Edit Profile Benzi, Michele Compute Distance To: Compute Author ID: benzi.michele Published as: Benzi, M.; Benzi, Michele Homepage: http://www.mathcs.emory.edu/~benzi/ External Links: MGP · Wikidata · ResearchGate · dblp · GND Documents Indexed: 105 Publications since 1993, including 3 Books all top 5 Co-Authors 11 single-authored 13 Tůma, Miroslav 6 Simoncini, Valeria 5 Olshanskii, Maxim A. 5 Wang, Zhen 4 Bai, Zhongzhi 4 Beik, Fatemeh Panjeh Ali 4 Estrada, Ernesto 4 Golub, Gene Howard 4 Szyld, Daniel B. 3 Arrigo, Francesca 3 Boito, Paola 3 Chen, Fang 3 Elman, Howard C. 3 Haber, Eldad 3 Kilmer, Misha E. 3 Razouk, Nader 2 Bertaccini, Daniele 2 Cai, Xiao-Chuan 2 Duff, Iain S. 2 Fika, Paraskevi 2 Hamilton, Steven P. 2 Jordan, Kirk E. 2 Kelley, Tim 2 Klymko, Christine 2 Kouhia, Reijo 2 Kuhlemann, Verena 2 Leyffer, Sven 2 Liu, Jia 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Meyer, Carl Dean jun. 2 Mitrouli, Marilena 2 Morel, Jim E. 2 Ng, Michael Kwok-Po 2 Silvester, David J. 2 Taralli, Lauren 2 Tuminaro, Ray S. 2 Uçar, Bora 2 Walker, Homer F. 2 Wareing, Todd A. 2 Warsa, James S. 2 Woodward, Carol S. 2 Yavneh, Irad 1 Alléon, Guillaume 1 Arioli, Mario 1 Aurentz, Jared Lee 1 Austin, Anthony P. 1 Bai, Zhaojun 1 Bartesaghi, Paolo 1 Chaparpordi, Sayyed-Hasan Azizi 1 Choi, Hwajeong 1 Clemente, Gian Paolo 1 Cullum, Jane K. 1 Cvetković, Ljiljana 1 Dayar, Tugrul 1 DeLong, Michael 1 Deparis, Simone 1 Evans, Thomas M. 1 Fenu, Caterina 1 Ferng, William R. 1 Ferragut, Luis 1 Freund, Roland W. 1 Frommer, Andreas 1 Gander, Martin Jakob 1 Giraud, Luc 1 Grandperrin, Gwenol 1 Grassi, Rosanna 1 Guo, Xueping 1 Haws, John C. 1 Higham, Nicholas J. 1 Huang, Ru 1 Joubert, Wayne D. 1 Kalantzis, Vassilis 1 Keyes, David Elliot 1 Knoll, Dana A. 1 Liesen, Jörg 1 Livshits, Ira 1 Lupo Pasini, Massimiliano 1 Mateescu, Gabriel 1 Mehrman, Volker 1 Nabben, Reinhard 1 Nagy, James Gerard 1 Nagy, Jim 1 Neumann, Michael 1 Niu, Qiang 1 Noskov, Mikhail 1 Olson, Luke N. 1 Pennacchio, Micol 1 Quarteroni, Alfio M. 1 Rebholz, Leo G. 1 Sgallari, Fiorella 1 Shadid, John N. 1 Slattery, Stuart R. 1 Smooke, Mitchell D. 1 Spaletta, Giulia 1 Sun, Xiaobai 1 Toscano, Elena 1 van Duin, Arno C. N. 1 Wang, Zengqi 1 Wathen, Andrew John ...and 1 more Co-Authors all top 5 Serials 17 SIAM Journal on Scientific Computing 11 Linear Algebra and its Applications 10 SIAM Journal on Matrix Analysis and Applications 6 Numerical Linear Algebra with Applications 6 ETNA. Electronic Transactions on Numerical Analysis 5 BIT 5 Numerical Algorithms 4 Numerische Mathematik 3 Computer Methods in Applied Mechanics and Engineering 3 IMA Journal of Numerical Analysis 3 Applied Numerical Mathematics 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 SIAM Review 1 Computers and Fluids 1 Discrete Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 The Mathematical Intelligencer 1 Calcolo 1 Computing 1 SIAM Journal on Numerical Analysis 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Parallel Algorithms and Applications 1 Computational Methods in Applied Mathematics 1 Acta Numerica 1 Lecture Notes in Mathematics 1 SIAM Journal on Financial Mathematics 1 Special Matrices all top 5 Fields 92 Numerical analysis (65-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 16 Fluid mechanics (76-XX) 15 Combinatorics (05-XX) 9 General and overarching topics; collections (00-XX) 9 Partial differential equations (35-XX) 5 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Biology and other natural sciences (92-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 89 Publications have been cited 3,353 times in 1,715 Documents Cited by ▼ Year ▼ Numerical solution of saddle point problems. Zbl 1115.65034Benzi, Michele; Golub, Gene H.; Liesen, Jörg 750 2005 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018Benzi, Michele 253 2002 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 212 2004 Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 154 2010 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 123 2011 Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 109 2013 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 107 1998 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 91 1996 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022Benzi, Michele; Bertaccini, Daniele 85 2008 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 77 2006 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043Benzi, Michele; Tuma, Miroslav 