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On the Performance of the Minimum Degree Ordering for Gaussian Elimination

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

inferredcites →https://doi.org/10.1016/b978-1-4832-3187-7.50018-0openalex-snapshot
A GRAPH-THEORETIC STUDY OF THE NUMERICAL SOLUTION OF SPARSE POSITIVE DEFINITE SYSTEMS OF LINEAR EQUATIONS
inferredcites →https://doi.org/10.1109/proc.1967.6011openalex-snapshot
Direct solutions of sparse network equations by optimally ordered triangular factorization
inferredcites →https://doi.org/10.1137/0602010openalex-snapshot
Computing the Minimum Fill-In is NP-Complete
inferredcites →https://doi.org/10.1137/0715006openalex-snapshot
On the Application of the Minimum Degree Algorithm to Finite Element Systems
inferredcites →https://doi.org/10.1137/0716027openalex-snapshot
Generalized Nested Dissection
inferredcites →https://doi.org/10.1137/1003021openalex-snapshot
The Use of Linear Graphs in Gauss Elimination
inferredcites →https://doi.org/10.2307/2007640openalex-snapshot
Computer Solution of Large Sparse Positive Definite Systems.
inferredcites →https://doi.org/10.7146/dpb.v9i123.6541openalex-snapshot
Direct Methods for Sparse Matrices

What points at this work

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

inferred← citeshttps://doi.org/10.1007/3-540-44666-4_9openalex-snapshot
An Online Algorithm for the Postman Problem with a Small Penalty
inferred← citeshttps://doi.org/10.1007/3-540-45262-1_16openalex-snapshot
Nested-Dissection Orderings for Sparse LU with Partial Pivoting
inferred← citeshttps://doi.org/10.1007/3-540-63138-0_22openalex-snapshot
Parallel sparse Cholesky factorization
inferred← citeshttps://doi.org/10.1007/978-1-4612-1516-5_11openalex-snapshot
Coarsening, Sampling, and Smoothing: Elements of the Multilevel Method
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
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/10.1023/a:1021908421589openalex-snapshot
Towards a Tighter Coupling of Bottom-Up and Top-Down Sparse Matrix Ordering Methods
inferred← citeshttps://doi.org/10.1093/oso/9780198500148.003.0002openalex-snapshot
Sparse Numerical Linear Algebra: Direct Methods and Preconditioning
inferred← citeshttps://doi.org/10.1109/focs.2018.00019openalex-snapshot
Graph Sketching against Adaptive Adversaries Applied to the Minimum Degree Algorithm
inferred← citeshttps://doi.org/10.1109/sfcs.1997.646116openalex-snapshot
Parallelizing elimination orders with linear fill
inferred← citeshttps://doi.org/10.1137/1.9781611976465.45openalex-snapshot
A Fast Minimum Degree Algorithm and Matching Lower Bound
inferred← citeshttps://doi.org/10.1137/1033099openalex-snapshot
Parallel Algorithms for Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/s0895479801385037openalex-snapshot
Nested-Dissection Orderings for Sparse LU with Partial Pivoting
inferred← citeshttps://doi.org/10.1137/s0895479896299081openalex-snapshot
Robust Ordering of Sparse Matrices using Multisection
inferred← citeshttps://doi.org/10.1137/s0895479896302692openalex-snapshot
Node Selection Strategies for Bottom-Up Sparse Matrix Ordering
inferred← citeshttps://doi.org/10.1137/s0895479897319313openalex-snapshot
Performance of Greedy Ordering Heuristics for Sparse Cholesky Factorization
inferred← citeshttps://doi.org/10.1137/s1064827596300656openalex-snapshot
Improving the Run Time and Quality of Nested Dissection Ordering
inferred← citeshttps://doi.org/10.1145/1378533.1378559openalex-snapshot
Graph partitioning into isolated, high conductance clusters
inferred← citeshttps://doi.org/10.1145/305619.305640openalex-snapshot
Tradeoffs between parallelism and fill in nested dissection
inferred← citeshttps://doi.org/10.1201/9781420010572.ch40openalex-snapshot
Sparse Matrix Methods
inferred← citeshttps://doi.org/10.1201/b16113-62openalex-snapshot
Sparse Matrix Methods
inferred← citeshttps://doi.org/10.2172/15013116openalex-snapshot
Object-oriented algorithmic laboratory for ordering sparse matrices
inferred← citeshttps://doi.org/10.48550/arxiv.1711.08446openalex-snapshot
On Computing Min-Degree Elimination Orderings
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