×

zbMATH — the first resource for mathematics

Benzi, Michele

Compute Distance To:
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
Documents Indexed: 108 Publications since 1993, including 3 Books
all top 5

Co-Authors

12 single-authored
13 Tůma, Miroslav
6 Simoncini, Valeria
5 Olshanskii, Maxim A.
5 Wang, Zhen
4 Bai, Zhongzhi
4 Beik, Fatemeh Panjeh Ali
4 Estrada, Ernesto
4 Golub, Gene Howard
4 Szyld, Daniel B.
3 Arrigo, Francesca
3 Bertaccini, Daniele
3 Boito, Paola
3 Chen, Fang
3 Elman, Howard C.
3 Haber, Eldad
3 Kilmer, Misha E.
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 Taralli, Lauren
2 Tuminaro, Ray S.
2 Uçar, Bora
2 Walker, Homer F.
2 Wareing, Todd A.
2 Warsa, James S.
2 Woodward, Carol S.
2 Yavneh, Irad
1 Alléon, Guillaume
1 Arioli, Mario
1 Aurentz, Jared Lee
1 Austin, Anthony P.
1 Bai, Zhaojun
1 Bartesaghi, Paolo
1 Chaparpordi, Sayyed-Hasan Azizi
1 Choi, Hwajeong
1 Clemente, Gian Paolo
1 Cullum, Jane K.
1 Cvetković, Ljiljana
1 Dayar, Tugrul
1 DeLong, Michael
1 Deparis, Simone
1 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 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 Sgallari, Fiorella
1 Shadid, John N.
1 Simunec, Igor
1 Slattery, Stuart R.
1 Smooke, Mitchell D.
1 Spaletta, Giulia
1 Sun, Xiaobai
1 Toscano, Elena
...and 4 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 3,567 times in 1,829 Documents Cited by Year
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
791
2005
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
266
2002
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
221
2004
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
176
2010
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
138
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
127
2013
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027
Benzi, Michele; Tuma, Miroslav
108
1998
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
Benzi, Michele; Bertaccini, Daniele
98
2008
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
91
1996
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
81
2006
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
78
1999
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
57
2006
A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025
Benzi, Michele
56
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.
55
2003
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
54
2004
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
54
2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433
Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen
52
2011
Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035
Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav
48
2000
Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036
Benzi, Michele; Haws, John C.; Tuma, Miroslav
47
2000
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048
Benzi, Michele; Szyld, Daniel B.
44
1997
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033
Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.
42
1999
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155
Benzi, Michele; Boito, Paola; Razouk, Nader
41
2013
Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034
Benzi, Michele; Razouk, Nader
38
2007
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
38
2011
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
37
1999
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
36
2003
Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037
Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.
35
2001
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050
Benzi, Michele; Ng, Michael K.
34
2006
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046
Benzi, Michele; Boito, Paola
31
2010
Ranking hubs and authorities using matrix functions. Zbl 1258.05067
Benzi, Michele; Estrada, Ernesto; Klymko, Christine
29
2013
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017
Alléon, Guillaume; Benzi, Michele; Giraud, Luc
26
1997
Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114
Benzi, Michele; Wang, Zhen
26
2011
Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047
Benzi, Michele; Tuma, Miroslav
25
2000
On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113
Benzi, Michele; Klymko, Christine
24
2015
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
23
2017
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
22
2003
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044
Benzi, Michele; Olshanskii, Maxim A.
22
2011
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020
Benzi, Michele; Boito, Paola
21
2014
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
21
2015
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
19
2008
An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041
Benzi, Michele; Liu, Jia
18
2007
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041
Benzi, Michele; Haber, Eldad; Taralli, Lauren
17
2011
A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030
Benzi, Michele; Tuma, Miroslav
16
2003
Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028
Benzi, Michele; Liu, Jia
16
2007
Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav
15
2001
New multigrid smoothers for the Oseen problem. Zbl 1240.76003
Hamilton, Steven; Benzi, Michele; Haber, Eldad
15
2010
Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027
Benzi, Michele; Tůma, Miroslav
14
1998
Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066
Benzi, M.
13
1993
Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012
Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel
12
1999
A direct projection method for sparse linear systems. Zbl 0853.65035
Benzi, Michele; Meyer, Carl D.
10
1995
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222
Benzi, Michele; Wang, Zhen
10
2013
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
10
2017
Computation of generalized matrix functions. Zbl 1342.65121
Arrigo, Francesca; Benzi, Michele; Fenu, Caterina
9
2016
Iterative methods for double saddle point systems. Zbl 1391.65062
Ali Beik, Fatemeh Panjeh; Benzi, Michele
9
2018
Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio
9
2016
A parallel solver for large-scale Markov chains. Zbl 0997.65006
Benzi, Michele; Tůma, Miroslav
8
2002
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
8
2008
Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174
Arrigo, Francesca; Benzi, Michele
8
2016
A direct projection method for Markov chains. Zbl 1062.65011
Benzi, Michele
7
2004
On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015
Benzi, Michele; Razouk, Nader
7
2007
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120
Arrigo, Francesca; Benzi, Michele
7
2016
A finite element method for quantum graphs. Zbl 1462.65176
Arioli, Mario; Benzi, Michele
7
2018
What is the meaning of the graph energy after all? Zbl 1368.05094
Estrada, Ernesto; Benzi, Michele
7
2017
An assessment of some preconditioning techniques in shell problems. Zbl 0920.73348
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav
6
1998
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
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
Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199
Benzi, Michele; Haber, Eldad; Taralli, Lauren
5
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.
5
2004
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079
Beik, Fatemeh Panjeh Ali; Benzi, Michele
5
2018
Localization in matrix computations: theory and applications. Zbl 1361.65027
Benzi, Michele
5
2016
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078
Estrada, Ernesto; Benzi, Michele
5
2017
A note on walk entropies in graphs. Zbl 1285.05162
Benzi, Michele
4
2014
Assessment of a vorticity based solver for the Navier-Stokes equations. Zbl 1352.76040
Benzi, Michele; Olshanskii, Maxim A.; Rebholz, Leo G.; Wang, Zhen
4
2012
The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948
Benzi, Michele; Dayar, Tuğrul
3
1995
An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263
Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.
3
2007
Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388
Benzi, Michele; Uçar, Bora
3
2007
Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030
Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis
3
2019
A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055
Benzi, M.; Sgallari, F.; Spaletta, G.
2
1995
Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052
Benzi, Michele
2
2008
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
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
Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146
Benzi, M.; Kuhlemann, V.
2
2011
Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036
Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B.
1
1998
Approximate inverse preconditioning for the conjugate gradient method on a vector computer. Zbl 0963.65508
Benzi, Michele; Tůma, Miroslav
1
1996
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.
1
2003
\(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031
Zhang, Cheng-Yi; Benzi, Michele
1
2009
Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062
Benzi, Michele; Uçar, Bora
1
2017
Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065
Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena
1
2019
Some uses of the field of values in numerical analysis. Zbl 1470.65084
Benzi, Michele
1
2021
Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020
Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor
1
2020
Some uses of the field of values in numerical analysis. Zbl 1470.65084
Benzi, Michele
1
2021
Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020
Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor
1
2020
Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030
Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis
3
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
1
2019
Iterative methods for double saddle point systems. Zbl 1391.65062
Ali Beik, Fatemeh Panjeh; Benzi, Michele
9
2018
A finite element method for quantum graphs. Zbl 1462.65176
Arioli, Mario; Benzi, Michele
7
2018
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079
Beik, Fatemeh Panjeh Ali; Benzi, Michele
5
2018
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
23
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
10
2017
What is the meaning of the graph energy after all? Zbl 1368.05094
Estrada, Ernesto; Benzi, Michele
7
2017
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134
Benzi, Michele; Simoncini, Valeria
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
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078
Estrada, Ernesto; Benzi, Michele
5
2017
Preconditioning techniques based on the Birkhoff-von Neumann decomposition. Zbl 1359.65062
Benzi, Michele; Uçar, Bora
1
2017
Computation of generalized matrix functions. Zbl 1342.65121
Arrigo, Francesca; Benzi, Michele; Fenu, Caterina
9
2016
Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio
9
2016
Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174
Arrigo, Francesca; Benzi, Michele
8
2016
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120
Arrigo, Francesca; Benzi, Michele
7
2016
Localization in matrix computations: theory and applications. Zbl 1361.65027
Benzi, Michele
5
2016
On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113
Benzi, Michele; Klymko, Christine
24
2015
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005
Benzi, Michele; Simoncini, Valeria
21
2015
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020
Benzi, Michele; Boito, Paola
21
2014
A note on walk entropies in graphs. Zbl 1285.05162
Benzi, Michele
4
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
127
2013
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155
Benzi, Michele; Boito, Paola; Razouk, Nader
41
2013
Ranking hubs and authorities using matrix functions. Zbl 1258.05067
Benzi, Michele; Estrada, Ernesto; Klymko, Christine
29
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
4
2012
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang
138
2011
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074
Benzi, Michele; Guo, Xue-Ping
54
2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433
Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen
52
2011
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152
Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen
38
2011
Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114
Benzi, Michele; Wang, Zhen
26
2011
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044
Benzi, Michele; Olshanskii, Maxim A.
22
2011
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041
Benzi, Michele; Haber, Eldad; Taralli, Lauren
17
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
176
2010
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046
Benzi, Michele; Boito, Paola
31
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
56
2009
Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199
Benzi, Michele; Haber, Eldad; Taralli, Lauren
5
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
98
2008
Some preconditiong techniques for saddle point problems. Zbl 1152.65425
Benzi, Michele; Wathen, Andrew J.
19
2008
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031
Olshanskii, Maxim A.; Benzi, Michele
8
2008
Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052
Benzi, Michele
2
2008
Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034
Benzi, Michele; Razouk, Nader
38
2007
An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041
Benzi, Michele; Liu, Jia
18
2007
Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028
Benzi, Michele; Liu, Jia
16
2007
On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015
Benzi, Michele; Razouk, Nader
7
2007
An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263
Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.
3
2007
Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388
Benzi, Michele; Uçar, Bora
3
2007
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028
Benzi, Michele; Olshanskii, Maxim A.
81
2006
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033
Benzi, Michele; Simoncini, Valeria
57
2006
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050
Benzi, Michele; Ng, Michael K.
34
2006
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
791
2005
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
221
2004
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
54
2004
A direct projection method for Markov chains. Zbl 1062.65011
Benzi, Michele
7
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.
5
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.
55
2003
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
36
2003
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
22
2003
A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030
Benzi, Michele; Tuma, Miroslav
16
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.
1
2003
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
266
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.
35
2001
Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav
15
2001
Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035
Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav
48
2000
Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036
Benzi, Michele; Haws, John C.; Tuma, Miroslav
47
2000
Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047
Benzi, Michele; Tuma, Miroslav
25
2000
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043
Benzi, Michele; Tuma, Miroslav
78
1999
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033
Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.
42
1999
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
37
1999
Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012
Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel
12
1999
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027
Benzi, Michele; Tuma, Miroslav
108
1998
Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027
Benzi, Michele; Tůma, Miroslav
14
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.
44
1997
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017
Alléon, Guillaume; Benzi, Michele; Giraud, Luc
26
1997
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
91
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.
10
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.
13
1993
all top 5

