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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

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

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 4,445 times in 2,278 Documents Cited by Year
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
981
2005
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
326
2002
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
265
2004
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
223
2010
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
172
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
151
2013
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
120
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.
113
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
77
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.
66
2003
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
64
2006
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433
Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen
64
2011
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
64
2011
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
64
2004
Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035
Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav
52
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
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
51
2011
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155
Benzi, Michele; Boito, Paola; Razouk, Nader
48
2013
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050
Benzi, Michele; Ng, Michael K.
46
2006
Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034
Benzi, Michele; Razouk, Nader
46
2007
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
46
1999
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
42
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
38
2003
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046
Benzi, Michele; Boito, Paola
37
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
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
29
2003
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
Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047
Benzi, Michele; Tuma, Miroslav
28
2000
Iterative methods for double saddle point systems. Zbl 1391.65062
Ali Beik, Fatemeh Panjeh; Benzi, Michele
28
2018
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
27
2008
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020
Benzi, Michele; Boito, Paola
27
2014
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
25
2015
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041
Benzi, Michele; Haber, Eldad; Taralli, Lauren
21
2011
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
20
2003
Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio
20
2016
Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028
Benzi, Michele; Liu, Jia
18
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
New multigrid smoothers for the Oseen problem. Zbl 1240.76003
Hamilton, Steven; Benzi, Michele; Haber, Eldad
17
2010
Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027
Benzi, Michele; Tůma, Miroslav
15
1998
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079
Beik, Fatemeh Panjeh Ali; Benzi, Michele
15
2018
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
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120
Arrigo, Francesca; Benzi, Michele
14
2016
Computation of generalized matrix functions. Zbl 1342.65121
Arrigo, Francesca; Benzi, Michele; Fenu, Caterina
13
2016
A finite element method for quantum graphs. Zbl 1462.65176
Arioli, Mario; Benzi, Michele
13
2018
What is the meaning of the graph energy after all? Zbl 1368.05094
Estrada, Ernesto; Benzi, Michele
12
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
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
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222
Benzi, Michele; Wang, Zhen
10
2013
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
10
2017
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
10
2008
Some uses of the field of values in numerical analysis. Zbl 1470.65084
Benzi, Michele
9
2021
On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015
Benzi, Michele; Razouk, Nader
8
2007
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
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
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
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
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
Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199
Benzi, Michele; Haber, Eldad; Taralli, Lauren
6
2009
An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav
6
1998
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
Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038
Benzi, Michele; Beik, Fatemeh Panjeh Ali
5
2019
Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052
Benzi, Michele
4
2008
An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263
Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.
4
2007
Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007
Benzi, Michele; Huang, Ru
4
2019
Risk-dependent centrality in economic and financial networks. Zbl 1444.91218
Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto
4
2020
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
Solving cubic matrix equations arising in conservative dynamics. Zbl 1511.37100
Benzi, Michele; Viviani, Milo
3
2023
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
The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948
Benzi, Michele; Dayar, Tuğrul
3
1995
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
Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146
Benzi, M.; Kuhlemann, V.
2
2011
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
\(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031
Zhang, Cheng-Yi; Benzi, Michele
2
2009
Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036
Benzi, Michele; Kuhlemann, Verena
2
2013
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020
Benzi, Michele; Simunec, Igor
2
2022
A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055
Benzi, M.; Sgallari, F.; Spaletta, G.
2
1995
Fast iterative solution of the optimal transport problem on graphs. Zbl 1512.65103
Facca, Enrico; Benzi, Michele
2
2021
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. Zbl 1487.65187
Benzi, Michele; Rinelli, Michele
2
2022
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
3
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
9
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
5
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
28
2018
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079
Beik, Fatemeh Panjeh Ali; Benzi, Michele
15
2018
A finite element method for quantum graphs. Zbl 1462.65176
Arioli, Mario; Benzi, Michele
13
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
12
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
10
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
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078
Estrada, Ernesto; Benzi, Michele
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
20
2016
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120
Arrigo, Francesca; Benzi, Michele
14
2016
Computation of generalized matrix functions. Zbl 1342.65121
Arrigo, Francesca; Benzi, Michele; Fenu, Caterina
13
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
25
2015
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020
Benzi, Michele; Boito, Paola
27
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
151
2013
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155
Benzi, Michele; Boito, Paola; Razouk, Nader
48
2013
Ranking hubs and authorities using matrix functions. Zbl 1258.05067
Benzi, Michele; Estrada, Ernesto; Klymko, Christine
42
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
172
2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433
Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen
64
2011
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
64
2011
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
51
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
223
2010
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046
Benzi, Michele; Boito, Paola
37
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
77
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
120
2008
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
27
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
46
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
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.
113
2006
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
64
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
981
2005
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
265
2004
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
64
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.
66
2003
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
38
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
326
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
52
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.
46
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 top 5

