Edit Profile (opens in new tab) Benzi, Michele Co-Author Distance Author ID: benzi.michele Published as: Benzi, Michele; Benzi, M. Homepage: http://www.mathcs.emory.edu/~benzi/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 117 Publications since 1993, including 6 Additional arXiv Preprints 7 Contributions as Editor Co-Authors: 115 Co-Authors with 111 Joint Publications 3,902 Co-Co-Authors all top 5 Co-Authors 13 single-authored 13 Tůma, Miroslav 7 Beik, Fatemeh Panjeh Ali 6 Simoncini, Valeria 5 Estrada, Ernesto 5 Olshanskii, Maxim A. 5 Wang, Zhen 4 Bai, Zhongzhi 4 Boito, Paola 4 Golub, Gene Howard 4 Szyld, Daniel B. 3 Arrigo, Francesca 3 Bertaccini, Daniele 3 Chen, Fang 3 Elman, Howard C. 3 Faccio, Chiara 3 Haber, Eldad 3 Kilmer, Misha Elena 3 Klymko, Christine 3 Razouk, Nader 3 Simunec, Igor 2 Cai, Xiao-Chuan 2 Daidone, Isabella 2 Duff, Iain S. 2 Facca, Enrico 2 Fika, Paraskevi 2 Hamilton, Steven P. 2 Jordan, Kirk E. 2 Kelley, Tim 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 Rinelli, Michele 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 Bini, Dario Andrea 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 Deniskin, Nikita 1 Deparis, Simone 1 Durastante, Fabio 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 Hatano, Naomichi 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 Kressner, Daniel 1 Liesen, Jörg 1 Livshits, Irene 1 Lupo Pasini, Massimiliano 1 Mateescu, Gabriel 1 Mehrmann, Volker 1 Munthe-Kaas, Hans Z. 1 Nabben, Reinhard 1 Nagy, James Gerard 1 Nagy, Jim 1 Najafi-Kalyani, Mehdi 1 Natale, Andrea 1 Neumann, Michael 1 Niu, Qiang 1 Noskov, Mikhail Valerianovich 1 Olson, Luke N. ...and 19 more Co-Authors all top 5 Serials 18 SIAM Journal on Scientific Computing 12 Linear Algebra and its Applications 10 SIAM Journal on Matrix Analysis and Applications 6 BIT 6 Numerical Linear Algebra with Applications 6 ETNA. Electronic Transactions on Numerical Analysis 5 Numerische Mathematik 5 Numerical Algorithms 3 Computer Methods in Applied Mechanics and Engineering 3 IMA Journal of Numerical Analysis 3 Applied Numerical Mathematics 3 Journal of Complex Networks 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Applied Mathematics Letters 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 International Journal of Computer Mathematics 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Parallel Algorithms and Applications 1 Vietnam Journal of Mathematics 1 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 1 Computational Methods in Applied Mathematics 1 Acta Numerica 1 GAMM-Mitteilungen 1 Lecture Notes in Mathematics 1 SIAM Journal on Financial Mathematics 1 Journal of Combinatorics 1 Special Matrices 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 106 Numerical analysis (65-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 24 Combinatorics (05-XX) 17 Fluid mechanics (76-XX) 12 Partial differential equations (35-XX) 9 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Operations research, mathematical programming (90-XX) 5 Probability theory and stochastic processes (60-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 4,519 times in 2,317 Documents Cited by ▼ Year ▼ Numerical solution of saddle point problems. Zbl 1115.65034 Benzi, Michele; Golub, Gene H.; Liesen, Jörg 998 2005 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018 Benzi, Michele 330 2002 A preconditioner for generalized saddle point problems. Zbl 1082.65034 Benzi, Michele; Golub, Gene H. 268 2004 Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 225 2010 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 174 2011 Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 153 2013 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022 Benzi, Michele; Bertaccini, Daniele 122 2008 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027 Benzi, Michele; Tuma, Miroslav 119 1998 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028 Benzi, Michele; Olshanskii, Maxim A. 115 2006 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019 Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 98 1996 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043 Benzi, Michele; Tuma, Miroslav 87 1999 A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025 Benzi, Michele 78 2009 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015 Benzi, Michele; Gander, Martin J.; Golub, Gene H. 68 2003 A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433 Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen 67 2011 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele 66 2004 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria 65 2006 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074 Benzi, Michele; Guo, Xue-Ping 65 2011 Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152 Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen 53 2011 Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035 Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav 