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## Notay, Yvan

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 Author ID: notay.yvan Published as: Notay, Y.; Notay, Yvan
 Documents Indexed: 60 Publications since 1988
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#### Co-Authors

 33 single-authored 11 Napov, Artem 4 Beauwens, Robert 4 Saint-Georges, Pascal 4 Warzee, Guy 3 Hochstenbach, Michiel E. 1 Amar, Z. O. 1 Bollhöfer, Matthias 1 Botta, Eugen F. F. 1 de Zeeuw, Paul M. 1 Dekker, Kees 1 Gaspar, Francisco José 1 Magolu monga Made, Mardochée 1 Magolu, Monga-Made 1 Muresan, Adrian C. 1 Oosterlee, Cornelis Willebrordus 1 Rodrigo, Carmen 1 Tombuyses, B. 1 Valkenberg, R. 1 van der Ploeg, Auke 1 Vandewalle, Stefan G. 1 Vassilevski, Panayot Spirov 1 Vuik, Cornelis 1 Wubs, Fred W.
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#### Serials

 12 Numerical Linear Algebra with Applications 10 SIAM Journal on Scientific Computing 7 SIAM Journal on Matrix Analysis and Applications 5 Applied Numerical Mathematics 4 Numerische Mathematik 3 ETNA. Electronic Transactions on Numerical Analysis 2 Linear Algebra and its Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Computers and Structures 1 Journal of Computational Physics 1 Mathematics of Computation 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 International Journal of Computer Mathematics 1 Computing and Visualization in Science 1 GAMM-Mitteilungen
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#### Fields

 59 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX)

