List of publications

In reverse chronological order. The corresponding Bibtex file can be downloaded here (for journals definition: see here). Reprints can be obtained upon request.
Y. Notay,
Aggregation-based algebraic multigrid for convection-diffusion equations,
Report GANMN 11-01, Université Libre de Bruxelles, Brussels, Belgium, 2011.
[ pdf ]
A. Napov and Y. Notay,
An algebraic multigrid method with guaranteed convergence rate,
SIAM J. Sci. Comput., to appear, 2012. [ pdf ]
Y. Notay and A. Napov,
Further comparison of additive and multiplicative coarse grid correction,
Report GANMN 10-01, Université Libre de Bruxelles, Brussels, Belgium, 2010.
[ pdf ]
A. Napov and Y. Notay,
Smoothing factor, order of prolongation and actual multigrid convergence,
Numer. Math.,vol 18, pp. 457-483, 2011. [ pdf ]
A. Napov and Y. Notay,
Algebraic analysis of aggregation-based multigrid,
Numer. Lin. Alg. Appl., vol 18, pp. 539-564, 2011. [ pdf ]
Y. Notay,
An aggregation-based algebraic multigrid method,
Electronic Transactions on Numerical Analysis, vol. 37, pp. 123-146, 2010. [ pdf ]
A. Napov and Y. Notay,
When does two-grid optimality carry over the V-cycle?,
Numer. Lin. Alg. Appl., vol. 17, pp. 273-290, 2010. [ pdf ]
A. Napov and Y. Notay,
Comparison of bounds for V-cycle multigrid,
Appl. Numer. Math., vol. 60, pp. 176-192, 2010. [ pdf ]
Y. Notay,
Algebraic analysis of two-grid methods: the nonsymmetric case,
Numer. Lin. Alg. Appl., vol. 17, pp. 73-96, 2010. [ pdf ]
M. E. Hochstenbach and Y. Notay,
Controlling inner iterations in the Jacobi-Davidson method,
SIAM J. Matrix Anal. Appl., vol. 31, pp. 460-477, 2009. [ pdf ]
A. C. Muresan and Y. Notay,
Analysis of aggregation-based multigrid,
SIAM J. Sci. Comput., vol. 30, pp. 1082-1103, 2008. [ pdf ]
Y. Notay and P.S. Vassilevski,
Recursive Krylov-based multigrid cycles,
Numer. Lin. Alg. Appl., vol. 15, pp. 473-487, 2008. [ pdf ]
A. Napov and Y. Notay,
Algebraic analysis of V-cycle multigrid,
Report GANMN 07-01, Université Libre de Bruxelles, Brussels, Belgium, 2007 (Revised 2008).
[ pdf ]
M. E. Hochstenbach and Y. Notay,
Homogeneous Jacobi-Davidson,
Electronic Transactions on Numerical Analysis, vol. 29, pp. 19-30, 2007. [ pdf ]
M. Bollhoefer and Y. Notay,
JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices,
Computer Physics Communications, vol. 177, pp. 951-964, 2007. [ pdf ]
Y. Notay,
Convergence analysis of perturbed two-grid and multigrid methods,
SIAM J. Numer. Anal., vol. 45, pp. 1035-1044, 2007. [ pdf ]
M. E. Hochstenbach and Y. Notay,
The Jacobi-Davidson method,
GAMM-Mitteilungen, vol. 29, pp. 368-382, 2006. [ pdf ]
Y. Notay,
Aggregation-based algebraic multilevel preconditioning,
SIAM J. Matrix Anal. Appl., vol. 27, pp. 998-1018, 2006. [ pdf ]
Y. Notay,
Algebraic multigrid and algebraic multilevel methods: a theoretical comparison,
Numer. Lin. Alg. Appl., vol. 12, pp. 419-451, 2005. [ pdf ]
Y. Notay,
Is Jacobi-Davidson faster than Davidson ?,
SIAM J. Matrix Anal. Appl., vol 26, pp. 522-543, 2005. [ pdf ]
Y. Notay,
Convergence analysis of inexact Rayleigh quotient iteration,
SIAM J. Matrix Anal. Appl., vol. 24, pp. 627-644, 2003. [ pdf ]
Y. Notay,
Robust parameter free algebraic multilevel preconditioning,
Numer. Lin. Alg. Appl., vol. 9, pp. 409-428, 2002. [ pdf ]
Y. Notay,
Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem,
Numer. Lin. Alg. Appl., vol. 9, pp. 21-44, 2002. [ pdf ]
Y. Notay,
Flexible conjugate gradients,
SIAM J. Sci. Comput., vol. 22, pp. 1444-1460, 2000. [ pdf ]
Y. Notay,
On algebraic multilevel preconditioning,
in Numerical Challenges in Lattice Quantum Chromodynamics (A. Frommer, T. Lippert, B. Medeke and K. Schilling, eds.), pp. 84-98, Lectures Notes in Computational Science and Engineering No 15, Springer-Verlag, Berlin, 2000.
