Edit Profile Notay, Yvan Compute Distance To: Compute Author ID: notay.yvan Published as: Notay, Y.; Notay, Yvan Documents Indexed: 60 Publications since 1988 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 56 Publications have been cited 651 times in 368 Documents Cited by ▼ Year ▼ An aggregation-based algebraic multigrid method. Zbl 1206.65133Notay, Yvan 79 2010 An algebraic multigrid method with guaranteed convergence rate. Zbl 1248.65037Napov, Artem; Notay, Yvan 52 2012 Flexible conjugate gradients. Zbl 0980.65030Notay, Yvan 42 2000 Aggregation-based algebraic multigrid for convection-diffusion equations. Zbl 1250.76139Notay, Yvan 40 2012 Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516Notay, Y. 35 2002 A new analysis of block preconditioners for saddle point problems. Zbl 1297.65034Notay, Yvan 24 2014 Recursive Krylov-based multigrid cycles. Zbl 1212.65132Notay, Y.; Vassilevski, P. S. 23 2008 High-performance PCG solvers for FEM structural analysis. Zbl 0886.73071Saint-Georges, P.; Warzee, G.; Beauwens, R.; Notay, Y. 20 1996 Convergence analysis of inexact Rayleigh quotient iteration. Zbl 1045.65032Notay, Yvan 19 2003 Algebraic analysis of two-grid methods: the nonsymmetric case. Zbl 1240.65358Notay, Yvan 18 2010 DRIC: A dynamic version of the RIC method. Zbl 0839.65030Notay, Yvan 17 1994 On the convergence rate of the conjugate gradients in presence of rounding errors. Zbl 0791.65016Notay, Yvan 17 1993 Algebraic analysis of aggregation-based multigrid. Zbl 1249.65270Napov, Artem; Notay, Yvan 15 2011 Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032Hochstenbach, Michiel E.; Notay, Yvan 14 2009 Algebraic multigrid and algebraic multilevel methods: a theoretical comparison. Zbl 1164.65356Notay, Y. 13 2005 A massively parallel solver for discrete Poisson-like problems. Zbl 1352.65454Notay, Yvan; Napov, Artem 11 2015 Analysis of aggregation-based multigrid. Zbl 1163.65092Muresan, Adrian C.; Notay, Yvan 11 2008 Aggregation-based algebraic multilevel preconditioning. Zbl 1102.65053Notay, Yvan 11 2006 The Jacobi-Davidson method. Zbl 1177.65055Hochstenbach, M. E.; Notay, Y. 10 2006 JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices. Zbl 1196.65072Bollhöfer, Matthias; Notay, Yvan 9 2007 Using approximate inverses in algebraic multilevel methods. Zbl 0911.65027Notay, Y. 9 1998 Upper eigenvalue bounds and related modified incomplete factorization strategies. Zbl 0785.65035Notay, Y. 9 1992 Conditioning analysis of modified block incomplete factorizations. Zbl 0735.65028Notay, Yvan 9 1991 Incomplete factorizations of singular linear systems. Zbl 0687.65028Notay, Yvan 9 1989 A simple and efficient segregated smoother for the discrete Stokes equations. Zbl 1299.76171Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen 8 2014 A robust algebraic multilevel preconditioner for non-symmetric \(M\)-matrices. Zbl 1051.65058Notay, Yvan 8 2000 Solving positive (semi)definite linear systems by preconditioned iterative methods. Zbl 0722.65012Notay, Y. 8 1990 Polynomial acceleration of iterative schemes associated with subproper splittings. Zbl 0659.65027Notay, Yvan 8 1988 Problem-dependent preconditioners for iterative solvers in FE elastostatics. Zbl 1048.74591Saint-Georges, Pascal; Warzee, Guy; Notay, Yvan; Beauwens, Robert 7 1999 Is Jacobi-Davidson faster than Davidson? Zbl 1078.65032Notay, Yvan 6 2005 Robust parameter-free algebraic multilevel preconditioning. Zbl 1071.65536Notay, Y. 6 2002 Optimal order preconditioning of finite difference matrices. Zbl 0959.65064Notay, Yvan 6 2000 How fast the Laplace equation was solved in 1995. Zbl 0891.65112Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M. 6 1997 On the conditioning analysis of block approximate factorization methods. Zbl 0780.65028Magolu, Monga-Made; Notay, Yvan 6 1991 An efficient multigrid method for graph Laplacian systems. Zbl 1347.65059Napov, Artem; Notay, Yvan 5 2016 Algebraic multigrid for moderate order finite elements. Zbl 