77 1999 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033Benzi, Michele; Simoncini, Valeria 56 2006 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 54 2004 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074Benzi, Michele; Guo, Xue-Ping 53 2011 A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025Benzi, Michele 53 2009 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015Benzi, Michele; Gander, Martin J.; Golub, Gene H. 53 2003 A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen 51 2011 Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav 46 2000 Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036Benzi, Michele; Haws, John C.; Tuma, Miroslav 43 2000 Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048Benzi, Michele; Szyld, Daniel B. 43 1997 Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. 41 1999 Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155Benzi, Michele; Boito, Paola; Razouk, Nader 37 2013 Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen 37 2011 Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043Benzi, Michele; Bertaccini, Daniele 34 2003 Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. 34 2001 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054Benzi, Michele; Golub, Gene H. 34 1999 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034Benzi, Michele; Razouk, Nader 33 2007 Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050Benzi, Michele; Ng, Michael K. 32 2006 Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046Benzi, Michele; Boito, Paola 29 2010 Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017Alléon, Guillaume; Benzi, Michele; Giraud, Luc 28 1997 Ranking hubs and authorities using matrix functions. Zbl 1258.05067Benzi, Michele; Estrada, Ernesto; Klymko, Christine 27 2013 Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114Benzi, Michele; Wang, Zhen 26 2011 Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047Benzi, Michele; Tuma, Miroslav 24 2000 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048Bai, Zhong-Zhi; Benzi, Michele 23 2017 On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113Benzi, Michele; Klymko, Christine 21 2015 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528Benzi, Michele; Tůma, Miroslav 20 2003 Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020Benzi, Michele; Boito, Paola 19 2014 Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044Benzi, Michele; Olshanskii, Maxim A. 18 2011 An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041Benzi, Michele; Liu, Jia 18 2007 Some preconditiong techniques for saddle point problems. Zbl 1152.65425Benzi, Michele; Wathen, Andrew J. 17 2008 A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041Benzi, Michele; Haber, Eldad; Taralli, Lauren 16 2011 A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030Benzi, Michele; Tuma, Miroslav 16 2003 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005Benzi, Michele; Simoncini, Valeria 15 2015 New multigrid smoothers for the Oseen problem. Zbl 1240.76003Hamilton, Steven; Benzi, Michele; Haber, Eldad 15 2010 Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028Benzi, Michele; Liu, Jia 15 2007 Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066Benzi, M. 15 1993 Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 14 2001 Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027Benzi, Michele; Tůma, Miroslav 14 1998 Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel 12 1999 A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222Benzi, Michele; Wang, Zhen 10 2013 A direct projection method for sparse linear systems. Zbl 0853.65035Benzi, Michele; Meyer, Carl D. 10 1995 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 9 2016 Computation of generalized matrix functions. Zbl 1342.65121Arrigo, Francesca; Benzi, Michele; Fenu, Caterina 9 2016 A parallel solver for large-scale Markov chains. Zbl 0997.65006Benzi, Michele; Tůma, Miroslav 9 2002 On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems. Zbl 1370.65015Beik, Fatemeh Panjeh Ali; Benzi, Michele; Chaparpordi, Sayyed-Hasan Azizi 8 2017 Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174Arrigo, Francesca; Benzi, Michele 8 2016 An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031Olshanskii, Maxim A.; Benzi, Michele 8 2008 Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120Arrigo, Francesca; Benzi, Michele 