unifrontal/multifrontal method for unsymmetric sparse matrices
inferred← citeshttps://doi.org/10.1145/332242.332243openalex-snapshot
A frontal code for the solution of sparse positive-definite symmetric systems arising from finite-element applications
inferred← citeshttps://doi.org/10.1145/356044.356047openalex-snapshot
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
inferred← citeshttps://doi.org/10.1145/73721.73746openalex-snapshot
Fractals for secondary key retrieval
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Parallel frontal solvers for large sparse linear systems
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MA57---a code for the solution of sparse symmetric definite and indefinite systems
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MA62 - A Frontal Code for Sparse Positive-Definite Symmetric Systems from Finite Element Applications
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