@article{sing1,
   author    = {Y. Notay},
   title     = {Polynomial acceleration of iterative schemes associated with 
       subproper splittings},
   journal   = jcam,
   pages     = {153-167},
   year      = 1988,
   volume    = 24
}


@article{sing2,
   author    = {Y. Notay},
   title     = {Incomplete factorization of singular linear systems},
   journal   = {BIT},
   pages     = {682-702},
   year      = 1989,
   volume    = 29
}


@inproceedings{pcgproc,
   author    = {Y. Notay},
   editor    = {O. Axelsson and L.Yu. Kolotilina},
   title     = {Solving positive (semi)definite linear systems by preconditioned
       iterative methods},
   booktitle = {Preconditioned Conjugate Gradient Methods},
   pages     = {105-125},
   year      = 1990,
   publisher = {Springer-Verlag},
   address   = {Berlin Heidelberg New York},
   series    = {Lectures Notes in Mathematics No. 1457}
}


@article{bloc,
   author    = {Y. Notay},
   title     = {Conditioning analysis of modified block incomplete 
       factorizations},
   journal   = laa,
   pages     = {711-722},
   year      = 1991,
   volume    = {154-156}
}


@article{manobloc,
   author    = {M. M. Magolu and Y. Notay},
   title     = {On the conditioning analysis of block approximate factorization 
       methods},
   journal   = laa,
   pages     = {583-599},
   year      = 1991,
   volume    = {154-156}
}


@phdthesis{these,
   author    = {Y. Notay},
   title     = {R\'esolution it\'erative de syst\`emes lin\'eaires par
       factorisations approch\'ees},
   year      = 1991,
   address   = {Brussels, Belgium},
   school    = {Service de M\'etrologie Nucl\'eaire, Universit\'e Libre de 
       Bruxelles}
}


@inproceedings{imacs92,
   author    = {Y. Notay},
   editor    = {R. Beauwens and P. de Groen},
   title     = {Upper eigenvalue bounds and related modified incomplete
       factorization strategies},
   booktitle = {Iterative Methods in Linear Algebra},
   pages     = {551-562},
   year      = 1992,
   publisher = {North-Holland},
   address   = {Amsterdam}
}


@article{robust,
   author    = {Y. Notay},
   title     = {On the robustness of modified incomplete factorization methods},
   journal   = {Int. J. Computer Math.},
   pages     = {121-141},
   year      = 1992,
   volume    = 40
}


@article{spco,
   author    = {Y. Notay},
   title     = {Conditioning of {S}tieltjes matrices by {S/P} consistently 
       ordered approximate factorizations},
   journal   = apnum,
   pages     = {381-396},
   year      = 1992,
   volume    = 10
}


@article{convcg,
   author    = {Y. Notay},
   title     = {On the convergence rate of the conjugate gradients in presence
       of rounding errors},
   journal   = numa,
   pages     = {301-317},
   year      = 1993,
   volume    = 65
}


@inproceedings{newif,
   author    = {Y. Notay},
   editor    = {W. Hackbusch and G. Wittum},
   title     = {A new incomplete factorization method},
   booktitle = {Incomplete Decomposition (ILU) - Algorithms, Theory and Applications},
   pages     = {103-112},
   year      = 1993,
   publisher = {Vieweg},
   address   = {Braunschweig},
   volume    = {41},
   series    = {Notes on Numerical Fluid Mechanics}
}


@techreport{order,
   author    = {Y. Notay},
   title     = {Ordering methods for approximate factorization preconditioning},
   institution = {Universit\'e Libre de Bruxelles},
   year      = 1993,
   address   = {Brussels, Belgium},
   number    = {IT/IF/14-11}
}


@article{benoto,
   author    = {R. Beauwens and Y. Notay and B. Tombuyses},
   title     = {{S/P} images of upper triangular {M}-matrices},
   journal   = nlaa,
   pages     = {19-31},
   year      = 1994,
   volume    = 1
}