7 2016 A direct projection method for Markov chains. Zbl 1062.65011Benzi, Michele 7 2004 Iterative methods for double saddle point systems. Zbl 1391.65062Ali Beik, Fatemeh Panjeh; Benzi, Michele 6 2018 Analysis of Monte Carlo accelerated iterative methods for sparse linear systems. Zbl 1449.65098Benzi, Michele; Evans, Thomas M.; Hamilton, Steven P.; Lupo Pasini, Massimiliano; Slattery, Stuart R. 6 2017 What is the meaning of the graph energy after all? Zbl 1368.05094Estrada, Ernesto; Benzi, Michele 6 2017 On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015Benzi, Michele; Razouk, Nader 6 2007 An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 6 1998 Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078Estrada, Ernesto; Benzi, Michele 5 2017 Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E. 5 2004 A finite element method for quantum graphs. Zbl 06983842Arioli, Mario; Benzi, Michele 4 2018 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134Benzi, Michele; Simoncini, Valeria 4 2017 Localization in matrix computations: theory and applications. Zbl 1361.65027Benzi, Michele 4 2016 A note on walk entropies in graphs. Zbl 1285.05162Benzi, Michele 4 2014 Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen 4 2012 Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199Benzi, Michele; Haber, Eldad; Taralli, Lauren 4 2009 An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D. 3 2007 Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388Benzi, Michele; Uçar, Bora 3 2007 The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948Benzi, Michele; Dayar, Tuğrul 3 1995 Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis 2 2019 Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079Beik, Fatemeh Panjeh Ali; Benzi, Michele 2 2018 Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036Benzi, Michele; Kuhlemann, Verena 2 2013 Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146Benzi, M.; Kuhlemann, V. 2 2011 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 2 2010 Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052Benzi, Michele 2 2008 A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055Benzi, M.; Sgallari, F.; Spaletta, G. 2 1995 Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena 1 2019 Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062Benzi, Michele; Uçar, Bora 1 2017 Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953). Zbl 1291.01022Benzi, Michele; Toscano, Elena 1 2014 \(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031Zhang, Cheng-Yi; Benzi, Michele 1 2009 Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion. Zbl 1043.65070Warsa, J. S.; Benzi, M.; Wareing, T. A.; Morel, J. E. 1 2003 Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B. 1 1998 Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Zbl 0963.65508Benzi, Michele; Tůma, Miroslav 1 1996 Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis 2 2019 Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena 1 2019 Iterative methods for double saddle point systems. Zbl 1391.65062Ali Beik, Fatemeh Panjeh; Benzi, Michele 6 2018 A finite element method for quantum graphs. Zbl 06983842Arioli, Mario; Benzi, Michele 4 2018 Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079Beik, Fatemeh Panjeh Ali; Benzi, Michele 2 2018 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048Bai, Zhong-Zhi; Benzi, Michele 23 2017 On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems. Zbl 1370.65015Beik, Fatemeh Panjeh Ali; Benzi, Michele; Chaparpordi, Sayyed-Hasan Azizi 8 2017 Analysis of Monte Carlo accelerated iterative methods for sparse linear systems. Zbl 1449.65098Benzi, Michele; Evans, Thomas M.; Hamilton, Steven P.; Lupo Pasini, Massimiliano; Slattery, Stuart R. 6 2017 What is the meaning of the graph energy after all? Zbl 1368.05094Estrada, Ernesto; Benzi, Michele 6 2017 Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078Estrada, Ernesto; Benzi, Michele 5 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134Benzi, Michele; Simoncini, Valeria 4 2017 Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062Benzi, Michele; Uçar, Bora 1 2017 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 9 2016 Computation of generalized matrix functions. Zbl 1342.65121Arrigo, Francesca; Benzi, Michele; Fenu, Caterina 9 2016 Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174Arrigo, Francesca; Benzi, Michele 