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» Sparse matrix factorization on massively parallel computers
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SIAMSC
2010
142views more  SIAMSC 2010»
14 years 4 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...
87
Voted
ICPPW
2002
IEEE
15 years 2 months ago
Parallel Cholesky Factorization of a Block Tridiagonal Matrix
In this paper we discuss the parallel implementation of the Cholesky factorization of a positive definite symmetric matrix when that matrix is block tridiagonal. While parallel im...
Thuan D. Cao, John F. Hall, Robert A. van de Geijn
HPCN
1997
Springer
15 years 1 months ago
Parallel Solution of Irregular, Sparse Matrix Problems Using High Performance Fortran
For regular, sparse, linear systems, like those derived from regular grids, using High Performance Fortran (HPF) for iterative solvers is straightforward. However, for irregular ma...
Eric de Sturler, Damian Loher
ICS
2005
Tsinghua U.
15 years 3 months ago
Parallel sparse LU factorization on second-class message passing platforms
Several message passing-based parallel solvers have been developed for general (non-symmetric) sparse LU factorization with partial pivoting. Due to the fine-grain synchronizatio...
Kai Shen
PPOPP
1991
ACM
15 years 1 months ago
Coarse-Grain Parallel Programming in Jade
This paper presents Jade, a language which allows a programmer to easily express dynamic coarse-grain parallelism. Starting with a sequential program, a programmer augments those ...
Monica S. Lam, Martin C. Rinard