Bibtex de la publication

@Article{ AmPu2002.1,
author = {Amestoy, Patrick and Puglisi, Chiara},
title = "{An unsymmetrized multifrontal LU factorization}",
journal = {SIAM Journal on Matrix Analysis and Applications},
publisher = {},
year = {2002},
volume = {24},
number = {2},
pages = {553--569},
keywords = {sparse linear equations, unsymmetric matrices, Gaussian elimination, multifrontal methods, elimination tree},
note = { Partially supported by Department of Energy under contract number DE-AC03-76SF00098},
abstract = {A well known approach to computing the LU factorization of a general unsymmetric matrix A is to build the elimination tree associated with the pattern of the symmetric matrix A + AT and use it as a computational graph to drive the numerical factorization. This approach, although very efficient on a large range of unsymmetric matrices, does not capture the unsymmetric structure of the matrices. We introduce a new algorithm which detects and exploits the structural asymmetry of the submatrices involved during the processing of the elimination tree. We show that, with the new algorithm, significant gains both in memory and in time to perform the factorization can be obtained. }