Edit Profile (opens in new tab) Benzi, Michele Compute Distance To: Compute 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: 104 Publications since 1993 7 Contributions as Editor Co-Authors: 105 Co-Authors with 99 Joint Publications 3,563 Co-Co-Authors all top 5 Co-Authors 12 single-authored 13 Tůma, Miroslav 6 Simoncini, Valeria 5 Beik, Fatemeh Panjeh Ali 5 Olshanskii, Maxim A. 5 Wang, Zhen 4 Bai, Zhongzhi 4 Estrada, Ernesto 4 Golub, Gene Howard 4 Szyld, Daniel B. 3 Arrigo, Francesca 3 Bertaccini, Daniele 3 Boito, Paola 3 Chen, Fang 3 Elman, Howard C. 3 Haber, Eldad 3 Kilmer, Misha Elena 3 Razouk, Nader 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 Simunec, Igor 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 Deparis, Simone 1 Durastante, Fabio 1 Evans, Thomas M. 1 Facca, Enrico 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 Kressner, Daniel 1 Liesen, Jörg 1 Livshits, Irene 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 Rinelli, Michele 1 Sgallari, Fiorella 1 Shadid, John N. 1 Slattery, Stuart R. 1 Smooke, Mitchell D. ...and 8 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 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 Journal of Complex Networks 1 Special Matrices 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 97 Numerical analysis (65-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 19 Combinatorics (05-XX) 17 Fluid mechanics (76-XX) 11 Partial differential equations (35-XX) 9 General and overarching topics; collections (00-XX) 6 Operations research, mathematical programming (90-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 Biology and other natural sciences (92-XX) 3 History and biography (01-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 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 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 4,024 times in 2,072 Documents Cited by ▼ Year ▼ Numerical solution of saddle point problems. Zbl 1115.65034Benzi, Michele; Golub, Gene H.; Liesen, Jörg 884 2005 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018Benzi, Michele 297 2002 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 248 2004 Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 209 2010 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 161 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 139 2013 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 115 1998 Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022Benzi, Michele; Bertaccini, Daniele 111 2008 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 97 2006 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 96 1996 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043Benzi, Michele; Tuma, Miroslav 79 1999 A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025Benzi, Michele 69 2009 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015Benzi, Michele; Gander, Martin J.; Golub, Gene H. 62 2003 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033Benzi, Michele; Simoncini, Valeria 61 2006 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 58 2004 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074Benzi, Michele; Guo, Xue-Ping 57 2011 A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen 57 2011 Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048Benzi, Michele; Szyld, Daniel B. 52 1997 Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav 49 2000 Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036Benzi, Michele; Haws, John C.; Tuma, Miroslav 49 2000 Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen 45 2011 Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155Benzi, Michele; Boito, Paola; Razouk, Nader 45 2013 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054Benzi, Michele; Golub, Gene H. 44 1999 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034Benzi, Michele; Razouk, Nader 43 2007 Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. 43 1999 Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050Benzi, Michele; Ng, Michael K. 39 2006 Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043Benzi, Michele; Bertaccini, Daniele 37 2003 Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. 