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» Generic Graph Algorithms for Sparse Matrix Ordering
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ISCOPE
1999
Springer
13 years 9 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»
12 years 11 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 4 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 9 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