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@INPROCEEDINGS{Bcker:155246,
author = {Bücker, H. Martin and Sauren, Manfred},
title = {{A} variant of the biconjugate gradient method suitable for
massively parallel computing},
volume = {1253},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
reportid = {FZJ-2014-04420},
isbn = {978-3-540-63138-5 (print)},
series = {Lecture Notes in Computer Science},
pages = {72 - 79},
year = {1997},
comment = {Solving Irregularly Structured Problems in Parallel},
booktitle = {Solving Irregularly Structured
Problems in Parallel},
abstract = {Starting from a specific implementation of the Lanczos
biorthogonalization algorithm, an iterative process for the
solution of systems of linear equations with general
non-Hermitian coefficient matrix is derived. Due to the
orthogonalization of the underlying Lanczos process the
resulting iterative scheme involves inner products leading
to global communication and synchronization on parallel
processors. For massively parallel computers, these effects
cause considerable delays often preventing the scalability
of the implementation. In the process proposed, all inner
product-like operations of an iteration step are independent
such that the implementation consists of only a single
global synchronization point per iteration. In exact
arithmetic, the process is shown to be mathematically
equivalent to the biconjugate gradient method. The
efficiency of this new variant is demonstrated by numerical
experiments on a PARAGON system using up to 121 processors.},
month = {Jun},
date = {1997-06-11},
organization = {Fourth International Symposium on
Solving Irregularly Structured Problems
in Parallel, Paderborn (Germany), 11
Jun 1997 - 13 Jun 1997},
cin = {ZAM / JSC},
ddc = {004},
cid = {I:(DE-Juel1)VDB62 / I:(DE-Juel1)JSC-20090406},
pnm = {899 - ohne Topic (POF2-899)},
pid = {G:(DE-HGF)POF2-899},
typ = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
doi = {10.1007/3-540-63138-0_7},
url = {https://juser.fz-juelich.de/record/155246},
}