36 2001 Ranking hubs and authorities using matrix functions. Zbl 1258.05067Benzi, Michele; Estrada, Ernesto; Klymko, Christine 34 2013 Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046Benzi, Michele; Boito, Paola 33 2010 On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113Benzi, Michele; Klymko, Christine 31 2015 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048Bai, Zhong-Zhi; Benzi, Michele 28 2017 Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047Benzi, Michele; Tuma, Miroslav 27 2000 Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017Alléon, Guillaume; Benzi, Michele; Giraud, Luc 27 1997 Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114Benzi, Michele; Wang, Zhen 26 2011 Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020Benzi, Michele; Boito, Paola 25 2014 Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044Benzi, Michele; Olshanskii, Maxim A. 25 2011 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005Benzi, Michele; Simoncini, Valeria 24 2015 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528Benzi, Michele; Tůma, Miroslav 24 2003 Some preconditiong techniques for saddle point problems. Zbl 1152.65425Benzi, Michele; Wathen, Andrew J. 23 2008 An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041Benzi, Michele; Liu, Jia 20 2007 A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030Benzi, Michele; Tuma, Miroslav 19 2003 A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041Benzi, Michele; Haber, Eldad; Taralli, Lauren 18 2011 Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 16 2001 Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028Benzi, Michele; Liu, Jia 16 2007 Iterative methods for double saddle point systems. Zbl 1391.65062Ali Beik, Fatemeh Panjeh; Benzi, Michele 16 2018 New multigrid smoothers for the Oseen problem. Zbl 1240.76003Hamilton, Steven; Benzi, Michele; Haber, Eldad 15 2010 Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027Benzi, Michele; Tůma, Miroslav 15 1998 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 15 2016 Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066Benzi, M. 14 1993 Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel 13 1999 A direct projection method for sparse linear systems. Zbl 0853.65035Benzi, Michele; Meyer, Carl D. 11 1995 Computation of generalized matrix functions. Zbl 1342.65121Arrigo, Francesca; Benzi, Michele; Fenu, Caterina 11 2016 Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079Beik, Fatemeh Panjeh Ali; Benzi, Michele 11 2018 Localization in matrix computations: theory and applications. Zbl 1361.65027Benzi, Michele 10 2016 A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222Benzi, Michele; Wang, Zhen 10 2013 Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120Arrigo, Francesca; Benzi, Michele 10 2016 A finite element method for quantum graphs. Zbl 1462.65176Arioli, Mario; Benzi, Michele 10 2018 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 10 2017 An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031Olshanskii, Maxim A.; Benzi, Michele 9 2008 What is the meaning of the graph energy after all? Zbl 1368.05094Estrada, Ernesto; Benzi, Michele 9 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134Benzi, Michele; Simoncini, Valeria 8 2017 A parallel solver for large-scale Markov chains. Zbl 0997.65006Benzi, Michele; Tůma, Miroslav 8 2002 A direct projection method for Markov chains. Zbl 1062.65011Benzi, Michele 8 2004 On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015Benzi, Michele; Razouk, Nader 8 2007 Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174Arrigo, Francesca; Benzi, Michele 8 2016 Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199Benzi, Michele; Haber, Eldad; Taralli, Lauren 6 2009 An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 6 1998 Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E. 6 2004 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 Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078Estrada, Ernesto; Benzi, Michele 6 2017 Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor 6 2020 A note on walk entropies in graphs. Zbl 1285.05162Benzi, Michele 5 2014 Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388Benzi, Michele; Uçar, Bora 5 2007 Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen 5 2012 Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis 5 2019 Some uses of the field of values in numerical analysis. Zbl 1470.65084Benzi, Michele 5 2021 An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D. 4 2007 Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038Benzi, Michele; Beik, Fatemeh Panjeh Ali 3 2019 Risk-dependent centrality in economic and financial networks. Zbl 1444.91218Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto 3 2020 Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052Benzi, Michele 3 2008 The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948Benzi, Michele; Dayar, Tuğrul 3 1995 Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena 3 2019 Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036Benzi, Michele; Kuhlemann, Verena 2 2013 Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953). Zbl 1291.01022Benzi, Michele; Toscano, Elena 2 2014 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 linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria 2 2010 Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146Benzi, M.; Kuhlemann, V. 2 2011 Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Zbl 0963.65508Benzi, Michele; Tůma, Miroslav 1 1996 Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007Benzi, Michele; Huang, Ru 1 2019 Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B. 1 1998 \(P\)-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 Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062Benzi, Michele; Uçar, Bora 1 2017 Rational Krylov methods for fractional diffusion problems on graphs. Zbl 07515293Benzi, Michele; Simunec, Igor 1 2022 Rational Krylov methods for fractional diffusion problems on graphs. Zbl 07515293Benzi, Michele; Simunec, Igor 1 2022 Some uses of the field of values in numerical analysis. Zbl 1470.65084Benzi, Michele 5 2021 Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor 6 2020 Risk-dependent centrality in economic and financial networks. Zbl 1444.91218Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto 3 2020 Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis 5 2019 Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038Benzi, Michele; Beik, Fatemeh Panjeh Ali 3 2019 Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena 3 2019 Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007Benzi, Michele; Huang, Ru 1 2019 Iterative methods for double saddle point systems. Zbl 1391.65062Ali Beik, Fatemeh Panjeh; Benzi, Michele 16 2018 Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079Beik, Fatemeh Panjeh Ali; Benzi, Michele 11 2018 A finite element method for quantum graphs. Zbl 1462.65176Arioli, Mario; Benzi, Michele 10 2018 Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048Bai, Zhong-Zhi; Benzi, Michele 28 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 10 2017 What is the meaning of the graph energy after all? Zbl 1368.05094Estrada, Ernesto; Benzi, Michele 9 2017 Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134Benzi, Michele; Simoncini, Valeria 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 Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078Estrada, Ernesto; Benzi, Michele 6 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 15 2016 Computation of generalized matrix functions. Zbl 1342.65121Arrigo, Francesca; Benzi, Michele; Fenu, Caterina 11 2016 Localization in matrix computations: theory and applications. Zbl 1361.65027Benzi, Michele 10 2016 Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120Arrigo, Francesca; Benzi, Michele 10 2016 Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174Arrigo, Francesca; Benzi, Michele 8 2016 On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113Benzi, Michele; Klymko, Christine 31 2015 Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005Benzi, Michele; Simoncini, Valeria 24 2015 Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020Benzi, Michele; Boito, Paola 25 2014 A note on walk entropies in graphs. Zbl 1285.05162Benzi, Michele 5 2014 Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953). Zbl 1291.01022Benzi, 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 1271.65100Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi 139 2013 Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155Benzi, Michele; Boito, Paola; Razouk, Nader 45 2013 Ranking hubs and authorities using matrix functions. Zbl 1258.05067Benzi, Michele; Estrada, Ernesto; Klymko, Christine 34 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 5 2012 On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang 161 2011 A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074Benzi, Michele; Guo, Xue-Ping 57 2011 A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen 57 2011 Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen 45 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. 25 2011 A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041Benzi, Michele; Haber, Eldad; Taralli, Lauren 18 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 209 2010 Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046Benzi, Michele; Boito, Paola 33 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 69 2009 Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199Benzi, Michele; Haber, Eldad; Taralli, Lauren 6 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 111 2008 Some preconditiong techniques for saddle point problems. Zbl 1152.65425Benzi, Michele; Wathen, Andrew J. 23 2008 An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031Olshanskii, Maxim A.; Benzi, Michele 9 2008 Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052Benzi, Michele 3 2008 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034Benzi, Michele; Razouk, Nader 43 2007 An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041Benzi, Michele; Liu, Jia 