#### Citations contained in zbMATH

56 Publications have been cited 651 times in 368 Documents Cited by Year
An aggregation-based algebraic multigrid method. Zbl 1206.65133
Notay, Yvan
2010
An algebraic multigrid method with guaranteed convergence rate. Zbl 1248.65037
Napov, Artem; Notay, Yvan
2012
Notay, Yvan
2000
Aggregation-based algebraic multigrid for convection-diffusion equations. Zbl 1250.76139
Notay, Yvan
2012
Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516
Notay, Y.
2002
A new analysis of block preconditioners for saddle point problems. Zbl 1297.65034
Notay, Yvan
2014
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
2008
High-performance PCG solvers for FEM structural analysis. Zbl 0886.73071
Saint-Georges, P.; Warzee, G.; Beauwens, R.; Notay, Y.
1996
Convergence analysis of inexact Rayleigh quotient iteration. Zbl 1045.65032
Notay, Yvan
2003
Algebraic analysis of two-grid methods: the nonsymmetric case. Zbl 1240.65358
Notay, Yvan
2010
DRIC: A dynamic version of the RIC method. Zbl 0839.65030
Notay, Yvan
1994
On the convergence rate of the conjugate gradients in presence of rounding errors. Zbl 0791.65016
Notay, Yvan
1993
Algebraic analysis of aggregation-based multigrid. Zbl 1249.65270
Napov, Artem; Notay, Yvan
2011
Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032
Hochstenbach, Michiel E.; Notay, Yvan
2009
Algebraic multigrid and algebraic multilevel methods: a theoretical comparison. Zbl 1164.65356
Notay, Y.
2005
A massively parallel solver for discrete Poisson-like problems. Zbl 1352.65454
Notay, Yvan; Napov, Artem
2015
Analysis of aggregation-based multigrid. Zbl 1163.65092
2008
Aggregation-based algebraic multilevel preconditioning. Zbl 1102.65053
Notay, Yvan
2006
The Jacobi-Davidson method. Zbl 1177.65055
Hochstenbach, M. E.; Notay, Y.
2006
JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices. Zbl 1196.65072
Bollhöfer, Matthias; Notay, Yvan
2007
Using approximate inverses in algebraic multilevel methods. Zbl 0911.65027
Notay, Y.
1998
Upper eigenvalue bounds and related modified incomplete factorization strategies. Zbl 0785.65035
Notay, Y.
1992
Conditioning analysis of modified block incomplete factorizations. Zbl 0735.65028
Notay, Yvan
1991
Incomplete factorizations of singular linear systems. Zbl 0687.65028
Notay, Yvan
1989
A simple and efficient segregated smoother for the discrete Stokes equations. Zbl 1299.76171
Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen
2014
A robust algebraic multilevel preconditioner for non-symmetric $$M$$-matrices. Zbl 1051.65058
Notay, Yvan
2000
Solving positive (semi)definite linear systems by preconditioned iterative methods. Zbl 0722.65012
Notay, Y.
1990
Polynomial acceleration of iterative schemes associated with subproper splittings. Zbl 0659.65027
Notay, Yvan
1988
Problem-dependent preconditioners for iterative solvers in FE elastostatics. Zbl 1048.74591
Saint-Georges, Pascal; Warzee, Guy; Notay, Yvan; Beauwens, Robert
1999
Is Jacobi-Davidson faster than Davidson? Zbl 1078.65032
Notay, Yvan
2005
Robust parameter-free algebraic multilevel preconditioning. Zbl 1071.65536
Notay, Y.
2002
Optimal order preconditioning of finite difference matrices. Zbl 0959.65064
Notay, Yvan
2000
How fast the Laplace equation was solved in 1995. Zbl 0891.65112
Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M.
1997
On the conditioning analysis of block approximate factorization methods. Zbl 0780.65028
1991
An efficient multigrid method for graph Laplacian systems. Zbl 1347.65059
Napov, Artem; Notay, Yvan
2016
Algebraic multigrid for moderate order finite elements. Zbl 1303.65014
Napov, Artem; Notay, Yvan
2014
Smoothing factor, order of prolongation and actual multigrid convergence. Zbl 1227.65122
Napov, Artem; Notay, Yvan
2011
Comparison of bounds for V-cycle multigrid. Zbl 1192.65151
Napov, Artem; Notay, Yvan
2010
A multilevel block incomplete factorization preconditioning. Zbl 0960.65053
Notay, Y.
1999
Optimal V-cycle algebraic multilevel preconditioning. Zbl 0969.65025
Notay, Yvan
1998
Algebraic two-level convergence theory for singular systems. Zbl 1348.65065
Notay, Yvan
2016
Further comparison of additive and multiplicative coarse grid correction. Zbl 1271.65052
Notay, Yvan; Napov, Artem
2013
When does two-grid optimality carry over to the V-cycle? Zbl 1240.65357
Napov, Artem; Notay, Yvan
2010
An efficient multigrid method for graph Laplacian systems. II: Robust aggregation. Zbl 1392.65037
Napov, Artem; Notay, Yvan
2017
Convergence analysis of perturbed two-grid and multigrid methods. Zbl 1145.65024
Notay, Yvan
2007
A nearly optimal preconditioning based on recursive red-black orderings. Zbl 0890.65041
Notay, Y.; Amar, Z. O.
1997
Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations. Zbl 0756.65049
Notay, Yvan
1992
Analysis of two-grid methods: the nonnormal case. Zbl 1427.65037
Notay, Yvan
2020
Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems. Zbl 0959.65065
2000
$$S/P$$ images of upper triangular $$M$$-matrices. Zbl 0813.65071
Beauwens, R.; Notay, Y.; Tombuyses, B.
1994
Convergence of some iterative methods for symmetric saddle point linear systems. Zbl 1406.65018
Notay, Yvan
2019
A new algebraic multigrid approach for Stokes problems. Zbl 1338.76099
Notay, Yvan
2016
Homogeneous Jacobi-Davidson. Zbl 1171.65377
Hochstenbach, Michiel E.; Notay, Yvan
2007
Parallel iterative solution of 3D elasticity equations. Zbl 0951.74595
Valkenberg, R.; Warzée, G.; Saint-Georges, P.; Beauwens, R.; Notay, Y.
1997
A new approximate factorization method. Zbl 0790.65023
Notay, Yvan
1993
On the robustness of modified incomplete factorization methods. Zbl 0766.65032
