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BibTeX

@article{IDR1,
author = {Peter Sonneveld and
Martin B. van Gijzen},
title = {{IDR}(s): A Family of Simple and Fast Algorithms for Solving
Large Nonsymmetric Systems of Linear Equations},
journal = {SIAM J. Scientific Computing},
volume = {31},
number = {2},
year = {2008},
pages = {1035-1062},
ee = {http://dx.doi.org/10.1137/070685804},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
@article{IDR2,
author = {Van Gijzen, Martin B. and Sonneveld, Peter},
title = {Algorithm 913: An elegant {IDR}(s) variant that efficiently exploits biorthogonality properties},
journal = {ACM Trans. Math. Softw.},
issue_date = {November 2011},
volume = {38},
number = {1},
month = dec,
year = {2011},
issn = {0098-3500},
pages = {5:1--5:19},
articleno = {5},
numpages = {19},
url = {http://doi.acm.org/10.1145/2049662.2049667},
doi = {10.1145/2049662.2049667},
acmid = {2049667},
publisher = {ACM},
address = {New York, NY, USA},
keywords = {IDR, IDR(s), Iterative methods, Krylov-subspace methods, sparse nonsymmetric linear systems}
}
@book{Trottenberg2003,
title = {{M}ultigrid},
author = {Ulrich Trottenberg and Cornelis Oosterlee and Anton Schüller},
address = {Amsterdam},
publisher = {Academic Press},
year = {2003},
ISBN = {0-12-701070-X ; 978-0-12-701070-0}
}
@book{SAAD,
author = {Y. Saad},
title = {{I}terative {M}ethods for {S}parse {L}inear {S}ystems},
year = {2003},
isbn = {0898715342},
publisher = {{S}ociety for {I}ndustrial and {A}pplied {M}athematics},
address = {Philadelphia, PA, USA},
}
@BOOK{templates,
AUTHOR = {R. Barrett and M. Berry and T. F. Chan and J. Demmel and J. Donato and J. Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. Van der Vorst },
TITLE = {{Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods}},
PUBLISHER = {SIAM},
YEAR = {1994},
edition={2},
ADDRESS = {Philadelphia, PA}
}
@book{Demmel,
title={{A}pplied {N}umerical {L}inear {A}lgebra},
author={Demmel, James W},
address={Philadelphia, PA},
publisher={SIAM},
year={1997},
}
@phdthesis{Lukarski2012,
author = {Lukarski, Dimitar},
title = {{P}arallel {S}parse {L}inear {A}lgebra for {M}ulti-core and {M}any-core {P}latforms -- {P}arallel {S}olvers and {P}reconditioners},
school = {Karlsruhe Institute of Technology},
year = {2012}
}
@Article{chebpoly,
author = {Hasan Dag and Adam Semlyen},
title = {A New Preconditioned Conjugate Gradient Power Flow},
journal = {IEEE Transactions on Power Systems},
year = 2003,
volume = 18,
number = 4,
pages = {1248-1255}
}
@Article{stueben,
author={K. stueben},
title={Algebraic Multigrid ({AMG}): An Introduction With Applications},
journal={Journal of Computational and Applied Mathematics},
year=2001,
volume=128,
pages={281-309}
}
@Article{vanek,
author={P. Vanek and J. Mandel and M. Brezina},
title={Algebraic Multigrid By Smoothed Aggregation For Second And Fourth Order Elliptic Problems},
journal={Computing},
year=1996,
volume=56,
number=3,
pages={179-196}
}
@Article{kolotilina,
author={L. Y. Kolotilina and A. Y. Yeremin},
title={Factorized Sparse Approximate Inverse Preconditionings, 1. Theory},
journal={SIAM J. Matrix Anal. Appl.},
year=1993,
volume=14,
pages={45-58}
}
@Article{grote,
author={M. J. Grote and T. Huckle},
title={Effective Parallel Preconditioning with Sparse Approximate Inverses},
journal={PPSC},
year=1995,
pages={466-471},
}
@Misc{mm,
author = {{Matrix Market}},
title = {Format description},
note = {http://math.nist.gov/MatrixMarket/formats.html}
}
@Misc{mm-read,
author = {{Matrix Market}},
title = {MATLAB interface},
note = {http://math.nist.gov/MatrixMarket/mmio/matlab/mmiomatlab.html}
}
@ARTICLE{RAS,
author = {X. Cai and M. Sarkis},
title = {{A} {R}estricted {A}dditive {S}chwarz {P}reconditioner for {G}eneral {S}parse {L}inear {S}ystems},
journal = {SIAM J. Sci. Comput},
year = {1999},
volume = {21},
pages = {792--797}
}
@book{Quarteroni1999,
title = {{D}omain {D}ecomposition {M}ethods for {P}artial {D}ifferential {E}quations},
series = {Numerical Mathematics and Scientific Computation},
author = {A. Quarteroni and A. Valli},
address = {Oxford},
publisher = {Clarendon Press},
year = {1999},
edition = {1},
ISBN = {0-19-850178-1}
}
@book{Smith1996,
title = {{D}omain {D}ecomposition: {P}arallel {M}ultilevel {M}ethods for {E}lliptic {P}artial {D}ifferential {E}quations},
author = {Barry Smith and Petter Bjørstad and William Gropp},
address = {Cambridge},
publisher = {Cambridge Univ. Press},
year = {1996},
ISBN = {0-521-49589-X}
}
@book{Toselli2005,
title = {{D}omain {D}ecomposition {M}ethods - {A}lgorithms and {T}heory},
series = {Springer Series in Computational Mathematics ; 34},
author = {A. Toselli and O. Widlund},
address = {Berlin},
publisher = {Springer},
year = {2005},
ISBN = {3-540-20696-5 ; 978-3-642-05848-6}
}
@misc{bicgstabl,
author = {Gerard L. G and Gerard Sleijpen and Diederik Fokkema},
title = {{B}icgstab(l) {F}or {L}inear {E}quations {I}nvolving {U}nsymmetric {M}atrices {W}ith {C}omplex {S}pectrum},
year = {1993}
}
@ARTICLE{fcg,
author = {Yvan Notay},
title = {{F}lexible conjugate gradients},
journal = {SIAM J. Sci. Comput},
year = {2000},
volume = {22},
pages = {1444--1460}
}
@article{qmrcgstab,
title = "A parallel version of {QMRCGSTAB} method for large linear systems in distributed parallel environments ",
journal = "Applied Mathematics and Computation ",
volume = "172",
number = "2",
pages = "744 - 752",
year = "2006",
note = "Special issue for The Beijing-HK Scientific Computing Meetings ",
author = "Xingping Liu and Tongxiang Gu and Xudeng Hang and Zhiqiang Sheng"
}
@misc{pairwiseamg,
author = {Y. Notay},
title = {{A}n aggregation-based algebraic multigrid method},
journal = {Electron. Trans. Numer. Anal.},
volume = {37},
pages = {123--146},
year = {2010}
}