20 2007 Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028Benzi, Michele; Liu, Jia 16 2007 On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015Benzi, Michele; Razouk, Nader 8 2007 Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388Benzi, Michele; Uçar, Bora 5 2007 An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D. 4 2007 An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028Benzi, Michele; Olshanskii, Maxim A. 97 2006 On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033Benzi, Michele; Simoncini, Valeria 61 2006 Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050Benzi, Michele; Ng, Michael K. 39 2006 Numerical solution of saddle point problems. Zbl 1115.65034Benzi, Michele; Golub, Gene H.; Liesen, Jörg 884 2005 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 248 2004 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 58 2004 A direct projection method for Markov chains. Zbl 1062.65011Benzi, Michele 8 2004 Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E. 6 2004 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015Benzi, Michele; Gander, Martin J.; Golub, Gene H. 62 2003 Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043Benzi, Michele; Bertaccini, Daniele 37 2003 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528Benzi, Michele; Tůma, Miroslav 24 2003 A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030Benzi, Michele; Tuma, Miroslav 19 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 297 2002 A parallel solver for large-scale Markov chains. Zbl 0997.65006Benzi, Michele; Tůma, Miroslav 8 2002 Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. 36 2001 Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav 16 2001 Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav 49 2000 Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036Benzi, Michele; Haws, John C.; Tuma, Miroslav 49 2000 Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047Benzi, Michele; Tuma, Miroslav 27 2000 A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043Benzi, Michele; Tuma, Miroslav 79 1999 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054Benzi, Michele; Golub, Gene H. 44 1999 Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N. 43 1999 Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel 13 1999 A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027Benzi, Michele; Tuma, Miroslav 115 1998 Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027Benzi, Michele; Tůma, Miroslav 15 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. 52 1997 Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017Alléon, Guillaume; Benzi, Michele; Giraud, Luc 27 1997 A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav 96 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. 11 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. 14 1993 all cited Publications top 5 cited Publications all top 5 Cited by 2,601 Authors 65 Zhang, Guofeng 51 Ma, Changfeng 47 Benzi, Michele 44 Huang, Ting-Zhu 36 Khojasteh Salkuyeh, Davod 36 Liang, Zhaozheng 32 Wu, Shiliang 31 Li, Cuixia 30 Cao, Yang 25 Ferronato, Massimiliano 24 Wu, Yujiang 23 Bai, Zhongzhi 23 Simoncini, Valeria 23 Yang, Aili 22 Axelsson, Axel Owe Holger 21 Huang, Zhengge 21 Rebholz, Leo G. 18 Cui, Jingjing 18 Stoll, Martin 17 Janna, Carlo 17 Szyld, Daniel B. 16 Bergamaschi, Luca 16 Liu, Xiaowei 16 Miao, Shu-Xin 16 Wathen, Andrew John 16 Zhang, Jin 15 Reichel, Lothar 15 Tůma, Miroslav 15 Xu, Zhong 15 Zheng, Qingqing 14 Chen, Guoliang 14 Fan, Hongtao 14 Liao, Lidan 14 Pearson, John W. 14 Saad, Yousef 14 Wang, Ligong 14 Wu, Qingbiao 13 Castelletto, Nicola 13 Durastante, Fabio 13 Estrada, Ernesto 13 Wei, Yimin 13 Zeng, Minli 13 Zheng, Bing 12 Olshanskii, Maxim A. 12 Toutounian, Faezeh 12 Wang, Xiang 11 Dehghan Takht Fooladi, Mehdi 11 Franceschini, Andrea 11 Gambolati, Giuseppe 11 Huang, Na 11 Xiao, Xiaoyong 11 Zhang, Naimin 10 Arrigo, Francesca 10 Chao, Zhen 10 Chen, Fang 10 Chen, Minhong 10 Ke, Yifen 10 Kressner, Daniel 10 Li, Wen 10 Pini, Giorgio 10 Quarteroni, Alfio M. 10 Ren, Zhi-Ru 10 Shirilord, Akbar 9 Bacuta, Constantin 9 Bertaccini, Daniele 9 di Serafino, Daniela 9 Gondzio, Jacek 9 Guo, Xueping 9 Li, Chengliang 9 Li, Liang 9 Li, Xu 9 Ng, Michael Kwok-Po 9 Shen, Shuqian 9 White, Joshua A. 9 Zhang, Jianhua 9 Zhang, Jun 9 Zhu, Muzheng 8 Bollhöfer, Matthias 8 Carpentieri, Bruno 8 De Simone, Valentina 8 Le Borne, Sabine 8 Lin, Lin 8 Lin, Yiqin 8 Manguoglu, Murat 8 Massei, Stefano 8 Morini, Benedetta 8 Niu, Qiang 8 Rafiei, Amin 8 Schweitzer, Marcel 8 Scott, Jennifer A. 8 Vuik, Cornelis 8 Yin, Junfeng 8 Zheng, Zhong 7 Adler, James H. 7 Brenner, Susanne Cecelia 7 Cao, Zhihao 7 Dai, Hua 7 Dou, Yan 7 Gravvanis, George A. 7 Greif, Chen ...and 2,501 more Authors all top 5 