The role of elimination trees in sparse factorization
SIAM Journal on Matrix Analysis and Applications
Exploiting structural symmetry in unsymmetric sparse symbolic factorization
SIAM Journal on Matrix Analysis and Applications
A mapping algorithm for parallel sparse Cholesky factorization
SIAM Journal on Scientific Computing
In search of clusters (2nd ed.)
In search of clusters (2nd ed.)
A Supernodal Approach to Sparse Partial Pivoting
SIAM Journal on Matrix Analysis and Applications
A parallel algorithm for sparse symbolic LU factorization without pivoting on out—of—core matrices
ICS '01 Proceedings of the 15th international conference on Supercomputing
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In this paper we address necessary issues in developing an efficient parallel sparse LU factorization without pivoting in a cluster technology. The algorithm we propose reduces the communications between processors by using an adequate mapping algorithm. The volume of communications during parallel symbolic factorization is decreased by using the notion of symmetric pruning of the directed graph of L.