53 2000 Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036 Benzi, Michele; Haws, John C.; Tuma, Miroslav 52 2000 Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048 Benzi, Michele; Szyld, Daniel B. 52 1997 Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155 Benzi, Michele; Boito, Paola; Razouk, Nader 50 2013 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054 Benzi, Michele; Golub, Gene H. 48 1999 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034 Benzi, Michele; Razouk, Nader 47 2007 Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050 Benzi, Michele; Ng, Michael K. 46 2006 Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033 Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. 43 1999 Ranking hubs and authorities using matrix functions. Zbl 1258.05067 Benzi, Michele; Estrada, Ernesto; Klymko, Christine 43 2013 Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037 Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. 40 2001 Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043 Benzi, Michele; Bertaccini, Daniele 39 2003 Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046 Benzi, Michele; Boito, Paola 38 2010 On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113 Benzi, Michele; Klymko, Christine 35 2015 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048 Bai, Zhong-Zhi; Benzi, Michele 34 2017 Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114 Benzi, Michele; Wang, Zhen 30 2011 Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044 Benzi, Michele; Olshanskii, Maxim A. 29 2011 Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017 Alléon, Guillaume; Benzi, Michele; Giraud, Luc 29 1997 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528 Benzi, Michele; Tůma, Miroslav 29 2003 Some preconditiong techniques for saddle point problems. Zbl 1152.65425 Benzi, Michele; Wathen, Andrew J. 29 2008 Iterative methods for double saddle point systems. Zbl 1391.65062 Ali Beik, Fatemeh Panjeh; Benzi, Michele 29 2018 Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047 Benzi, Michele; Tuma, Miroslav 28 2000 Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020 Benzi, Michele; Boito, Paola 28 2014 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria 26 2015 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212 Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 22 2016 A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041 Benzi, Michele; Haber, Eldad; Taralli, Lauren 21 2011 A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030 Benzi, Michele; Tuma, Miroslav 20 2003 An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041 Benzi, Michele; Liu, Jia 20 2007 Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028 Benzi, Michele; Liu, Jia 18 2007 New multigrid smoothers for the Oseen problem. Zbl 1240.76003 Hamilton, Steven; Benzi, Michele; Haber, Eldad 17 2010 Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041 Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 17 2001 Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079 Beik, Fatemeh Panjeh Ali; Benzi, Michele 17 2018 Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027 Benzi, Michele; Tůma, Miroslav 15 1998 Computation of generalized matrix functions. Zbl 1342.65121 Arrigo, Francesca; Benzi, Michele; Fenu, Caterina 15 2016 Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012 Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel 14 1999 Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066 Benzi, M. 14 1993 Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120 Arrigo, Francesca; Benzi, Michele 14 2016 A finite element method for quantum graphs. Zbl 1462.65176 Arioli, Mario; Benzi, Michele 14 2018 What is the meaning of the graph energy after all? Zbl 1368.05094 Estrada, Ernesto; Benzi, Michele 13 2017 Localization in matrix computations: theory and applications. Zbl 1361.65027 Benzi, Michele 12 2016 On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems. Zbl 1370.65015 Beik, Fatemeh Panjeh Ali; Benzi, Michele; Chaparpordi, Sayyed-Hasan Azizi 12 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria 12 2017 A direct projection method for sparse linear systems. Zbl 0853.65035 Benzi, Michele; Meyer, Carl D. 11 1995 Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174 Arrigo, Francesca; Benzi, Michele 11 2016 An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031 Olshanskii, Maxim A.; Benzi, Michele 10 2008 A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222 Benzi, Michele; Wang, Zhen 10 2013 Some uses of the field of values in numerical analysis. Zbl 1470.65084 Benzi, Michele 10 2021 On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015 Benzi, Michele; Razouk, Nader 9 2007 A parallel solver for large-scale Markov chains. Zbl 0997.65006 Benzi, Michele; Tůma, Miroslav 8 2002 A direct projection method for Markov chains. Zbl 1062.65011 Benzi, Michele 8 2004 Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030 Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis 8 2019 Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020 Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor 8 2020 Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040 Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen 7 2012 Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078 Estrada, Ernesto; Benzi, Michele 7 2017 Analysis of Monte Carlo accelerated iterative methods for sparse linear systems. Zbl 1449.65098 Benzi, Michele; Evans, Thomas M.; Hamilton, Steven P.; Lupo Pasini, Massimiliano; Slattery, Stuart R. 7 2017 Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359 Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E. 7 2004 An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348 Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 6 1998 Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038 Benzi, Michele; Beik, Fatemeh Panjeh Ali 6 2019 Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199 Benzi, Michele; Haber, Eldad; Taralli, Lauren 6 2009 A note on walk entropies in graphs. Zbl 1285.05162 Benzi, Michele 6 2014 Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388 Benzi, Michele; Uçar, Bora 5 2007 An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263 Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D. 4 2007 Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052 Benzi, Michele 4 2008 Risk-dependent centrality in economic and financial networks. Zbl 1444.91218 Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto 4 2020 Solving cubic matrix equations arising in conservative dynamics. Zbl 1511.37100 Benzi, Michele; Viviani, Milo 4 2023 Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007 Benzi, Michele; Huang, Ru 4 2019 Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. Zbl 1493.65190 Beik, Fatemeh Panjeh Ali; Benzi, Michele 4 2022 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194 Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 3 2010 The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948 Benzi, Michele; Dayar, Tuğrul 3 1995 Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065 Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena 3 2019 \(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031 Zhang, Cheng-Yi; Benzi, Michele 2 2009 Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion. Zbl 1043.65070 Warsa, J. S.; Benzi, M.; Wareing, T. A.; Morel, J. E. 2 2003 A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055 Benzi, M.; Sgallari, F.; Spaletta, G. 2 1995 Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020 Benzi, Michele; Simunec, Igor 2 2022 Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. Zbl 1487.65187 Benzi, Michele; Rinelli, Michele 2 2022 Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953). Zbl 1291.01022 Benzi, Michele; Toscano, Elena 2 2014 Fast iterative solution of the optimal transport problem on graphs. Zbl 1512.65103 Facca, Enrico; Benzi, Michele 2 2021 Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146 Benzi, M.; Kuhlemann, V. 2 2011 Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036 Benzi, Michele; Kuhlemann, Verena 2 2013 Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Zbl 0963.65508 Benzi, Michele; Tůma, Miroslav 1 1996 Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036 Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B. 1 1998 Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062 Benzi, Michele; Uçar, Bora 1 2017 Solving cubic matrix equations arising in conservative dynamics. Zbl 1511.37100 Benzi, Michele; Viviani, Milo 4 2023 Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. Zbl 1493.65190 Beik, Fatemeh Panjeh Ali; Benzi, Michele 4 2022 Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020 Benzi, Michele; Simunec, Igor 2 2022 Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. Zbl 1487.65187 Benzi, Michele; Rinelli, Michele 2 2022 Some uses of the field of values in numerical analysis. Zbl 1470.65084 Benzi, Michele 10 2021 Fast iterative solution of the optimal transport problem on graphs. Zbl 1512.65103 Facca, Enrico; Benzi, Michele 2 2021 Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020 Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor 8 2020 Risk-dependent centrality in economic and financial networks. Zbl 1444.91218 Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto 4 2020 Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030 Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis 8 2019 Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038 Benzi, Michele; Beik, Fatemeh Panjeh Ali 6 2019 Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007 Benzi, Michele; Huang, Ru 4 2019 Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065 Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena 3 2019 Iterative methods for double saddle