Notay, Y.
1992
Analysis of two-grid methods: the nonnormal case. Zbl 1427.65037
Notay, Yvan
2020
Convergence of some iterative methods for symmetric saddle point linear systems. Zbl 1406.65018
Notay, Yvan
2019
An efficient multigrid method for graph Laplacian systems. II: Robust aggregation. Zbl 1392.65037
Napov, Artem; Notay, Yvan
2017
An efficient multigrid method for graph Laplacian systems. Zbl 1347.65059
Napov, Artem; Notay, Yvan
2016
Algebraic two-level convergence theory for singular systems. Zbl 1348.65065
Notay, Yvan
2016
A new algebraic multigrid approach for Stokes problems. Zbl 1338.76099
Notay, Yvan
2016
A massively parallel solver for discrete Poisson-like problems. Zbl 1352.65454
Notay, Yvan; Napov, Artem
2015
A new analysis of block preconditioners for saddle point problems. Zbl 1297.65034
Notay, Yvan
2014
A simple and efficient segregated smoother for the discrete Stokes equations. Zbl 1299.76171
Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen
2014
Algebraic multigrid for moderate order finite elements. Zbl 1303.65014
Napov, Artem; Notay, Yvan
2014
Further comparison of additive and multiplicative coarse grid correction. Zbl 1271.65052
Notay, Yvan; Napov, Artem
2013
An algebraic multigrid method with guaranteed convergence rate. Zbl 1248.65037
Napov, Artem; Notay, Yvan
2012
Aggregation-based algebraic multigrid for convection-diffusion equations. Zbl 1250.76139
Notay, Yvan
2012
Algebraic analysis of aggregation-based multigrid. Zbl 1249.65270
Napov, Artem; Notay, Yvan
2011
Smoothing factor, order of prolongation and actual multigrid convergence. Zbl 1227.65122
Napov, Artem; Notay, Yvan
2011
An aggregation-based algebraic multigrid method. Zbl 1206.65133
Notay, Yvan
2010
Algebraic analysis of two-grid methods: the nonsymmetric case. Zbl 1240.65358
Notay, Yvan
2010
Comparison of bounds for V-cycle multigrid. Zbl 1192.65151
Napov, Artem; Notay, Yvan
2010
When does two-grid optimality carry over to the V-cycle? Zbl 1240.65357
Napov, Artem; Notay, Yvan
2010
Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032
Hochstenbach, Michiel E.; Notay, Yvan
2009
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
2008
Analysis of aggregation-based multigrid. Zbl 1163.65092
2008
JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices. Zbl 1196.65072
Bollhöfer, Matthias; Notay, Yvan
2007
Convergence analysis of perturbed two-grid and multigrid methods. Zbl 1145.65024
Notay, Yvan
2007
Homogeneous Jacobi-Davidson. Zbl 1171.65377
Hochstenbach, Michiel E.; Notay, Yvan
2007
Aggregation-based algebraic multilevel preconditioning. Zbl 1102.65053
Notay, Yvan
2006
The Jacobi-Davidson method. Zbl 1177.65055
Hochstenbach, M. E.; Notay, Y.
2006
Algebraic multigrid and algebraic multilevel methods: a theoretical comparison. Zbl 1164.65356
Notay, Y.
2005
Is Jacobi-Davidson faster than Davidson? Zbl 1078.65032
Notay, Yvan
2005
Convergence analysis of inexact Rayleigh quotient iteration. Zbl 1045.65032
Notay, Yvan
2003
Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516
Notay, Y.
2002
Robust parameter-free algebraic multilevel preconditioning. Zbl 1071.65536
Notay, Y.
2002
Notay, Yvan
2000
A robust algebraic multilevel preconditioner for non-symmetric $$M$$-matrices. Zbl 1051.65058
Notay, Yvan
2000
Optimal order preconditioning of finite difference matrices. Zbl 0959.65064
Notay, Yvan
2000
Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems. Zbl 0959.65065
2000
Problem-dependent preconditioners for iterative solvers in FE elastostatics. Zbl 1048.74591
Saint-Georges, Pascal; Warzee, Guy; Notay, Yvan; Beauwens, Robert
1999
A multilevel block incomplete factorization preconditioning. Zbl 0960.65053
Notay, Y.
1999
Using approximate inverses in algebraic multilevel methods. Zbl 0911.65027
Notay, Y.
1998
Optimal V-cycle algebraic multilevel preconditioning. Zbl 0969.65025
Notay, Yvan
1998
How fast the Laplace equation was solved in 1995. Zbl 0891.65112
Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M.
1997
A nearly optimal preconditioning based on recursive red-black orderings. Zbl 0890.65041
Notay, Y.; Amar, Z. O.
1997
Parallel iterative solution of 3D elasticity equations. Zbl 0951.74595
Valkenberg, R.; Warzée, G.; Saint-Georges, P.; Beauwens, R.; Notay, Y.
1997
High-performance PCG solvers for FEM structural analysis. Zbl 0886.73071
Saint-Georges, P.; Warzee, G.; Beauwens, R.; Notay, Y.
1996
DRIC: A dynamic version of the RIC method. Zbl 0839.65030
Notay, Yvan
1994
$$S/P$$ images of upper triangular $$M$$-matrices. Zbl 0813.65071
Beauwens, R.; Notay, Y.; Tombuyses, B.
1994
On the convergence rate of the conjugate gradients in presence of rounding errors. Zbl 0791.65016
Notay, Yvan
1993
A new approximate factorization method. Zbl 0790.65023
Notay, Yvan
1993
Upper eigenvalue bounds and related modified incomplete factorization strategies. Zbl 0785.65035
Notay, Y.
1992
Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations. Zbl 0756.65049
Notay, Yvan
1992
On the robustness of modified incomplete factorization methods. Zbl 0766.65032
Notay, Y.
1992
Conditioning analysis of modified block incomplete factorizations. Zbl 0735.65028
Notay, Yvan
1991
On the conditioning analysis of block approximate factorization methods. Zbl 0780.65028
1991
Solving positive (semi)definite linear systems by preconditioned iterative methods. Zbl 0722.65012
Notay, Y.
1990
Incomplete factorizations of singular linear systems. Zbl 0687.65028
Notay, Yvan
1989
Polynomial acceleration of iterative schemes associated with subproper splittings. Zbl 0659.65027
Notay, Yvan
1988
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#### Cited by 594 Authors

