%\section{Bibliography\label{sec:bib}}
\begin { thebibliography} { 99}
\ifpdf
\addcontentsline { toc} { section} { \refname }
\fi
\markboth { \textsc { MLD2P4 User's and Reference Guide} }
{ \textsc { References} }
%\let\refname\relax
%
\bibitem { MUMPS}
P.~R.~Amestoy, C.~Ashcraft, O.~Boiteau, A.~Buttari, J.~L'Excellent, C.~Weisbecker,
{ \em Improving multifrontal methods by means of block low-rank representations} ,
SIAM Journal on Scientific Computing, volume 37 (3), 2015, A1452--A1474.
See also { \tt http://mumps.enseeiht.fr} .
%
\bibitem { BERTACCINIFILIPPONE}
D. Bertaccini\ and\ S. Filippone,
{ \em Sparse approximate inverse preconditioners on high performance GPU platforms} ,
Comput. Math. Appl. { \bf 71} (2016), no.~3, 693--711.
%
\bibitem { BREZINA_ VANEK}
M.~Brezina, P.~Van\v { e} k,
{ \em A Black-Box Iterative Solver Based on a Two-Level Schwarz Method} ,
Computing, 63, 1999, 233--263.
%
\bibitem { Briggs2000}
W.~L.~Briggs, V.~E.~Henson, S.~F.~McCormick,
{ \em A Multigrid Tutorial, Second Edition} ,
SIAM, 2000.
%
\bibitem { para_ 04}
A.~Buttari, P.~D'Ambra, D.~di Serafino, S.~Filippone,
{ \em Extending PSBLAS to Build Parallel Schwarz Preconditioners} ,
in J.~Dongarra, K.~Madsen, J.~Wasniewski, editors,
Proceedings of PARA~04 Workshop on State of the Art
in Scientific Computing, Lecture Notes in Computer Science,
Springer, 2005, 593--602.
%
\bibitem { aaecc_ 07}
A.~Buttari, P.~D'Ambra, D.~di~Serafino, S.~Filippone,
{ \em 2LEV-D2P4: a package of high-performance preconditioners
for scientific and engineering applications} ,
Applicable Algebra in Engineering, Communications and Computing,
18 (3) 2007, 223--239.
%
%Published online: 13 February 2007, {\tt http://dx.doi.org/10.1007/s00200-007-0035-z}
%
\bibitem { CAI_ SARKIS}
X.~C.~Cai, M.~Sarkis,
{ \em A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems} ,
SIAM Journal on Scientific Computing, 21 (2), 1999, 792--797.
%
\bibitem { MatchBoxP}
U..~V.~Catalyurek, F.~Dobrian, A.~Gebremedhin, M.~Halappanavar, and A.~Pothen,
{ \em Distributed-memory parallel algorithms for matching and coloring} , in PCO’
in Parallel Computing and Optimization, IEEE International Symposium on Parallel and
Distributed Processing Workshops, IEEE CS, 2011.
%
%\bibitem{dd1_94}
%T.~Chan and T.~Mathew,
%{\em Domain Decomposition Algorithms},
%in A.~Iserles, editor, Acta Numerica 1994, 61--143.
%Cambridge University Press.
%
\bibitem { apnum_ 07}
P.~D'Ambra, S.~Filippone, D.~di~Serafino,
{ \em On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners} ,
Applied Numerical Mathematics, Elsevier Science,
57 (11-12), 2007, 1181-1196.
%published online 3 February 2007, {\tt
% http://dx.doi.org/10.1016/j.apnum.2007.01.006}
%
\bibitem { MLD2P4_ TOMS}
P.~D'Ambra, D.~di~Serafino, S.~Filippone,
\emph { MLD2P4: a Package of Parallel Multilevel
Algebraic Domain Decomposition Preconditioners
in Fortran 95} , ACM Trans. Math. Softw., 37(3), 2010, art. 30.
%
\bibitem { DV2013}
P.~D'Ambra and P.\, S.~Vassilevski,
{ \em Adaptive AMG with coarsening based on compatible weighted matching} ,
Computing and Visualization in Science, 16, (2013) 59--76.
%
\bibitem { DFV2018}
P.~D'Ambra, S.~Filippone and P.\, S.~Vassilevski,
{ \em BootCMatch: a software package for bootstrap AMG based on graph weighted matching} ,
ACM Transactions on Mathematical Software, 44, (2018) 39:1--39:25.
%
\bibitem { DDF2020}
P.~D'Ambra, F~Durastante, S.~Filippone,
\emph { AMG preconditioners for Linear Solvers towards Extreme Scale} , 2020, \href { https://arxiv.org/abs/2006.16147v3arXiv:2006.16147v2} { arXiv:2006.16147v3} .
%
\bibitem { UMFPACK}
T.~A.~Davis,
{ \em Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal
Method with a Column Pre-ordering Strategy} ,
ACM Transactions on Mathematical Software, 30, 2004, 196--199.