8 2016 Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120Arrigo, Francesca; Benzi, Michele 7 2016 Localization in matrix computations: theory and applications. Zbl 1361.65027Benzi, Michele 4 2016 On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113Benzi, Michele; Klymko, Christine 21 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005Benzi, Michele; Simoncini, Valeria 15 2015 Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020Benzi, Michele; Boito, Paola 19 2014 A note on walk entropies in graphs. Zbl 1285.05162Benzi, Michele 4 2014 Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953). Zbl 1291.01022Benzi, Michele; Toscano, Elena 1 2014 Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 109 2013 Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155Benzi, Michele; Boito, Paola; Razouk, Nader 37 2013 Ranking hubs and authorities using matrix functions. Zbl 1258.05067Benzi, Michele; Estrada, Ernesto; Klymko, Christine 27 2013 A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222Benzi, Michele; Wang, Zhen 10 2013 Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036Benzi, Michele; Kuhlemann, Verena 2 2013 Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen 4 2012 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 123 2011 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074Benzi, Michele; Guo, Xue-Ping 53 2011 A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen 51 2011 Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen 37 2011 Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114Benzi, Michele; Wang, Zhen 26 2011 Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044Benzi, Michele; Olshanskii, Maxim A. 18 2011 A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041Benzi, Michele; Haber, Eldad; Taralli, Lauren 16 2011 Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146Benzi, M.; Kuhlemann, V. 2 2011 Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 154 2010 Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046Benzi, Michele; Boito, Paola 29 2010 New multigrid smoothers for the Oseen problem. Zbl 1240.76003Hamilton, Steven; Benzi, Michele; Haber, Eldad 15 2010 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 2 2010 A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025Benzi, Michele 53 2009 Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199Benzi, Michele; Haber, Eldad; Taralli, Lauren 4 2009 \(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031Zhang, Cheng-Yi; Benzi, Michele 1 2009 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022Benzi, Michele; Bertaccini, Daniele 85 2008 Some preconditiong techniques for saddle point problems. Zbl 1152.65425Benzi, Michele; Wathen, Andrew J. 17 2008 An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031Olshanskii, Maxim A.; Benzi, Michele 8 2008 Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052Benzi, Michele 2 2008 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034Benzi, Michele; Razouk, Nader 33 2007 An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041Benzi, Michele; Liu, Jia 18 2007 Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028Benzi, Michele; Liu, Jia 15 2007 On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015Benzi, Michele; Razouk, Nader 6 2007 An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D. 3 2007 Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388Benzi, Michele; Uçar, Bora 3 2007 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 77 2006 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033Benzi, Michele; Simoncini, Valeria 56 2006 Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050Benzi, Michele; Ng, Michael K. 32 2006 Numerical solution of saddle point problems. Zbl 1115.65034Benzi, Michele; Golub, Gene H.; Liesen, Jörg 750 2005 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 212 2004 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 54 2004 A direct projection method for Markov chains. Zbl 1062.65011Benzi, Michele 7 2004 Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E. 5 2004 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015Benzi, Michele; Gander, Martin J.; Golub, Gene H. 53 2003 Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043Benzi, Michele; Bertaccini, Daniele 34 2003 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528Benzi, Michele; Tůma, Miroslav 20 2003 A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030Benzi, Michele; Tuma, Miroslav 16 2003 Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion. Zbl 1043.65070Warsa, J. S.; Benzi, M.; Wareing, T. A.; Morel, J. E. 1 2003 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018Benzi, Michele 253 2002 A parallel solver for large-scale Markov chains. Zbl 0997.65006Benzi, Michele; Tůma, Miroslav 9 2002 Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. 