point systems. Zbl 1391.65062 Ali Beik, Fatemeh Panjeh; Benzi, Michele 29 2018 Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079 Beik, Fatemeh Panjeh Ali; Benzi, Michele 17 2018 A finite element method for quantum graphs. Zbl 1462.65176 Arioli, Mario; Benzi, Michele 14 2018 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048 Bai, Zhong-Zhi; Benzi, Michele 34 2017 What is the meaning of the graph energy after all? Zbl 1368.05094 Estrada, Ernesto; Benzi, Michele 13 2017 On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems. Zbl 1370.65015 Beik, Fatemeh Panjeh Ali; Benzi, Michele; Chaparpordi, Sayyed-Hasan Azizi 12 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria 12 2017 Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078 Estrada, Ernesto; Benzi, Michele 7 2017 Analysis of Monte Carlo accelerated iterative methods for sparse linear systems. Zbl 1449.65098 Benzi, Michele; Evans, Thomas M.; Hamilton, Steven P.; Lupo Pasini, Massimiliano; Slattery, Stuart R. 7 2017 Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062 Benzi, Michele; Uçar, Bora 1 2017 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212 Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 22 2016 Computation of generalized matrix functions. Zbl 1342.65121 Arrigo, Francesca; Benzi, Michele; Fenu, Caterina 15 2016 Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120 Arrigo, Francesca; Benzi, Michele 14 2016 Localization in matrix computations: theory and applications. Zbl 1361.65027 Benzi, Michele 12 2016 Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174 Arrigo, Francesca; Benzi, Michele 11 2016 On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113 Benzi, Michele; Klymko, Christine 35 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria 26 2015 Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020 Benzi, Michele; Boito, Paola 28 2014 A note on walk entropies in graphs. Zbl 1285.05162 Benzi, Michele 6 2014 Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953). Zbl 1291.01022 Benzi, Michele; Toscano, Elena 2 2014 Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 153 2013 Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155 Benzi, Michele; Boito, Paola; Razouk, Nader 50 2013 Ranking hubs and authorities using matrix functions. Zbl 1258.05067 Benzi, Michele; Estrada, Ernesto; Klymko, Christine 43 2013 A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222 Benzi, Michele; Wang, Zhen 10 2013 Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036 Benzi, Michele; Kuhlemann, Verena 2 2013 Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040 Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen 7 2012 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 174 2011 A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433 Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen 67 2011 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074 Benzi, Michele; Guo, Xue-Ping 65 2011 Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152 Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen 53 2011 Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114 Benzi, Michele; Wang, Zhen 30 2011 Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044 Benzi, Michele; Olshanskii, Maxim A. 29 2011 A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041 Benzi, Michele; Haber, Eldad; Taralli, Lauren 21 2011 Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146 Benzi, M.; Kuhlemann, V. 2 2011 Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 225 2010 Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046 Benzi, Michele; Boito, Paola 38 2010 New multigrid smoothers for the Oseen problem. Zbl 1240.76003 Hamilton, Steven; Benzi, Michele; Haber, Eldad 17 2010 Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194 Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 3 2010 A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025 Benzi, Michele 78 2009 Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199 Benzi, Michele; Haber, Eldad; Taralli, Lauren 6 2009 \(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031 Zhang, Cheng-Yi; Benzi, Michele 2 2009 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022 Benzi, Michele; Bertaccini, Daniele 122 2008 Some preconditiong techniques for saddle point problems. Zbl 1152.65425 Benzi, Michele; Wathen, Andrew J. 29 2008 An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031 Olshanskii, Maxim A.; Benzi, Michele 10 2008 Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052 Benzi, Michele 4 2008 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034 Benzi, Michele; Razouk, Nader 47 2007 An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041 Benzi, Michele; Liu, Jia 20 2007 Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028 Benzi, Michele; Liu, Jia 18 2007 On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015 Benzi, Michele; Razouk, Nader 9 2007 Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388 Benzi, Michele; Uçar, Bora 5 2007 An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263 Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D. 4 2007 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028 Benzi, Michele; Olshanskii, Maxim A. 115 2006 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria 65 2006 Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050 Benzi, Michele; Ng, Michael K. 46 2006 Numerical solution of saddle point problems. Zbl 1115.65034 Benzi, Michele; Golub, Gene H.; Liesen, Jörg 998 2005 A preconditioner for generalized saddle point problems. Zbl 1082.65034 Benzi, Michele; Golub, Gene H. 268 2004 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele 66 2004 A direct projection method for Markov chains. Zbl 1062.65011 Benzi, Michele 8 2004 Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359 Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E. 7 2004 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015 Benzi, Michele; Gander, Martin J.; Golub, Gene H. 68 2003 Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043 Benzi, Michele; Bertaccini, Daniele 39 2003 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528 Benzi, Michele; Tůma, Miroslav 29 2003 A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030 Benzi, Michele; Tuma, Miroslav 20 2003 Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion. Zbl 1043.65070 Warsa, J. S.; Benzi, M.; Wareing, T. A.; Morel, J. E. 2 2003 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018 Benzi, Michele 330 2002 A parallel solver for large-scale Markov chains. Zbl 0997.65006 Benzi, Michele; Tůma, Miroslav 8 2002 Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037 Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. 40 2001 Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041 Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 17 2001 Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035 Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav 53 2000 Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036 Benzi, Michele; Haws, John C.; Tuma, Miroslav 52 2000 Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047 Benzi, Michele; Tuma, Miroslav 28 2000 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043 Benzi, Michele; Tuma, Miroslav 87 1999 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054 Benzi, Michele; Golub, Gene H. 48 1999 Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033 Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. 43 1999 Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012 Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel 14 1999 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027 Benzi, Michele; Tuma, Miroslav 119 1998 Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027 Benzi, Michele; Tůma, Miroslav 15 1998 An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348 Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 6 1998 Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036 Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B. 1 1998 Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048 Benzi, Michele; Szyld, Daniel B. 52 1997 Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017 Alléon, Guillaume; Benzi, Michele; Giraud, Luc 29 1997 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019 Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 98 1996 Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Zbl 0963.65508 Benzi, Michele; Tůma, Miroslav 1 1996 A direct projection method for sparse linear systems. Zbl 0853.65035 Benzi, Michele; Meyer, Carl D. 11 1995 The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948 Benzi, Michele; Dayar, Tuğrul 3 1995 A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055 Benzi, M.; Sgallari, F.; Spaletta, G. 2 1995 Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066 Benzi, M. 14 1993 all cited Publications top 5 cited Publications all top 5 Cited by 2,928 Authors 66 Zhang, Guofeng 52 Ma, Changfeng 49 Benzi, Michele 44 Huang, Ting-Zhu 42 Khojasteh Salkuyeh, Davod 38 Liang, Zhaozheng 34 Wu, Shiliang 33 Li, Cuixia 31 Cao, Yang 27 Ferronato, Massimiliano 26 Wu, Yujiang 25 Yang, Aili 24 Bai, Zhongzhi 24 Huang, Zhengge 23 Axelsson, Axel Owe Holger 23 Rebholz, Leo G. 23 Simoncini, Valeria 23 Zhang, Jin 21 Cui, Jingjing 21 Liu, Xiaowei 21 Stoll, Martin 20 Janna, Carlo 18 Bergamaschi, Luca 18 Szyld, Daniel B. 17 Pearson, John W. 17 Zheng, Qingqing 16 Miao, Shu-Xin 16 Reichel, Lothar 16 Wathen, Andrew John 16 Wu, Qingbiao 15 Chen, Fang 15 Fan, Hongtao 15 Tůma, Miroslav 15 Xu, Zhong 14 Chen, Guoliang 14 Liao, Lidan 14 Saad, Yousef 14 Wang, Ligong 14 Wang, Xiang 13 Castelletto, Nicola 13 Durastante, Fabio 13 Estrada, Ernesto 13 Huang, Na 13 Wei, Yimin 13 Xiao, Xiaoyong 13 Zeng, Minli 13 Zheng, Bing 12 Franceschini, Andrea 12 Gambolati, Giuseppe 12 Kressner, Daniel 12 Olshanskii, Maxim