Cited by 2,265 Authors

63 Zhang, Guofeng
48 Ma, Changfeng
44 Huang, Ting-Zhu
43 Benzi, Michele
34 Liang, Zhaozheng
29 Cao, Yang
29 Khojasteh Salkuyeh, Davod
28 Wu, Shiliang
27 Li, Cuixia
23 Bai, Zhongzhi
23 Wu, Yujiang
22 Yang, Aili
21 Ferronato, Massimiliano
20 Axelsson, Axel Owe Holger
20 Simoncini, Valeria
19 Rebholz, Leo G.
17 Huang, Zhengge
17 Stoll, Martin
16 Bergamaschi, Luca
16 Szyld, Daniel B.
15 Cui, Jingjing
15 Janna, Carlo
14 Chen, Guoliang
14 Fan, Hongtao
14 Liu, Xiaowei
14 Pearson, John W.
14 Reichel, Lothar
14 Tůma, Miroslav
14 Wathen, Andrew John
14 Xu, Zhong
14 Zhang, Jin
14 Zheng, Qingqing
13 Liao, Lidan
13 Saad, Yousef
13 Wang, Ligong
13 Wei, Yimin
12 Miao, Shu-Xin
12 Olshanskii, Maxim A.
12 Zheng, Bing
11 Castelletto, Nicola
11 Gambolati, Giuseppe
11 Huang, Na
11 Zeng, Minli
11 Zhang, Naimin
10 Chao, Zhen
10 Durastante, Fabio
10 Estrada, Ernesto
10 Li, Wen
10 Pini, Giorgio
10 Ren, Zhi-Ru
10 Toutounian, Faezeh
9 Bacuta, Constantin
9 Chen, Fang
9 Gondzio, Jacek
9 Guo, Xueping
9 Kressner, Daniel
9 Li, Chengliang
9 Li, Liang
9 Ng, Michael Kwok-Po
9 Shen, Shuqian
9 Wang, Xiang
9 Wu, Qingbiao
9 Zhang, Jianhua
9 Zhang, Jun
9 Zhu, Muzheng
8 Arrigo, Francesca
8 Bertaccini, Daniele
8 Bollhöfer, Matthias
8 Carpentieri, Bruno
8 De Simone, Valentina
8 di Serafino, Daniela
8 Franceschini, Andrea
8 Ke, Yifen
8 Le Borne, Sabine
8 Lin, Lin
8 Lin, Yiqin
8 Morini, Benedetta
8 Niu, Qiang
8 Quarteroni, Alfio M.
8 Rafiei, Amin
8 White, Joshua A.
7 Brenner, Susanne Cecelia
7 Cao, Zhihao
7 Chen, Minhong
7 Dai, Hua
7 Dou, Yan
7 Gravvanis, George A.
7 Jing, Yanfei
7 Li, Xu
7 Neytcheva, Maya G.
7 Peng, Xiaofei
7 Pestana, Jennifer
7 Schweitzer, Marcel
7 Zhu, Xinyun
6 Adler, James H.
6 Bellavia, Stefania
6 Chehab, Jean-Paul
6 Edalatpanah, Seyyed Ahmad
6 Fika, Paraskevi
6 Greif, Chen
...and 2,165 more Authors
all top 5