@article{dric,
   author    = {Y. Notay},
   title     = {{DRIC}: a dynamic version of the {RIC} method},
   journal   = nlaa,
   pages     = {511-532},
   year      = 1994,
   volume    = 1
}


@techreport{paratheo,
   author    = {Y. Notay},
   title     = {Parallel implementation of preconditioned iterative schemes
       by means of overlapping decomposition},
   institution = {Universit\'{e} Libre de Bruxelles},
   year      = 1995,
   address   = {Brussels, Belgium},
   number    = {GANMN 95--04}
}


@article{solver,
   author    = {Y. Notay},
   title     = {An efficient parallel discrete {PDE} solver},
   journal   = {Parallel Computing},
   pages     = {1725-1748},
   year      = 1995,
   volume    = 21
}


@inproceedings{amcaproc,
   author    = {Y. Notay and Z. {Ould Amar}},
   editor    = {A.S. Alekseev and N.S. Bakhvalov},
   title     = {Incomplete factorization preconditioning may lead to 
       multigrid like speed of  convergence},
   booktitle = {Advanced Mathematics: Computation and Applications},
   pages     = {435-446},
   year      = 1996,
   publisher = {NCC Publisher},
   address   = {Novosibirsk, Russia}
}


@inproceedings{corgrid,
   author    = {Y. Notay and A. {Van de Velde}},
   editor    = {S. Margenov and P. Vassilevski},
   title     = {Coarse-grid acceleration of parallel incomplete factorization
       preconditioners},
   booktitle = {Iterative Methods in Linear Algebra II},
   pages     = {106-130},
   year      = 1996,
   publisher = {IMACS},
   series    = {Series in Computational and Applied Mathematics
       Vol.3}
}


@article{pascal2,
   author    = {P. {Saint-Georges} and G. Warzee and R. Beauwens and Y. Notay},
   title     = {High performance {PCG} solvers for {FEM} structural analyses},
   journal   = ijnme,
   pages     = {1313-1340},
   year      = 1996,
   volume    = 39
}


@inproceedings{pascal3,
   author    = {P. {Saint-Georges} and G. Warzee and Y. Notay and R. Beauwens},
   editor    = {B.H.V. Topping},
   title     = {Fast iterative solvers for finite element analysis
       in general and shell analysis in particular},
   booktitle = {Advances in Finite Element Technology},
   pages     = {273-282},
   year      = 1996,
   publisher = {Civil-Comp Press},
   address   = {Edinburgh}
}


@article{laplace,
   author    = {E.F.F. Botta and K. Dekker and Y. Notay and 
       A. {van der Ploeg} and C. Vuik and F.W. Wubs
       and P.M. de Zeeuw},
   title     = {How fast the Laplace equation was solved in 1995},
   journal   = apnum,
   pages     = {439-455},
   year      = 1997,
   volume    = {24}
}


@article{rrb,
   author    = {Y. Notay and Z. {Ould Amar}},
   title     = {A nearly optimal preconditioning based on recursive red-black
       orderings},
   journal   = nlaa,
   pages     = {369-391},
   year      = 1997,
   volume    = 4
}


@article{apinv,
   author    = {Y. Notay},
   title     = {Using approximate inverses in algebraic multilevel methods},
   journal   = numa,
   pages     = {397-417},
   year      = 1998,
   volume    = 80
}


@article{proj,
   author    = {P. {Saint-Georges} and Y. Notay and G. Warzee},
   title     = {Efficient iterative solution of 
       constrained finite element analyses},
   journal   = cmame,
   pages     = {101-114},
   year      = 1998,
   volume    = 160
}


@article{vcycle,
   author    = {Y. Notay},
   title     = {Optimal {V} cycle algebraic multilevel preconditioning},
   journal   = nlaa,
   pages     = {441-459},
   year      = 1998,
   volume    = 5
}