A. 12 Toutounian, Faezeh 11 Arrigo, Francesca 11 Dehghan Takht Fooladi, Mehdi 11 Gondzio, Jacek 11 Quarteroni, Alfio M. 11 Schweitzer, Marcel 11 Zhang, Naimin 10 Carpentieri, Bruno 10 Chao, Zhen 10 Chen, Minhong 10 Ke, Yifen 10 Li, Wen 10 Liu, Jun 10 Pini, Giorgio 10 Ren, Zhi-Ru 10 Shirilord, Akbar 9 Bacuta, Constantin 9 Bertaccini, Daniele 9 di Serafino, Daniela 9 Greif, Chen 9 Guo, Xueping 9 Le Borne, Sabine 9 Li, Chengliang 9 Li, Liang 9 Li, Xu 9 Lin, Lin 9 Manguoglu, Murat 9 Ng, Michael Kwok-Po 9 Niu, Qiang 9 Shen, Shuqian 9 Vuik, Cornelis 9 White, Joshua A. 9 Zhang, Jianhua 9 Zhang, Jun 9 Zhu, Muzheng 8 Bollhöfer, Matthias 8 De Simone, Valentina 8 Dou, Yan 8 Higham, Desmond J. 8 Jing, Yanfei 8 Lin, Yiqin 8 MacLachlan, Scott P. 8 Massei, Stefano 8 Morini, Benedetta 8 Neytcheva, Maya G. 8 Pestana, Jennifer 8 Rafiei, Amin 8 Scott, Jennifer A. 8 Shao, Xinhui ...and 2,828 more Authors all top 5 Cited in 268 Serials 163 Journal of Computational and Applied Mathematics 149 Applied Mathematics and Computation 138 Computers & Mathematics with Applications 123 Journal of Computational Physics 123 Numerical Algorithms 120 SIAM Journal on Scientific Computing 95 Linear Algebra and its Applications 81 Computer Methods in Applied Mechanics and Engineering 65 Applied Numerical Mathematics 64 SIAM Journal on Matrix Analysis and Applications 63 Numerical Linear Algebra with Applications 63 Computational and Applied Mathematics 50 International Journal of Computer Mathematics 48 Applied Mathematics Letters 42 BIT 37 Journal of Scientific Computing 32 Numerische Mathematik 32 East Asian Journal on Applied Mathematics 28 Computational Optimization and Applications 27 Calcolo 19 Engineering Analysis with Boundary Elements 18 International Journal for Numerical Methods in Engineering 16 Japan Journal of Industrial and Applied Mathematics 16 ETNA. 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The Electronic Journal of Linear Algebra 6 Mediterranean Journal of Mathematics 6 Communications in Computational Physics 6 AIMS Mathematics 6 Communications on Applied Mathematics and Computation 5 Journal of Optimization Theory and Applications 5 SIAM Journal on Applied Mathematics 5 Communications in Numerical Methods in Engineering 5 Computing and Visualization in Science 5 Archives of Computational Methods in Engineering 5 Mathematical Programming Computation 5 Science China. Mathematics 4 Journal of Engineering Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 European Journal of Operational Research 4 SIAM Journal on Optimization 4 Advances in Engineering Software 4 Filomat 4 Chaos 4 Acta Numerica 4 S\(\vec{\text{e}}\)MA Journal 4 Journal of Applied Analysis and Computation 3 Archive for Rational Mechanics and Analysis 3 Discrete Applied Mathematics 3 International Journal for Numerical and Analytical Methods in Geomechanics 3 Journal of Fluid Mechanics 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Journal of Global Optimization 3 Applied and Computational Harmonic Analysis 3 Multibody System Dynamics 3 Data Mining and Knowledge Discovery 3 Engineering Computations 3 Optimization and Engineering 3 Lobachevskii Journal of Mathematics 3 Applied Mathematics E-Notes 3 International Journal of Computational Methods 3 Journal of Computational Acoustics 3 Statistics and Computing 3 SIAM/ASA Journal on Uncertainty Quantification 2 Acta Mechanica 2 Communications in Mathematical Physics 2 Journal of Mathematical Biology 2 ACM Transactions on Mathematical Software 2 Automatica 2 Demonstratio Mathematica 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Kybernetika 2 Numerical Functional Analysis and Optimization ...and 168 more Serials all top 5 Cited in 48 Fields 1,958 Numerical analysis (65-XX) 365 Fluid mechanics (76-XX) 361 Linear and multilinear algebra; matrix theory (15-XX) 304 Partial differential equations (35-XX) 141 Operations research, mathematical programming (90-XX) 140 Mechanics of deformable solids (74-XX) 136 Calculus of variations and optimal control; optimization (49-XX) 94 Combinatorics (05-XX) 72 Computer science (68-XX) 52 Optics, electromagnetic theory (78-XX) 50 Biology and other natural sciences (92-XX) 42 Probability theory and stochastic processes (60-XX) 37 Operator theory (47-XX) 37 Information and communication theory, circuits (94-XX) 29 Statistical mechanics, structure of matter (82-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Systems theory; control (93-XX) 23 Ordinary differential equations (34-XX) 23 Statistics (62-XX) 20 Approximations and expansions (41-XX) 20 Quantum theory (81-XX) 20 Geophysics (86-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Real functions (26-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 8 Mechanics of particles and systems (70-XX) 6 Difference and functional equations (39-XX) 5 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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