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» Generic Graph Algorithms for Sparse Matrix Ordering
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ISCOPE
1999
Springer
13 years 11 months ago
Generic Graph Algorithms for Sparse Matrix Ordering
Fill-reducing sparse matrix orderings have been a topic of active research for many years. Although most such algorithms are developed and analyzed within a graph-theoretical frame...
Lie-Quan Lee, Jeremy G. Siek, Andrew Lumsdaine
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 2 months ago
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
In this paper we present HUND, a hypergraph-based unsymmetric nested dissection ordering algorithm for reducing the fill-in incurred during Gaussian elimination. HUND has several i...
Laura Grigori, Erik G. Boman, Simplice Donfack, Ti...
PC
2008
111views Management» more  PC 2008»
13 years 7 months ago
A partitioning algorithm for block-diagonal matrices with overlap
We present a graph partitioning algorithm that aims at partitioning a sparse matrix into a block-diagonal form, such that any two consecutive blocks overlap. We denote this form o...
Guy Antoine Atenekeng Kahou, Laura Grigori, Masha ...
IPPS
2000
IEEE
13 years 11 months ago
On Optimal Fill-Preserving Orderings of Sparse Matrices for Parallel Cholesky Factorizations
In this paper, we consider the problem of nding llpreserving ordering of a sparse symmetric and positive de nite matrix such that the reordered matrix is suitable for parallel fac...
Wen-Yang Lin, Chuen-Liang Chen