1303.65014Napov, Artem; Notay, Yvan 5 2014 Smoothing factor, order of prolongation and actual multigrid convergence. Zbl 1227.65122Napov, Artem; Notay, Yvan 5 2011 Comparison of bounds for V-cycle multigrid. Zbl 1192.65151Napov, Artem; Notay, Yvan 5 2010 A multilevel block incomplete factorization preconditioning. Zbl 0960.65053Notay, Y. 5 1999 Optimal V-cycle algebraic multilevel preconditioning. Zbl 0969.65025Notay, Yvan 5 1998 Algebraic two-level convergence theory for singular systems. Zbl 1348.65065Notay, Yvan 4 2016 Further comparison of additive and multiplicative coarse grid correction. Zbl 1271.65052Notay, Yvan; Napov, Artem 4 2013 When does two-grid optimality carry over to the V-cycle? Zbl 1240.65357Napov, Artem; Notay, Yvan 4 2010 An efficient multigrid method for graph Laplacian systems. II: Robust aggregation. Zbl 1392.65037Napov, Artem; Notay, Yvan 3 2017 Convergence analysis of perturbed two-grid and multigrid methods. Zbl 1145.65024Notay, Yvan 3 2007 A nearly optimal preconditioning based on recursive red-black orderings. Zbl 0890.65041Notay, Y.; Amar, Z. O. 3 1997 Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations. Zbl 0756.65049Notay, Yvan 3 1992 Analysis of two-grid methods: the nonnormal case. Zbl 1427.65037Notay, Yvan 2 2020 Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems. Zbl 0959.65065Monga-Made, Mardochée Magolu; Notay, Yvan 2 2000 \(S/P\) images of upper triangular \(M\)-matrices. Zbl 0813.65071Beauwens, R.; Notay, Y.; Tombuyses, B. 2 1994 Convergence of some iterative methods for symmetric saddle point linear systems. Zbl 1406.65018Notay, Yvan 1 2019 A new algebraic multigrid approach for Stokes problems. Zbl 1338.76099Notay, Yvan 1 2016 Homogeneous Jacobi-Davidson. Zbl 1171.65377Hochstenbach, Michiel E.; Notay, Yvan 1 2007 Parallel iterative solution of 3D elasticity equations. Zbl 0951.74595Valkenberg, R.; Warzée, G.; Saint-Georges, P.; Beauwens, R.; Notay, Y. 1 1997 A new approximate factorization method. Zbl 0790.65023Notay, Yvan 1 1993 On the robustness of modified incomplete factorization methods. Zbl 0766.65032Notay, Y. 1 1992 Analysis of two-grid methods: the nonnormal case. Zbl 1427.65037Notay, Yvan 2 2020 Convergence of some iterative methods for symmetric saddle point linear systems. Zbl 1406.65018Notay, Yvan 1 2019 An efficient multigrid method for graph Laplacian systems. II: Robust aggregation. Zbl 1392.65037Napov, Artem; Notay, Yvan 3 2017 An efficient multigrid method for graph Laplacian systems. Zbl 1347.65059Napov, Artem; Notay, Yvan 5 2016 Algebraic two-level convergence theory for singular systems. Zbl 1348.65065Notay, Yvan 4 2016 A new algebraic multigrid approach for Stokes problems. Zbl 1338.76099Notay, Yvan 1 2016 A massively parallel solver for discrete Poisson-like problems. Zbl 1352.65454Notay, Yvan; Napov, Artem 11 2015 A new analysis of block preconditioners for saddle point problems. Zbl 1297.65034Notay, Yvan 24 2014 A simple and efficient segregated smoother for the discrete Stokes equations. Zbl 1299.76171Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen 8 2014 Algebraic multigrid for moderate order finite elements. Zbl 1303.65014Napov, Artem; Notay, Yvan 5 2014 Further comparison of additive and multiplicative coarse grid correction. Zbl 1271.65052Notay, Yvan; Napov, Artem 4 2013 An algebraic multigrid method with guaranteed convergence rate. Zbl 1248.65037Napov, Artem; Notay, Yvan 52 2012 Aggregation-based algebraic multigrid for convection-diffusion equations. Zbl 1250.76139Notay, Yvan 40 2012 Algebraic analysis of aggregation-based multigrid. Zbl 1249.65270Napov, Artem; Notay, Yvan 15 2011 Smoothing factor, order of prolongation and actual multigrid convergence. Zbl 1227.65122Napov, Artem; Notay, Yvan 5 2011 An aggregation-based algebraic multigrid method. Zbl 1206.65133Notay, Yvan 79 2010 Algebraic analysis of two-grid methods: the nonsymmetric case. Zbl 1240.65358Notay, Yvan 18 2010 Comparison of bounds for V-cycle multigrid. Zbl 