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Exploiting Structural Symmetry in a Sparse Partial Pivoting Code

https://doi.org/10.1137/0914016
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What this work says

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

inferredcites →https://doi.org/10.1137/0201008openalex-snapshot
The Transitive Reduction of a Directed Graph
inferredcites →https://doi.org/10.1137/0613017openalex-snapshot
Exploiting Structural Symmetry in Unsymmetric Sparse Symbolic Factorization
inferredcites →https://doi.org/10.1137/0906028openalex-snapshot
An Implementation of Gaussian Elimination with Partial Pivoting for Sparse Systems
inferredcites →https://doi.org/10.1137/0909058openalex-snapshot
Sparse Partial Pivoting in Time Proportional to Arithmetic Operations
inferredcites →https://doi.org/10.1145/356502.356498openalex-snapshot
Algorithm 533: NSPIV, a Fortran subroutine for sparse Gaussian elimination with partial pivoting [F4]
inferredcites →https://doi.org/10.1145/62038.62043openalex-snapshot
Sparse matrix test problems
inferredcites →https://doi.org/10.1177/109434208700100403openalex-snapshot
Progress in Sparse Matrix Methods for Large Linear Systems On Vector Supercomputers

What points at this work

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

inferred← citeshttps://doi.org/10.1002/gamm.201490037openalex-snapshot
Combinatorial Aspects in Sparse Elimination Methods
inferred← citeshttps://doi.org/10.1007/978-3-031-25820-6_6openalex-snapshot
Sparse LU Factorizations
inferred← citeshttps://doi.org/10.1007/978-3-319-53429-9_3openalex-snapshot
Overall Solver Flow
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
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0007openalex-snapshot
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/10.1109/iccad66269.2025.11240789openalex-snapshot
SubtreeLU: High-Performance Parallel Sparse LU Factorization for Circuit Simulation
inferred← citeshttps://doi.org/10.1109/sc.2002.10032openalex-snapshot
A New Scheduling Algorithm for Parallel Sparse LU Factorization with Static Pivoting
inferred← citeshttps://doi.org/10.1109/tc.2014.2308202openalex-snapshot
Parallel Sparse Matrix Solution for Circuit Simulation on FPGAs
inferred← citeshttps://doi.org/10.1137/s0895479894246905openalex-snapshot
An Unsymmetric-Pattern Multifrontal Method for Sparse LU Factorization
inferred← citeshttps://doi.org/10.1137/s0895479895291765openalex-snapshot
A Supernodal Approach to Sparse Partial Pivoting
inferred← citeshttps://doi.org/10.1137/s0895479897317685openalex-snapshot
An Asynchronous Parallel Supernodal Algorithm for Sparse Gaussian Elimination
inferred← citeshttps://doi.org/10.1137/s1064827502403411openalex-snapshot
A Robust and Efficient ILU that Incorporates the Growth of the Inverse Triangular Factors
inferred← citeshttps://doi.org/10.1145/1326548.1326550openalex-snapshot
Parallel unsymmetric-pattern multifrontal sparse LU with column preordering
inferred← citeshttps://doi.org/10.1145/229473.229476openalex-snapshot
The design of MA48
inferred← citeshttps://doi.org/10.1145/3581784.3607050openalex-snapshot
PanguLU: A Scalable Regular Two-Dimensional Block-Cyclic Sparse Direct Solver on Distributed Heterogeneous Systems
inferred← citeshttps://doi.org/10.1145/569147.569149openalex-snapshot
Recent advances in direct methods for solving unsymmetric sparse systems of linear equations
inferred← citeshttps://doi.org/10.5555/2755753.2755798openalex-snapshot
A fast parallel sparse solver for SPICE-based circuit simulators
inferred← citeshttps://doi.org/10.5555/762761.762772openalex-snapshot
A New Scheduling Algorithm for Parallel Sparse LU Factorization with Static Pivoting
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