Cited by 2,888 Authors

66 Zhang, Guofeng
52 Ma, Changfeng
49 Benzi, Michele
44 Huang, Ting-Zhu
41 Khojasteh Salkuyeh, Davod
38 Liang, Zhaozheng
34 Wu, Shiliang
33 Li, Cuixia
31 Cao, Yang
27 Ferronato, Massimiliano
26 Wu, Yujiang
25 Yang, Aili
23 Axelsson, Axel Owe Holger
23 Bai, Zhongzhi
23 Huang, Zhengge
23 Simoncini, Valeria
22 Rebholz, Leo G.
21 Stoll, Martin
20 Cui, Jingjing
20 Janna, Carlo
19 Liu, Xiaowei
19 Zhang, Jin
18 Bergamaschi, Luca
18 Szyld, Daniel B.
17 Pearson, John W.
17 Zheng, Qingqing
16 Miao, Shu-Xin
16 Wathen, Andrew John
16 Wu, Qingbiao
15 Chen, Fang
15 Fan, Hongtao
15 Reichel, Lothar
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 Olshanskii, Maxim A.
12 Quarteroni, Alfio M.
12 Toutounian, Faezeh
11 Arrigo, Francesca
11 Dehghan Takht Fooladi, Mehdi
11 Gondzio, Jacek
11 Kressner, Daniel
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 Schweitzer, Marcel
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 2,788 more Authors
all top 5

Cited in 263 Serials

163 Journal of Computational and Applied Mathematics
149 Applied Mathematics and Computation
138 Computers & Mathematics with Applications
123 Journal of Computational Physics
118 SIAM Journal on Scientific Computing
117 Numerical Algorithms
94 Linear Algebra and its Applications
81 Computer Methods in Applied Mechanics and Engineering
65 Applied Numerical Mathematics
63 Numerical Linear Algebra with Applications
63 Computational and Applied Mathematics
62 SIAM Journal on Matrix Analysis and Applications
50 International Journal of Computer Mathematics
48 Applied Mathematics Letters
41 BIT
37 Journal of Scientific Computing
32 Numerische Mathematik
32 East Asian Journal on Applied Mathematics
27 Computational Optimization and Applications
26 Calcolo
19 Engineering Analysis with Boundary Elements
16 International Journal for Numerical Methods in Engineering
15 Computers and Fluids
15 International Journal for Numerical Methods in Fluids
15 Mathematics of Computation
15 ETNA. Electronic Transactions on Numerical Analysis
15 Advances in Computational Mathematics
13 Linear and Multilinear Algebra
13 SIAM Journal on Numerical Analysis
13 Japan Journal of Industrial and Applied Mathematics
13 Mathematical Problems in Engineering
13 Journal of Applied Mathematics and Computing
11 Journal of Applied Mathematics
10 Computing
9 Computational Mechanics
9 Numerical Methods for Partial Differential Equations
9 Optimization Methods & Software
9 Computational Methods in Applied Mathematics
9 Journal of Numerical Mathematics
9 Multiscale Modeling & Simulation
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Mathematics and Computers in Simulation
7 Journal of Inequalities and Applications
7 Computational Geosciences
7 GAMM-Mitteilungen
6 Journal of Mathematical Analysis and Applications
6 Applied Mathematical Modelling
6 SIAM Review
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 Computer Physics Communications
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 ELA. The Electronic Journal of Linear Algebra
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 Physica A
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 Mathematical Methods in the Applied Sciences
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
2 SIAM Journal on Control and Optimization
...and 163 more Serials
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Cited in 47 Fields

1,931 Numerical analysis (65-XX)
361 Fluid mechanics (76-XX)
350 Linear and multilinear algebra; matrix theory (15-XX)
302 Partial differential equations (35-XX)
138 Mechanics of deformable solids (74-XX)
136 Operations research, mathematical programming (90-XX)
134 Calculus of variations and optimal control; optimization (49-XX)
93 Combinatorics (05-XX)
68 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)
36 Information and communication theory, circuits (94-XX)
35 Operator theory (47-XX)
28 Statistical mechanics, structure of matter (82-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Systems theory; control (93-XX)
22 Ordinary differential equations (34-XX)
22 Statistics (62-XX)
20 Approximations and expansions (41-XX)
19 Quantum theory (81-XX)
19 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)

Citations by Year

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