 24 Notay, Yvan 17 Axelsson, Axel Owe Holger 11 Kraus, Johannes K. 11 Liang, Zhao-Zheng 9 Napov, Artem 8 Zhang, Guofeng 7 Ferronato, Massimiliano 7 Janna, Carlo 7 Margenov, Svetozar D. 7 Saad, Yousef 6 Donatelli, Marco 6 Gambolati, Giuseppe 6 Jia, Zhongxiao 6 Neytcheva, Maya G. 6 Pearson, John W. 6 Pini, Giorgio 6 Serra-Capizzano, Stefano 5 Beauwens, Robert 5 Bergamaschi, Luca 5 Gravvanis, George A. 5 MacLachlan, Scott P. 5 Manteuffel, Thomas A. 5 Miao, Cun-Qiang 5 Simoncini, Valeria 5 Vuik, Cornelis 5 Walker, Shawn W. 4 Gaspar, Francisco José 4 Georgiev, Ivan 4 Luo, Peiyao 4 Magolu, Monga-Made 4 Martínez, Ángeles 4 Oosterlee, Cornelis Willebrordus 4 Rüde, Ulrich 4 Southworth, Ben S. 4 Wohlmuth, Barbara I. 3 Aishima, Kensuke 3 Bai, Zhongzhi 3 Emans, Maximilian 3 Gee, Michael W. 3 Gratton, Serge 3 Guessous, Najib 3 Huang, Ting-Zhu 3 Li, Ruipeng 3 Lymbery, Maria 3 Magolu monga Made, Mardochée 3 Min, Chohong 3 Neymeyr, Klaus 3 Rodrigo, Carmen 3 Romero, Eloy 3 Souhar, O. 3 Strakoš, Zdeněk 3 Szyld, Daniel B. 3 Van der Vorst, Henk Albertus 3 Vasseur, Xavier 3 Vassilevski, Panayot Spirov 3 Wall, Wolfgang A. 3 Xi, Yuanzhe 3 Xue, Fei 3 Ye, Qiang 3 Zikatanov, Ludmil T. 2 Abdulle, Assyr 2 Abide, Stéphane 2 Arany, Ilona 2 Bertolazzi, Enrico 2 Bollhöfer, Matthias 2 Botta, Eugen F. F. 2 Budáč, Ondrej 2 D’Ambra, Pasqua 2 Dehghan Takht Fooladi, Mehdi 2 Dell’Acqua, Pietro 2 Dongarra, Jack J. 2 El Maliki, Abderrahman 2 Filelis-Papadopoulos, Christos K. 2 Fortin, Michel 2 Frangioni, Antonio 2 Gandham, Rajesh 2 Gazzola, Silvia 2 Giannoutakis, Konstantinos M. 2 Giraud, Luc 2 Gondzio, Jacek 2 Greif, Chen 2 Grigori, Laura 2 Gustafsson, Ivar 2 Haber, Eldad 2 Hochstenbach, Michiel E. 2 Huber, Markus Q. 2 Kahl, Karsten 2 Kaporin, Igor E. 2 Kozelkov, Andreǐ Sergeevich 2 Ku, Jaeun 2 Kublanovskaya, Vera Nikolaevna 2 Lashkin, Sergey Victorovich 2 Li, Cen 2 Li, Xiaoye Sherry 2 Lie, Knut-Andreas 2 Liu, Xin 2 Milyukova, Olga Yu. 2 Moghaderi, Hamid 2 Moutafis, Byron E. 2 Nabben, Reinhard ...and 494 more Authors
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#### Cited in 77 Serials