@article{imbilu,
   author    = {Y. Notay},
   title     = {A multilevel block incomplete factorization preconditioning},
   journal   = apnum,
   pages     = {209-225},
   year      = 1999,
   volume    = 31
}


@article{cdif,
   author    = {Y. Notay},
   title     = {A robust algebraic multilevel 
       preconditioner for non symmetric
       {{\it M}}-matrices},
   journal   = nlaa,
   pages     = {243-267},
   year      = 2000,
   volume    = 7
}


@article{drbilu,
   author    = {M. M. Magolu and Y. Notay},
   title     = {Dynamically relaxed block incomplete factorizations
       for solving two- and three-dimensional problems},
   journal   = sisc,
   pages     = {2008-2028},
   year      = 2000,
   volume    = 21
}


@article{fcg,
   author    = {Y. Notay},
   title     = {Flexible conjugate gradients},
   journal   = sisc,
   pages     = {1444-1460},
   year      = 2000,
   volume    = 22
}


@article{optima,
   author    = {Y. Notay},
   title     = {Optimal order preconditioning of finite difference matrices},
   journal   = sisc,
   pages     = {1991-2007},
   year      = 2000,
   volume    = 21
}


@inproceedings{qcd,
   author    = {Y. Notay},
   editor    = {A. Frommer and T. Lippert and B. Medeke 
       and K. Schilling},
   title     = {On algebraic multilevel preconditioning},
   booktitle = {Numerical Challenges in Lattice Quantum Chromodynamics},
   pages     = {84-98},
   year      = 2000,
   publisher = {Springer-Verlag},
   address   = {Berlin},
   series    = {Lectures Notes in Computational Science and
       Engineering No 15}
}


@article{jdcg,
   author    = {Y. Notay},
   title     = {Combination of {J}acobi-{D}avidson and conjugate gradients for the partial symmetric
       eigenproblem},
   journal   = nlaa,
   pages     = {21-44},
   year      = 2002,
   volume    = 9
}


@article{ropaf,
   author    = {Y. Notay},
   title     = {Robust parameter free algebraic multilevel preconditioning},
   journal   = nlaa,
   pages     = {409-428},
   year      = 2002,
   volume    = 9
}


@article{rqi,
   author    = {Y. Notay},
   title     = {Convergence analysis of inexact {Rayleigh} quotient iteration},
   journal   = simax,
   pages     = {627-644},
   year      = 2003,
   volume    = 24
}


@article{amgaml,
   author    = {Y. Notay},
   title     = {Algebraic multigrid and algebraic multilevel
       methods: a theoretical  comparison},
   journal   = nlaa,
   pages     = {419--451},
   year      = 2005,
   volume    = 12
}


@article{dav,
   author    = {Y. Notay},
   title     = {Is {J}acobi-{D}avidson faster than {D}avidson\,?},
   journal   = simax,
   pages     = {522-543},
   year      = 2005,
   volume    = 26
}

@article{aggaml,
   author    = {Y. Notay},
   title     = {Aggregation-based algebraic multilevel preconditioning},
   journal   = simax,
   pages     = {998--1018},
   year      = 2006,
   volume    = 27
}

@article{hono06,
   author    = {M. E. Hochstenbach and Y. Notay},
   title     = {The {J}acobi--{D}avidson method},
   journal   = gamm,
   pages     = {368--382},
   year      = 2006,
   volume    = 29
}


@article{apmg,
   author    = {Y. Notay},
   title     = {Convergence analysis of perturbed two-grid and multigrid methods},
   journal   = sinum,
   pages     = {1035--1044},
   year      = 2007,
   volume    = 45
}


@article{bolno07,
   author    = {M.~Bollh\"ofer and Y. Notay},
   title     = {{JADAMILU}: a software code for computing  selected eigenvalues of large sparse  symmetric matrices},
   journal   = {Computer Physics Communications},
   pages     = {951--964},
   year      = 2007,
   volume    = 177
}