Cited in 216 Serials

147 Journal of Computational and Applied Mathematics
134 Applied Mathematics and Computation
115 Computers & Mathematics with Applications
106 Numerical Algorithms
98 Journal of Computational Physics
95 SIAM Journal on Scientific Computing
82 Linear Algebra and its Applications
63 Numerical Linear Algebra with Applications
57 Computer Methods in Applied Mechanics and Engineering
55 Applied Numerical Mathematics
50 SIAM Journal on Matrix Analysis and Applications
47 Computational and Applied Mathematics
44 Applied Mathematics Letters
36 BIT
34 International Journal of Computer Mathematics
32 Journal of Scientific Computing
31 Numerische Mathematik
25 Computational Optimization and Applications
25 East Asian Journal on Applied Mathematics
21 Calcolo
17 Engineering Analysis with Boundary Elements
15 International Journal for Numerical Methods in Fluids
15 International Journal for Numerical Methods in Engineering
13 Computers and Fluids
12 Mathematics of Computation
12 SIAM Journal on Numerical Analysis
12 Advances in Computational Mathematics
12 Mathematical Problems in Engineering
11 Japan Journal of Industrial and Applied Mathematics
11 Journal of Applied Mathematics
10 Computing
9 Journal of Applied Mathematics and Computing
9 Multiscale Modeling & Simulation
8 ETNA. Electronic Transactions on Numerical Analysis
8 Optimization Methods & Software
7 Computational Mechanics
6 Mathematics and Computers in Simulation
5 Journal of Mathematical Analysis and Applications
5 SIAM Review
5 Communications in Numerical Methods in Engineering
5 Journal of Inequalities and Applications
5 Archives of Computational Methods in Engineering
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computer Physics Communications
4 Journal of Engineering Mathematics
4 Linear and Multilinear Algebra
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematical Modelling
4 SIAM Journal on Applied Mathematics
4 SIAM Journal on Optimization
4 Advances in Engineering Software
4 Computing and Visualization in Science
4 Chaos
4 Computational Geosciences
4 Computational Methods in Applied Mathematics
4 Journal of Numerical Mathematics
4 Mediterranean Journal of Mathematics
4 Mathematical Programming Computation
4 Science China. Mathematics
4 Journal of Applied Analysis and Computation
3 Discrete Applied Mathematics
3 International Journal for Numerical and Analytical Methods in Geomechanics
3 Journal of Mathematical Physics
3 Journal of Optimization Theory and Applications
3 Applied and Computational Harmonic Analysis
3 ELA. The Electronic Journal of Linear Algebra
3 Engineering Computations
3 Lobachevskii Journal of Mathematics
3 Journal of Computational Acoustics
3 Statistics and Computing
3 SIAM/ASA Journal on Uncertainty Quantification
2 Acta Mechanica
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Journal of Fluid Mechanics
2 ACM Transactions on Mathematical Software
2 Information Sciences
2 International Journal of Mathematics and Mathematical Sciences
2 Kybernetika
2 Numerical Functional Analysis and Optimization
2 Optimal Control Applications & Methods
2 Mathematical and Computer Modelling
2 Journal of Global Optimization
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 European Journal of Operational Research
2 Journal of Non-Newtonian Fluid Mechanics
2 Applied Mathematics. Series B (English Edition)
2 Turkish Journal of Mathematics
2 Journal of Mathematical Chemistry
2 Parallel Algorithms and Applications
2 Multibody System Dynamics
2 Vietnam Journal of Mathematics
2 Abstract and Applied Analysis
2 The ANZIAM Journal
2 Foundations of Computational Mathematics
2 Applied Mathematics E-Notes
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 International Journal of Computational Methods
2 Acta Numerica
2 GAMM-Mitteilungen
...and 116 more Serials
all top 5

Cited in 45 Fields

1,567 Numerical analysis (65-XX)
282 Linear and multilinear algebra; matrix theory (15-XX)
281 Fluid mechanics (76-XX)
232 Partial differential equations (35-XX)
108 Operations research, mathematical programming (90-XX)
107 Mechanics of deformable solids (74-XX)
101 Calculus of variations and optimal control; optimization (49-XX)
67 Combinatorics (05-XX)
51 Computer science (68-XX)
42 Optics, electromagnetic theory (78-XX)
37 Probability theory and stochastic processes (60-XX)
35 Biology and other natural sciences (92-XX)
23 Operator theory (47-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Ordinary differential equations (34-XX)
21 Information and communication theory, circuits (94-XX)
20 Statistics (62-XX)
18 Approximations and expansions (41-XX)
18 Systems theory; control (93-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Quantum theory (81-XX)
13 Geophysics (86-XX)
11 Classical thermodynamics, heat transfer (80-XX)
7 Real functions (26-XX)
7 Functional analysis (46-XX)
6 Mechanics of particles and systems (70-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Difference and functional equations (39-XX)
5 Integral equations (45-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 History and biography (01-XX)
3 Special functions (33-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Astronomy and astrophysics (85-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-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. Updates and corrections should be made in Wikidata.