34 2001 Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 14 2001 Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav 46 2000 Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036Benzi, Michele; Haws, John C.; Tuma, Miroslav 43 2000 Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047Benzi, Michele; Tuma, Miroslav 24 2000 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043Benzi, Michele; Tuma, Miroslav 77 1999 Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. 41 1999 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054Benzi, Michele; Golub, Gene H. 34 1999 Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel 12 1999 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 107 1998 Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027Benzi, Michele; Tůma, Miroslav 14 1998 An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 6 1998 Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B. 1 1998 Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048Benzi, Michele; Szyld, Daniel B. 43 1997 Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017Alléon, Guillaume; Benzi, Michele; Giraud, Luc 28 1997 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 91 1996 Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Zbl 0963.65508Benzi, Michele; Tůma, Miroslav 1 1996 A direct projection method for sparse linear systems. Zbl 0853.65035Benzi, Michele; Meyer, Carl D. 10 1995 The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948Benzi, Michele; Dayar, Tuğrul 3 1995 A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055Benzi, M.; Sgallari, F.; Spaletta, G. 2 1995 Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066Benzi, M. 15 1993 all cited Publications top 5 cited Publications all top 5 Cited by 2,266 Authors 58 Zhang, Guofeng 45 Ma, Changfeng 42 Huang, Ting-Zhu 41 Benzi, Michele 30 Liang, Zhao-Zheng 28 Cao, Yang 27 Li, Cuixia 27 Wu, Shiliang 26 Khojasteh Salkuyeh, Davod 22 Bai, Zhongzhi 20 Ferronato, Massimiliano 20 Wu, Yujiang 20 Yang, Aili 19 Axelsson, Axel Owe Holger 19 Rebholz, Leo G. 18 Simoncini, Valeria 16 Bergamaschi, Luca 16 Huang, Zhengge 16 Szyld, Daniel B. 15 Cui, Jingjing 15 Janna, Carlo 15 Stoll, Martin 14 Fan, Hongtao 14 Pearson, John W. 14 Tůma, Miroslav 14 Wathen, Andrew John 14 Xu, Zhong 13 Wang, Ligong 13 Wei, Yimin 13 Zheng, Qingqing 12 Chen, Guoliang 12 Liao, Lidan 12 Liu, Xiaowei 12 Olshanskii, Maxim A. 12 Reichel, Lothar 12 Saad, Yousef 12 Zhang, Jin 12 Zheng, Bing 11 Gambolati, Giuseppe 11 Huang, Na 10 Chao, Zhen 10 Li, Wen 10 Pini, Giorgio 10 Toutounian, Faezeh 10 Zeng, Minli 10 Zhang, Naimin 9 Bacuta, Constantin 9 Estrada, Ernesto 9 Gondzio, Jacek 9 Li, Chengliang 9 Li, Liang 9 Miao, Shu-Xin 9 Ren, Zhi-Ru 9 Shen, Shuqian 9 Wu, Qingbiao 9 Zhang, Jianhua 9 Zhang, Jun 9 Zhu, Muzheng 8 Bollhöfer, Matthias 8 Carpentieri, Bruno 8 Castelletto, Nicola 8 Chen, Fang 8 De Simone, Valentina 8 di Serafino, Daniela 8 Guo, Xueping 8 Kressner, Daniel 8 Le Borne, Sabine 8 Lin, Lin 8 Lin, Yiqin 8 Morini, Benedetta 8 Ng, Michael Kwok-Po 8 Niu, Qiang 8 Rafiei, Amin 8 Wang, Xiang 7 Arrigo, Francesca 7 Bertaccini, Daniele 7 Brenner, Susanne Cecelia 7 Cao, Zhihao 7 Chen, Minhong 7 Durastante, Fabio 7 Franceschini, Andrea 7 Gravvanis, George A. 7 Jing, Yanfei 7 Ke, Yifen 7 Li, Xu 7 Neytcheva, Maya G. 7 Peng, Xiaofei 7 Pestana, Jennifer 7 Xiao, Xiaoyong 7 Zhu, Xinyun 6 Bellavia, Stefania 6 Chehab, Jean-Paul 6 Dai, Hua 6 Dou, Yan 6 Edalatpanah, Seyyed Ahmad 6 Fika, Paraskevi 6 Greif, Chen 6 Jiang, Meiqun 6 Lei, Siulong 6 Liu, Xingping ...and 2,166 more Authors all top 5 Cited in 201 Serials 147 Journal of Computational and Applied Mathematics 133 Applied Mathematics and Computation 108 Computers & Mathematics with Applications 100 Numerical Algorithms 98 Journal of Computational Physics 89 SIAM Journal on Scientific Computing 82 Linear Algebra and its Applications 63 Numerical Linear Algebra with Applications 51 Computer Methods in Applied Mechanics and Engineering 46 Applied