@article{hono07,
   author    = {Michiel E. Hochstenbach and Notay, Yvan},
   title     = {Homogeneous {J}acobi--{D}avidson},
   journal   = etna,
   pages     = {19--30},
   year      = 2007,
   volume    = 29
}

@techreport{algssc,
   author    = {A. Napov and Y. Notay},
   title     = {Algebraic analysis of {V}-cycle multigrid},
   institution = {Universit\'{e} Libre de Bruxelles},
   year      = {2007 (Revised 2008)},
   address   = {Brussels, Belgium},
   number    = {GANMN 07--01},
   note      = {\url{http://homepages.ulb.ac.be/~ynotay}}
}

@article{nova08,
   author    = {Y. Notay and P. S. Vassilevski},
   title     = {Recursive {K}rylov-based multigrid cycles},
   journal   = nlaa,
   year      = 2008,
   pages     = {473--487},
   volume    = 15
}

@article{muno08,
   author    = {A. C. Muresan and Y. Notay},
   title     = {Analysis of aggregation-based multigrid},
   journal   = sisc,
   pages     = {1082--1103},
   year      = 2008,
   volume    = 30
}

@article{hono09,
   author    = {M. E. Hochstenbach and Y. Notay},
   title     = {Controlling inner iterations in the {J}acobi--{D}avidson method},
   journal   = simax,
   pages     = {460--477},
   year      = 2009,
   volume    = 31
}

@article{nsc,
   author    = {Y. Notay},
   title     = {Algebraic analysis of two-grid methods: the nonsymmetric case},
   journal   = nlaa,
   year      = 2010,
   volume    = 17,
   pages     = {73--97}
}

@article{compvcyc,
   author    = {A. Napov and Y. Notay},
   title     = {Comparison of bounds for {V}-cycle multigrid},
   year      = 2010,
   journal   = apnum,
   volume    = 60,
   pages     = {176-192}
}

@article{tgvcyc,
   author    = {A. Napov and Y. Notay},
   title     = {When does two-grid optimality carry over the {V}-cycle?},
   year      = 2010,
   journal   = nlaa,
   volume    = 17,
   pages     = {273-290}
}

@article{agmg,
   author    = {Y. Notay},
   title     = {An aggregation-based algebraic multigrid method},
   year      = 2010,
   journal   = etna,
   volume    = 37,
   pages     = {123-146}
}

@article{alganalagg,
   author    = {A. Napov and Y. Notay},
   title     = {Algebraic analysis of aggregation-based multigrid},
   year      = 2011,
   volume    = 18,
   journal   = nlaa,
   pages     = {539--564}
}

@techreport{addmult,
   author    = {Y. Notay and A. Napov},
   title     = {Further comparison of additive and multiplicative coarse
                grid correction},
   year      = 2010,
   institution = {Universit\'{e} Libre de Bruxelles},
   address   = {Brussels, Belgium},
   number    = {GANMN 10--01},
   note      = {\url{http://homepages.ulb.ac.be/~ynotay}}
}

@article{smoofac,
   author    = {A. Napov and Y. Notay},
   title     = {Smoothing factor, order of prolongation
 and actual multigrid convergence},
   year      = 2011,
   volume    = 118,
   journal   = numa,
   pages     = {457-483}
}

@article{aggproved,
   author    = {A. Napov and Y. Notay},
   title     = {An algebraic multigrid method with guaranteed convergence rate},
   year      = 2012,
   journal   = sisc,
   note      = {To appear; \url{http://homepages.ulb.ac.be/~ynotay}}
}

@techreport{aggcdif,
   author    = {Y. Notay},
   title     = {Aggregation-based algebraic multigrid for convection-diffusion equations},
   year      = 2011,
   institution = {Universit\'{e} Libre de Bruxelles},
   address   = {Brussels, Belgium},
   number    = {GANMN 11--01},
   note      = {\url{http://homepages.ulb.ac.be/~ynotay}}
}