Y. Notay,
A robust algebraic multilevel preconditioner for non symmetric M-matrices,
Num. Lin. Alg. Appl., vol. 7, pp. 243-267, 2000. [ pdf ]
Magolu monga-Made and Y. Notay,
Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems,
SIAM J. Sci. Comput., vol. 21, pp. 2008-2028, 2000. [ pdf ]
Y. Notay,
Optimal order preconditioning of finite difference matrices,
SIAM J. Sci. Comput., vol. 21, pp. 1991-2007, 2000. [ pdf ]
Y. Notay,
A multilevel block incomplete factorization preconditioning,
Appl. Numer. Math., vol. 31, pp. 209-225, 1999. [ pdf ]
Y. Notay,
Optimal V cycle algebraic multilevel preconditioning,
Num. Lin. Alg. Appl., vol. 5, pp. 441-459, 1998. [ pdf ]
P. Saint-Georges, Y. Notay and G. Warzee,
Efficient iterative solution of constrained finite element analyses,
Comput. Meth. Appl. Mech. Eng., vol. 160, pp. 101-114, 1998. [ pdf ]
Y. Notay,
Using approximate inverses in algebraic multilevel methods,
Numer. Math., vol. 80, pp. 397-417, 1998. [ pdf ]
E.F.F. Botta, K. Dekker, Y. Notay, A. van der Ploeg, C. Vuik, F.W. Wubs and P.M. de Zeeuw,
How fast the Laplace equation was solved in 1995,
Appl. Numer. Math., vol. 24, pp. 439-455, 1997. [ pdf ]
Y. Notay and Z. Ould Amar,
A nearly optimal preconditioning based on recursive red-black orderings,
Num. Lin. Alg. Appl., vol. 4, pp. 369-391, 1997. [ pdf ]
P. Saint-Georges, G. Warzee, Y. Notay, and R. Beauwens,
Fast iterative solvers for finite element analysis in general and shell analysis in particular,
in Advances in Finite Element Technology (B. Topping, ed.), pp. 273-282, Civil-Comp Press, Edinburgh,1996.
P. Saint-Georges, R. Beauwens, G. Warzee, and Y. Notay,
High performance PCG solvers for FEM structural analyses.
Int. Journ. for Numerical Methods in Engineering, vol. 39, pp. 1313-1340 1996. [ pdf ]
Y. Notay and Z. Ould Amar,
Incomplete factorization preconditioning may lead to multigrid like speed of convergence,
in Advanced Mathematics: Computation and Applications (A.S. Alekseev and N.S. Bakhvalov, eds.), pp. 435-446, NCC Publisher, Novosibirsk, Russia, 1996.
Y. Notay and A. Van de Velde,
Coarse grid acceleration of parallel incomplete preconditioners,
in Iterative Methods in Linear Algebra II (S. Margenov and P. Vassilevski, eds.), pp. 106-130, Series in Computational and Applied Mathematics Vol. 3, IMACS, 1996. [ pdf ]
Y. Notay,
Parallel implementation of preconditioned iterative schemes by means of overlapping decomposition,
Report GANMN 95-04, Université Libre de Bruxelles, Brussels, Belgium, 1995. [ pdf ]
Y. Notay,
An efficient parallel discrete PDE solver,
Parallel Computing, vol. 21, pp. 1725-1748, 1995. [ pdf ]
Y. Notay,
DRIC: a dynamic version of the RIC method,
Num. Lin. Alg. Appl., vol. 1, pp. 511-532, 1994. [ pdf ]
R. Beauwens, Y. Notay , and B. Tombuyses,
S/P images of upper triangular M-matrices,
Num. Lin. Alg. Appl., vol. 1, no. 1, pp. 19-31, 1994.
Y. Notay,
On the convergence rate of the conjugate gradients in presence of rounding errors,
Numer. Math., vol. 65, pp. 301-317, 1993. [ pdf ]
Y. Notay,
A new incomplete factorization method,
in Incomplete Decomposition (ILU) - Algorithms, Theory and applications (W Hackbusch and G. Wittum, eds.), pp. 103-112, NNFM vol. 41, Vieweg, Braunschweig, 1993.
Y. Notay,
Ordering methods for approximate factorization preconditioning,
Report IT/IF/14-11, Université Libre de Bruxelles, Brussels, Belgium, 1993. [ pdf ]
Y. Notay,
Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations,
Appl. Numer. Math., vol. 10, pp. 381-396, 1992.
Y. Notay,
On the robustness of modified incomplete factorization methods,
Inter. J. Computer Math., vol. 40, pp. 121-141, 1992. [ pdf ]
Y. Notay,
Upper eigenvalue bounds and related modified incomplete factorization strategies,
in Iterative Methods in Linear Algebra (R. Beauwens and P. de Groen, eds.), pp. 551-562, North-Holland, Amsterdam, 1992. [ pdf ]
Y. Notay,
Conditioning analysis of modified block incomplete factorizations,
Lin. Alg. Appl., vol. 154-156, pp. 711-722, 1991. [ pdf ]
M. M. Magolu and Y. Notay,
On the conditioning analysis of block approximate factorization methods,
Lin. Alg. Appl., vol. 154-156, pp. 583-599, 1991. [ pdf ]
Y. Notay,
Solving positive (semi)definite linear systems by preconditioned iterative methods,
in Preconditioned Conjugate Gradient Methods (O. Axelsson and L. Kolotilina, eds.), pp. 105-125, Lectures Notes in Mathematics No. 1457, Springer-Verlag, Berlin, 1990. [ pdf ]
Y. Notay,
Incomplete factorization of singular linear systems,
BIT, vol. 29, pp. 682-702, 1989. [ pdf ]
Y. Notay,
Polynomial acceleration of iterative schemes associated with subproper splittings,
J. Comput. Appl. Math., vol. 24, pp. 153-167, 1988. [ pdf ]