Numerical Mathematics 44 SIAM Journal on Matrix Analysis and Applications 40 Computational and Applied Mathematics 38 Applied Mathematics Letters 34 International Journal of Computer Mathematics 32 BIT 30 Journal of Scientific Computing 29 Numerische Mathematik 24 Computational Optimization and Applications 21 Calcolo 20 East Asian Journal on Applied Mathematics 15 International Journal for Numerical Methods in Fluids 15 International Journal for Numerical Methods in Engineering 15 Engineering Analysis with Boundary Elements 12 Computers and Fluids 12 Mathematics of Computation 12 Mathematical Problems in Engineering 11 SIAM Journal on Numerical Analysis 11 Journal of Applied Mathematics 10 Advances in Computational Mathematics 9 Computing 9 Journal of Applied Mathematics and Computing 8 Optimization Methods & Software 7 Japan Journal of Industrial and Applied Mathematics 7 Multiscale Modeling & Simulation 6 Computational Mechanics 6 ETNA. Electronic Transactions on Numerical Analysis 5 Journal of Mathematical Analysis and Applications 5 SIAM Review 5 Communications in Numerical Methods in Engineering 5 Journal of Inequalities and Applications 5 Archives of Computational Methods in Engineering 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computer Physics Communications 4 Journal of Engineering Mathematics 4 Linear and Multilinear Algebra 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Applied Mathematics 4 Advances in Engineering Software 4 Computing and Visualization in Science 4 Chaos 4 Computational Geosciences 4 Computational Methods in Applied Mathematics 4 Journal of Numerical Mathematics 4 Mediterranean Journal of Mathematics 4 Mathematical Programming Computation 4 Science China. Mathematics 3 Discrete Applied Mathematics 3 International Journal for Numerical and Analytical Methods in Geomechanics 3 Journal of Mathematical Physics 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 Applied Mathematical Modelling 3 SIAM Journal on Optimization 3 Applied and Computational Harmonic Analysis 3 Engineering Computations 3 Lobachevskii Journal of Mathematics 3 Journal of Computational Acoustics 3 Statistics and Computing 3 SIAM/ASA Journal on Uncertainty Quantification 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Fluid Mechanics 2 ACM Transactions on Mathematical Software 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Kybernetika 2 Numerical Functional Analysis and Optimization 2 Optimal Control Applications & Methods 2 Mathematical and Computer Modelling 2 Journal of Global Optimization 2 European Journal of Operational Research 2 Journal of Non-Newtonian Fluid Mechanics 2 Applied Mathematics. Series B (English Edition) 2 Turkish Journal of Mathematics 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Mathematical Chemistry 2 Parallel Algorithms and Applications 2 Multibody System Dynamics 2 Abstract and Applied Analysis 2 The ANZIAM Journal 2 Foundations of Computational Mathematics 2 Applied Mathematics E-Notes 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Computational Methods 2 Acta Numerica 2 GAMM-Mitteilungen 2 Frontiers of Mathematics in China 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Discrete Mathematics, Algorithms and Applications 2 International Journal for Numerical Methods in Biomedical Engineering ...and 101 more Serials all top 5 Cited in 47 Fields 1,472 Numerical analysis (65-XX) 271 Linear and multilinear algebra; matrix theory (15-XX) 266 Fluid mechanics (76-XX) 226 Partial differential equations (35-XX) 102 Mechanics of deformable solids (74-XX) 100 Operations research, mathematical programming (90-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 59 Combinatorics (05-XX) 43 Computer science (68-XX) 39 Optics, electromagnetic theory (78-XX) 36 Probability theory and stochastic processes (60-XX) 28 Biology and other natural sciences (92-XX) 22 Operator theory (47-XX) 21 Information and communication theory, circuits (94-XX) 19 Ordinary differential equations (34-XX) 17 Statistics (62-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Systems theory; control (93-XX) 15 Quantum theory (81-XX) 14 Approximations and expansions (41-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Geophysics (86-XX) 11 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 6 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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