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Author ID: benzi.michele Recent zbMATH articles by "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
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 Mehrmann, Volker
1 Munthe-Kaas, Hans Z.
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.
...and 10 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 4,123 times in 2,112 Documents Cited by Year
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
907
2005
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
303
2002
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
254
2004
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
211
2010
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
163
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
142
2013
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027
Benzi, Michele; Tuma, Miroslav
116
1998
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
114
2008
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
101
2006
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
96
1996
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
82
1999
A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025
Benzi, Michele
69
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.
63
2003
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
63
2006
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
60
2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433
Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen
59
2011
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
58
2004
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048
Benzi, Michele; Szyld, Daniel B.
52
1997
Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035
Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav
50
2000
Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036
Benzi, Michele; Haws, John C.; Tuma, Miroslav
50
2000
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
48
2011
Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034
Benzi, Michele; Razouk, Nader
45
2007
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155
Benzi, Michele; Boito, Paola; Razouk, Nader
45
2013
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
44
1999
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033
Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.
43
1999
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050
Benzi, Michele; Ng, Michael K.
41
2006
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
37
2003
Ranking hubs and authorities using matrix functions. Zbl 1258.05067
Benzi, Michele; Estrada, Ernesto; Klymko, Christine
37
2013
Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037
Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.
36
2001
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046
Benzi, Michele; Boito, Paola
33
2010
On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113
Benzi, Michele; Klymko, Christine
31
2015
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
30
2017
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017
Alléon, Guillaume; Benzi, Michele; Giraud, Luc
28
1997
Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047
Benzi, Michele; Tuma, Miroslav
27
2000
Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114
Benzi, Michele; Wang, Zhen
27
2011
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
26
2003
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020
Benzi, Michele; Boito, Paola
25
2014
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044
Benzi, Michele; Olshanskii, Maxim A.
25
2011
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
24
2008
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
24
2015
An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041
Benzi, Michele; Liu, Jia
20
2007
A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030
Benzi, Michele; Tuma, Miroslav
19
2003
Iterative methods for double saddle point systems. Zbl 1391.65062
Ali Beik, Fatemeh Panjeh; Benzi, Michele
19
2018
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041
Benzi, Michele; Haber, Eldad; Taralli, Lauren
18
2011
Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028
Benzi, Michele; Liu, Jia
17
2007
Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav
17
2001
Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio
16
2016
Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027
Benzi, Michele; Tůma, Miroslav
15
1998
New multigrid smoothers for the Oseen problem. Zbl 1240.76003
Hamilton, Steven; Benzi, Michele; Haber, Eldad
15
2010
Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066
Benzi, M.
14
1993
Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012
Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel
14
1999
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079
Beik, Fatemeh Panjeh Ali; Benzi, Michele
13
2018
Computation of generalized matrix functions. Zbl 1342.65121
Arrigo, Francesca; Benzi, Michele; Fenu, Caterina
12
2016
A finite element method for quantum graphs. Zbl 1462.65176
Arioli, Mario; Benzi, Michele
11
2018
A direct projection method for sparse linear systems. Zbl 0853.65035
Benzi, Michele; Meyer, Carl D.
11
1995
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
11
2017
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120
Arrigo, Francesca; Benzi, Michele
11
2016
Localization in matrix computations: theory and applications. Zbl 1361.65027
Benzi, Michele
10
2016
What is the meaning of the graph energy after all? Zbl 1368.05094
Estrada, Ernesto; Benzi, Michele
10
2017
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222
Benzi, Michele; Wang, Zhen
10
2013
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
9
2008
A direct projection method for Markov chains. Zbl 1062.65011
Benzi, Michele
8
2004
A parallel solver for large-scale Markov chains. Zbl 0997.65006
Benzi, Michele; Tůma, Miroslav
8
2002
Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174
Arrigo, Francesca; Benzi, Michele
8
2016
On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015
Benzi, Michele; Razouk, Nader
8
2007
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
8
2017
Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020
Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor
7
2020
An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav
6
1998
Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199
Benzi, Michele; Haber, Eldad; Taralli, Lauren
6
2009
Preconditioning a mixed discontinuous finite element method for radiation diffusion. Zbl 1164.65359
Warsa, James S.; Benzi, Michele; Wareing, Todd A.; Morel, Jim E.
6
2004
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078
Estrada, Ernesto; Benzi, Michele
6
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.
6
2017
Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030
Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis
6
2019
A note on walk entropies in graphs. Zbl 1285.05162
Benzi, Michele
5
2014
Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388
Benzi, Michele; Uçar, Bora
5
2007
Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040
Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen
5
2012
Some uses of the field of values in numerical analysis. Zbl 1470.65084
Benzi, Michele
5
2021
An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263
Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.
4
2007
Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038
Benzi, Michele; Beik, Fatemeh Panjeh Ali
4
2019
The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948
Benzi, Michele; Dayar, Tuğrul
3
1995
Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052
Benzi, Michele
3
2008
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
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
Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036
Benzi, Michele; Kuhlemann, Verena
2
2013
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
Solution of linear systems from an optimal control problem arising in wind simulation. Zbl 1240.65194
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria
2
2010
A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055
Benzi, M.; Sgallari, F.; Spaletta, G.
2
1995
Risk-dependent centrality in economic and financial networks. Zbl 1444.91218
Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto
2
2020
Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007
Benzi, Michele; Huang, Ru
2
2019
Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146
Benzi, M.; Kuhlemann, V.
2
2011
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
Fast iterative solution of the optimal transport problem on graphs. Zbl 07364356
Facca, Enrico; Benzi, Michele
1
2021
\(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031
Zhang, Cheng-Yi; Benzi, Michele
1
2009
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020
Benzi, Michele; Simunec, Igor
1
2022
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020
Benzi, Michele; Simunec, Igor
1
2022
Some uses of the field of values in numerical analysis. Zbl 1470.65084
Benzi, Michele
5
2021
Fast iterative solution of the optimal transport problem on graphs. Zbl 07364356
Facca, Enrico; Benzi, Michele
1
2021
Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020
Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor
7
2020
Risk-dependent centrality in economic and financial networks. Zbl 1444.91218
Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto
2
2020
Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030
Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis
6
2019
Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038
Benzi, Michele; Beik, Fatemeh Panjeh Ali
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
Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007
Benzi, Michele; Huang, Ru
2
2019
Iterative methods for double saddle point systems. Zbl 1391.65062
Ali Beik, Fatemeh Panjeh; Benzi, Michele
19
2018
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079
Beik, Fatemeh Panjeh Ali; Benzi, Michele
13
2018
A finite element method for quantum graphs. Zbl 1462.65176
Arioli, Mario; Benzi, Michele
11
2018
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
30
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
11
2017
What is the meaning of the graph energy after all? Zbl 1368.05094
Estrada, Ernesto; Benzi, Michele
10
2017
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
8
2017
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078
Estrada, Ernesto; Benzi, Michele
6
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.
6
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
16
2016
Computation of generalized matrix functions. Zbl 1342.65121
Arrigo, Francesca; Benzi, Michele; Fenu, Caterina
12
2016
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120
Arrigo, Francesca; Benzi, Michele
11
2016
Localization in matrix computations: theory and applications. Zbl 1361.65027
Benzi, Michele
10
2016
Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174
Arrigo, Francesca; Benzi, Michele
8
2016
On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113
Benzi, Michele; Klymko, Christine
31
2015
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
24
2015
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020
Benzi, Michele; Boito, Paola
25
2014
A note on walk entropies in graphs. Zbl 1285.05162
Benzi, Michele
5
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
142
2013
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155
Benzi, Michele; Boito, Paola; Razouk, Nader
45
2013
Ranking hubs and authorities using matrix functions. Zbl 1258.05067
Benzi, Michele; Estrada, Ernesto; Klymko, Christine
37
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
5
2012
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
163
2011
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
60
2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433
Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen
59
2011
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
48
2011
Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114
Benzi, Michele; Wang, Zhen
27
2011
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044
Benzi, Michele; Olshanskii, Maxim A.
25
2011
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041
Benzi, Michele; Haber, Eldad; Taralli, Lauren
18
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
211
2010
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046
Benzi, Michele; Boito, Paola
33
2010
New multigrid smoothers for the Oseen problem. Zbl 1240.76003
Hamilton, Steven; Benzi, Michele; Haber, Eldad
15
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
2
2010
A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025
Benzi, Michele
69
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
1
2009
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
114
2008
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
24
2008
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
9
2008
Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052
Benzi, Michele
3
2008
Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034
Benzi, Michele; Razouk, Nader
45
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
17
2007
On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015
Benzi, Michele; Razouk, Nader
8
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.
101
2006
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
63
2006
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050
Benzi, Michele; Ng, Michael K.
41
2006
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
907
2005
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
254
2004
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
58
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.
6
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.
63
2003
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
37
2003
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
26
2003
A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030
Benzi, Michele; Tuma, Miroslav
19
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
303
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.
36
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
50
2000
Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036
Benzi, Michele; Haws, John C.; Tuma, Miroslav
50
2000
Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047
Benzi, Michele; Tuma, Miroslav
27
2000
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
82
1999
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
44
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
116
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
28
1997
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
96
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 top 5