Cited in 247 Serials 152 Journal of Computational and Applied Mathematics 143 Applied Mathematics and Computation 125 Computers & Mathematics with Applications 114 Numerical Algorithms 110 Journal of Computational Physics 108 SIAM Journal on Scientific Computing 87 Linear Algebra and its Applications 71 Computer Methods in Applied Mechanics and Engineering 63 Numerical Linear Algebra with Applications 59 Applied Numerical Mathematics 58 Computational and Applied Mathematics 55 SIAM Journal on Matrix Analysis and Applications 47 International Journal of Computer Mathematics 44 Applied Mathematics Letters 38 BIT 35 Journal of Scientific Computing 32 Numerische Mathematik 32 East Asian Journal on Applied Mathematics 26 Computational Optimization and Applications 25 Calcolo 18 Engineering Analysis with Boundary Elements 15 Computers and Fluids 15 International Journal for Numerical Methods in Fluids 15 International Journal for Numerical Methods in Engineering 15 Advances in Computational Mathematics 13 Mathematics of Computation 12 SIAM Journal on Numerical Analysis 12 Japan Journal of Industrial and Applied Mathematics 12 ETNA. Electronic Transactions on Numerical Analysis 12 Mathematical Problems in Engineering 11 Journal of Applied Mathematics 11 Journal of Applied Mathematics and Computing 10 Computing 9 Multiscale Modeling & Simulation 8 Mathematics and Computers in Simulation 8 Computational Mechanics 8 Optimization Methods & Software 8 Computational Methods in Applied Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Journal of Inequalities and Applications 7 Journal of Numerical Mathematics 6 Journal of Mathematical Analysis and Applications 6 SIAM Review 6 Computational Geosciences 6 Mediterranean Journal of Mathematics 6 AIMS Mathematics 5 Linear and Multilinear Algebra 5 SIAM Journal on Applied Mathematics 5 Communications in Numerical Methods in Engineering 5 Archives of Computational Methods in Engineering 5 Communications in Computational Physics 4 Computer Physics Communications 4 Journal of Engineering Mathematics 4 Journal of Fluid Mechanics 4 Journal of Optimization Theory and Applications 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematical Modelling 4 European Journal of Operational Research 4 SIAM Journal on Optimization 4 Advances in Engineering Software 4 Filomat 4 Computing and Visualization in Science 4 Chaos 4 Mathematical Programming Computation 4 Science China. Mathematics 4 S\(\vec{\text{e}}\)MA Journal 4 Journal of Applied Analysis and Computation 4 Communications on Applied Mathematics 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 Mathematical Physics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Applied and Computational Harmonic Analysis 3 ELA. The Electronic Journal of Linear Algebra 3 Engineering Computations 3 Optimization and Engineering 3 Lobachevskii Journal of Mathematics 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 Physica A 2 ACM Transactions on Mathematical Software 2 Automatica 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Kybernetika 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Journal of Computational Mathematics 2 Mathematical and Computer Modelling 2 Journal of Global Optimization 2 Journal of Non-Newtonian Fluid Mechanics 2 Applied Mathematics. Series B (English Edition) 2 Turkish Journal of Mathematics 2 Journal of Mathematical Chemistry ...and 147 more Serials all top 5 Cited in 46 Fields 1,760 Numerical analysis (65-XX) 327 Fluid mechanics (76-XX) 325 Linear and multilinear algebra; matrix theory (15-XX) 261 Partial differential equations (35-XX) 124 Operations research, mathematical programming (90-XX) 123 Mechanics of deformable solids (74-XX) 115 Calculus of variations and optimal control; optimization (49-XX) 85 Combinatorics (05-XX) 63 Computer science (68-XX) 46 Optics, electromagnetic theory (78-XX) 44 Biology and other natural sciences (92-XX) 38 Probability theory and stochastic processes (60-XX) 29 Operator theory (47-XX) 29 Information and communication theory, circuits (94-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Systems theory; control (93-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Ordinary differential equations (34-XX) 21 Approximations and expansions (41-XX) 21 Statistics (62-XX) 16 Geophysics (86-XX) 15 Quantum theory (81-XX) 14 Classical thermodynamics, heat transfer (80-XX) 9 Real functions (26-XX) 7 Functional analysis (46-XX) 7 Mechanics of particles and systems (70-XX) 6 Difference and functional equations (39-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-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 Differential geometry (53-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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