1192.65151Napov, Artem; Notay, Yvan 5 2010 When does two-grid optimality carry over to the V-cycle? Zbl 1240.65357Napov, Artem; Notay, Yvan 4 2010 Controlling inner iterations in the Jacobi-Davidson method. Zbl 1191.65032Hochstenbach, Michiel E.; Notay, Yvan 14 2009 Recursive Krylov-based multigrid cycles. Zbl 1212.65132Notay, Y.; Vassilevski, P. S. 23 2008 Analysis of aggregation-based multigrid. Zbl 1163.65092Muresan, Adrian C.; Notay, Yvan 11 2008 JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices. Zbl 1196.65072Bollhöfer, Matthias; Notay, Yvan 9 2007 Convergence analysis of perturbed two-grid and multigrid methods. Zbl 1145.65024Notay, Yvan 3 2007 Homogeneous Jacobi-Davidson. Zbl 1171.65377Hochstenbach, Michiel E.; Notay, Yvan 1 2007 Aggregation-based algebraic multilevel preconditioning. Zbl 1102.65053Notay, Yvan 11 2006 The Jacobi-Davidson method. Zbl 1177.65055Hochstenbach, M. E.; Notay, Y. 10 2006 Algebraic multigrid and algebraic multilevel methods: a theoretical comparison. Zbl 1164.65356Notay, Y. 13 2005 Is Jacobi-Davidson faster than Davidson? Zbl 1078.65032Notay, Yvan 6 2005 Convergence analysis of inexact Rayleigh quotient iteration. Zbl 1045.65032Notay, Yvan 19 2003 Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516Notay, Y. 35 2002 Robust parameter-free algebraic multilevel preconditioning. Zbl 1071.65536Notay, Y. 6 2002 Flexible conjugate gradients. Zbl 0980.65030Notay, Yvan 42 2000 A robust algebraic multilevel preconditioner for non-symmetric \(M\)-matrices. Zbl 1051.65058Notay, Yvan 8 2000 Optimal order preconditioning of finite difference matrices. Zbl 0959.65064Notay, Yvan 6 2000 Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems. Zbl 0959.65065Monga-Made, Mardochée Magolu; Notay, Yvan 2 2000 Problem-dependent preconditioners for iterative solvers in FE elastostatics. Zbl 1048.74591Saint-Georges, Pascal; Warzee, Guy; Notay, Yvan; Beauwens, Robert 7 1999 A multilevel block incomplete factorization preconditioning. Zbl 0960.65053Notay, Y. 5 1999 Using approximate inverses in algebraic multilevel methods. Zbl 0911.65027Notay, Y. 9 1998 Optimal V-cycle algebraic multilevel preconditioning. Zbl 0969.65025Notay, Yvan 5 1998 How fast the Laplace equation was solved in 1995. Zbl 0891.65112Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M. 6 1997 A nearly optimal preconditioning based on recursive red-black orderings. Zbl 0890.65041Notay, Y.; Amar, Z. O. 3 1997 Parallel iterative solution of 3D elasticity equations. Zbl 0951.74595Valkenberg, R.; Warzée, G.; Saint-Georges, P.; Beauwens, R.; Notay, Y. 1 1997 High-performance PCG solvers for FEM structural analysis. Zbl 0886.73071Saint-Georges, P.; Warzee, G.; Beauwens, R.; Notay, Y. 20 1996 DRIC: A dynamic version of the RIC method. Zbl 0839.65030Notay, Yvan 17 1994 \(S/P\) images of upper triangular \(M\)-matrices. Zbl 0813.65071Beauwens, R.; Notay, Y.; Tombuyses, B. 2 1994 On the convergence rate of the conjugate gradients in presence of rounding errors. Zbl 0791.65016Notay, Yvan 17 1993 A new approximate factorization method. Zbl 0790.65023Notay, Yvan 1 1993 Upper eigenvalue bounds and related modified incomplete factorization strategies. Zbl 0785.65035Notay, Y. 9 1992 Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations. Zbl 0756.65049Notay, Yvan 3 1992 On the robustness of modified incomplete factorization methods. Zbl 0766.65032Notay, Y. 1 1992 Conditioning analysis of modified block incomplete factorizations. Zbl 0735.65028Notay, Yvan 9 1991 On the conditioning analysis of block approximate factorization methods. Zbl 0780.65028Magolu, Monga-Made; Notay, Yvan 6 1991 Solving positive (semi)definite linear systems by preconditioned iterative methods. Zbl 0722.65012Notay, Y. 8 1990 Incomplete factorizations of singular linear systems. Zbl 0687.65028Notay, Yvan 9 1989 Polynomial acceleration of iterative schemes associated with subproper splittings. Zbl 0659.65027Notay, Yvan 8 1988 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year