Cited by 2,673 Authors

65 Zhang, Guofeng
51 Ma, Changfeng
47 Benzi, Michele
44 Huang, Ting-Zhu
37 Khojasteh Salkuyeh, Davod
37 Liang, Zhaozheng
32 Wu, Shiliang
31 Cao, Yang
31 Li, Cuixia
25 Ferronato, Massimiliano
24 Wu, Yujiang
23 Bai, Zhongzhi
23 Simoncini, Valeria
23 Yang, Aili
22 Axelsson, Axel Owe Holger
22 Rebholz, Leo G.
21 Huang, Zhengge
18 Cui, Jingjing
18 Stoll, Martin
17 Janna, Carlo
17 Liu, Xiaowei
17 Szyld, Daniel B.
17 Zhang, Jin
16 Bergamaschi, Luca
16 Miao, Shu-Xin
16 Wathen, Andrew John
15 Reichel, Lothar
15 Tůma, Miroslav
15 Wu, Qingbiao
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 Wang, Xiang
13 Castelletto, Nicola
13 Durastante, Fabio
13 Estrada, Ernesto
13 Wei, Yimin
13 Xiao, Xiaoyong
13 Zeng, Minli
13 Zheng, Bing
12 Chen, Fang
12 Olshanskii, Maxim A.
12 Toutounian, Faezeh
11 Arrigo, Francesca
11 Dehghan Takht Fooladi, Mehdi
11 Franceschini, Andrea
11 Gambolati, Giuseppe
11 Huang, Na
11 Zhang, Naimin
10 Chao, Zhen
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 Carpentieri, Bruno
9 di Serafino, Daniela
9 Gondzio, Jacek
9 Guo, Xueping
9 Li, Chengliang
9 Li, Liang
9 Li, Xu
9 Liu, Jun
9 Ng, Michael Kwok-Po
9 Niu, Qiang
9 Shen, Shuqian
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 Le Borne, Sabine
8 Lin, Lin
8 Lin, Yiqin
8 Manguoglu, Murat
8 Massei, Stefano
8 Morini, Benedetta
8 Rafiei, Amin
8 Schweitzer, Marcel
8 Scott, Jennifer A.
8 Shao, Xinhui
8 Vuik, Cornelis
8 Yin, Junfeng
8 Zheng, Zhong
7 Adler, James H.
7 Brenner, Susanne Cecelia
...and 2,573 more Authors
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Cited in 250 Serials

155 Journal of Computational and Applied Mathematics
143 Applied Mathematics and Computation
130 Computers & Mathematics with Applications
115 Numerical Algorithms
112 Journal of Computational Physics
108 SIAM Journal on Scientific Computing
89 Linear Algebra and its Applications
74 Computer Methods in Applied Mechanics and Engineering
63 Numerical Linear Algebra with Applications
60 Applied Numerical Mathematics
59 Computational and Applied Mathematics
56 SIAM Journal on Matrix Analysis and Applications
48 International Journal of Computer Mathematics
45 Applied Mathematics Letters
40 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 Mathematics of Computation
15 International Journal for Numerical Methods in Engineering
15 Advances in Computational Mathematics
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
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Mathematics and Computers in Simulation
8 Computational Mechanics
8 Optimization Methods & Software
8 Computational Methods in Applied Mathematics
7 Journal of Inequalities and Applications
7 Journal of Numerical Mathematics
6 Journal of Mathematical Analysis and Applications
6 Linear and Multilinear Algebra
6 SIAM Review
6 Computational Geosciences
6 Mediterranean Journal of Mathematics
6 AIMS Mathematics
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
5 Mathematical Programming Computation
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 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 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 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 Applications of Mathematics
2 Journal of Global Optimization
2 Journal of Non-Newtonian Fluid Mechanics
...and 150 more Serials
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Cited in 47 Fields

1,791 Numerical analysis (65-XX)
337 Fluid mechanics (76-XX)
329 Linear and multilinear algebra; matrix theory (15-XX)
271 Partial differential equations (35-XX)
130 Mechanics of deformable solids (74-XX)
124 Operations research, mathematical programming (90-XX)
121 Calculus of variations and optimal control; optimization (49-XX)
87 Combinatorics (05-XX)
64 Computer science (68-XX)
46 Optics, electromagnetic theory (78-XX)
45 Biology and other natural sciences (92-XX)
39 Probability theory and stochastic processes (60-XX)
30 Information and communication theory, circuits (94-XX)
28 Operator theory (47-XX)
24 Statistical mechanics, structure of matter (82-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Systems theory; control (93-XX)
20 Ordinary differential equations (34-XX)
20 Approximations and expansions (41-XX)
19 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)
6 Integral equations (45-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 History and biography (01-XX)
3 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
3 Astronomy and astrophysics (85-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
1 Mathematical logic and foundations (03-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 Differential geometry (53-XX)

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