(See also \texttt { http://www.cise.ufl.edu/{ \textasciitilde } davis/} )
%
\bibitem { SUPERLU}
J.~W.~Demmel, S.~C.~Eisenstat, J.~R.~Gilbert, X.~S.~Li, J.~W.~H.~Liu,
{ \em A supernodal approach to sparse partial pivoting} ,
SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 720--755.
%
\bibitem { blas3}
J.~J.~Dongarra, J.~Du Croz, I.~S.~Duff, S.~Hammarling,
\emph { A set of Level 3 Basic Linear Algebra Subprograms} ,
ACM Transactions on Mathematical Software, 16 (1) 1990, 1--17.
%
\bibitem { blas2}
J.~J.~Dongarra, J.~Du Croz, S.~Hammarling, R.~J.~Hanson,
\emph { An extended set of FORTRAN Basic Linear Algebra Subprograms} ,
ACM Transactions on Mathematical Software, 14 (1) 1988, 1--17.
%
%\bibitem{BLACS}
%J.~J.~Dongarra, R.~C.~Whaley,
%{\em A User's Guide to the BLACS v.~1.1},
%Lapack Working Note 94, Tech.\ Rep.\ UT-CS-95-281, University of
%Tennessee, March 1995 (updated May 1997).
%
%\bibitem{EFSTATHIOU}
%E.~Efstathiou, J.~G.~Gander,
%{\em Why Restricted Additive Schwarz Converges Faster than Additive Schwarz},
%BIT Numerical Mathematics, 43 (5), 2003, 945--959.
%
\bibitem { PSBLASGUIDE}
S.~Filippone, A.~Buttari,
{ \em PSBLAS 3.5.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library} , 2012,
available from \texttt { https://github.com/sfilippone/psblas3/tree/master/docs} .
%
\bibitem { PSBLAS3}
S.~Filippone, A.~Buttari,
{ \em Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003} .
ACM Transactions on on Mathematical Software, 38 (4), 2012, art.~23.
%
\bibitem { psblas_ 00}
S.~Filippone, M.~Colajanni,
{ \em PSBLAS: A Library for Parallel Linear Algebra
Computation on Sparse Matrices} ,
ACM Transactions on Mathematical Software, 26 (4), 2000, 527--550.
%
\bibitem { GrHeJi:16}
S. Gratton, P. Henon, P. Jiranek and X. Vasseur,
{ \em Reducing complexity of algebraic multigrid by aggregation} ,
Numerical Lin. Algebra with Applications, 2016, 23:501-518
%
\bibitem { MPI2}
W.~Gropp, S.~Huss-Lederman, A.~Lumsdaine, E.~Lusk, B.~Nitzberg, W.~Saphir, M.~Snir,
{ \em MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions} ,
MIT Press, 1998.
%
\bibitem { blas1}
C.~L.~Lawson, R.~J.~Hanson, D.~Kincaid, F.~T.~Krogh,
\emph { Basic Linear Algebra Subprograms for FORTRAN usage} ,
ACM Transactions on Mathematical Software, 5 (3), 1979, 308--323.
%
\bibitem { SUPERLUDIST}
X.~S.~Li, J.~W.~Demmel,
{ \em SuperLU\_ DIST: A Scalable Distributed-memory
Sparse Direct Solver for Unsymmetric Linear Systems} ,
ACM Transactions on Mathematical Software, 29 (2), 2003, 110--140.
%
\bibitem { Notay2008}
Y.~Notay, P.~S.~Vassilevski,
{ \em Recursive Krylov-based multigrid cycles} ,
Numerical Linear Algebra with Applications, 15 (5), 2008, 473--487.
%
\bibitem { Saad_ book}
Y.~Saad,
{ \em Iterative methods for sparse linear systems} , 2nd edition, SIAM, 2003.
%
\bibitem { dd2_ 96}
B.~Smith, P.~Bjorstad, W.~Gropp,
{ \em Domain Decomposition: Parallel Multilevel Methods for Elliptic
Partial Differential Equations} ,
Cambridge University Press, 1996.
%
\bibitem { MPI1}
M.~Snir, S.~Otto, S.~Huss-Lederman, D.~Walker, J.~Dongarra,
{ \em MPI: The Complete Reference. Volume 1 - The MPI Core} , second edition,
MIT Press, 1998.
%
\bibitem { Stuben_ 01}
K.~St\" { u} ben,
{ \em An Introduction to Algebraic Multigrid} ,
in A.~Sch\" { u} ller, U.~Trottenberg, C.~Oosterlee, Multigrid,
Academic Press, 2001.
%
\bibitem { TUMINARO_ TONG}
R.~S.~Tuminaro, C.~Tong,
{ \em Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines} , in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.
%
\bibitem { VANEK_ MANDEL_ BREZINA}
P.~Van\v { e} k, J.~Mandel, M.~Brezina,
{ \em Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems} ,
Computing, 56 (3) 1996, 179--196.
%
\end { thebibliography}