 43 SIAM Journal on Scientific Computing 36 Numerical Linear Algebra with Applications 33 Journal of Computational and Applied Mathematics 25 Journal of Computational Physics 17 Computers & Mathematics with Applications 16 Linear Algebra and its Applications 15 Applied Numerical Mathematics 14 International Journal for Numerical Methods in Engineering 9 Computer Methods in Applied Mechanics and Engineering 9 BIT 9 SIAM Journal on Matrix Analysis and Applications 9 Numerical Algorithms 8 Numerische Mathematik 6 Journal of Scientific Computing 5 Computers and Fluids 5 Mathematics and Computers in Simulation 5 SIAM Journal on Numerical Analysis 5 Computational and Applied Mathematics 5 Computational Geosciences 4 Applied Mathematics and Computation 4 Journal of Mathematical Sciences (New York) 3 Mathematics of Computation 3 Calcolo 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics and Computing 3 International Journal of Computational Methods 3 Science China. Mathematics 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 International Journal for Numerical Methods in Fluids 2 Computational Mechanics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Computing and Visualization in Science 2 Optimization Methods & Software 2 Differential Equations 2 Archives of Computational Methods in Engineering 2 Journal of Numerical Mathematics 2 Acta Numerica 2 East Asian Journal on Applied Mathematics 1 Computer Physics Communications 1 Discrete Mathematics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Reports 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 Computing 1 Information Sciences 1 Parallel Computing 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 SIAM Journal on Optimization 1 Advances in Engineering Software 1 Communications in Numerical Methods in Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Inequalities and Applications 1 Engineering Computations 1 Optimization and Engineering 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Inverse Problems and Imaging 1 Journal of Electrical and Computer Engineering 1 International Journal for Numerical Methods in Biomedical Engineering 1 Numerical Algebra, Control and Optimization 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Applied Mathematics
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#### Cited in 31 Fields

 328 Numerical analysis (65-XX) 68 Partial differential equations (35-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 45 Fluid mechanics (76-XX) 27 Mechanics of deformable solids (74-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Geophysics (86-XX) 8 Operations research, mathematical programming (90-XX) 6 Combinatorics (05-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)