Michele Benzi - Author Profile

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Benzi, Michele

Author ID:	benzi.michele
Published as:	Benzi, Michele; Benzi, M.
Homepage:	http://www.mathcs.emory.edu/~benzi/
External Links:	MGP · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr

Documents Indexed:	119 Publications since 1993, including 3 Additional arXiv Preprints
	7 Contributions as Editor
Co-Authors:	119 Co-Authors with 113 Joint Publications
	4,044 Co-Co-Authors

all top 5

Co-Authors

13	single-authored
13	Tůma, Miroslav
7	Beik, Fatemeh Panjeh Ali
6	Simoncini, Valeria
5	Estrada, Ernesto
5	Olshanskii, Maxim A.
5	Wang, Zhen
4	Bai, Zhongzhi
4	Boito, Paola
4	Golub, Gene Howard
4	Simunec, Igor
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	Razouk, Nader
3	Rinelli, Michele
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	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	Benzi, Margherita
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	Farrell, Patrick E.
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	Leveque, Santolo
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
...and 23 more Co-Authors

all top 5

Serials

20	SIAM Journal on Scientific Computing
12	Linear Algebra and its Applications
10	SIAM Journal on Matrix Analysis and Applications
6	BIT
6	Numerische Mathematik
6	Numerical Linear Algebra with Applications
6	ETNA. Electronic Transactions on Numerical Analysis
5	Numerical Algorithms
3	Computer Methods in Applied Mechanics and Engineering
3	IMA Journal of Numerical Analysis
3	Applied Numerical Mathematics
3	Journal of Complex Networks
2	Journal of Computational Physics
2	Journal of Computational and Applied Mathematics
2	Applied Mathematics Letters
2	SIAM Review
1	Computers and Fluids
1	Computers & Mathematics with Applications
1	Discrete Applied Mathematics
1	International Journal for Numerical Methods in Fluids
1	The Mathematical Intelligencer
1	Calcolo
1	Computing
1	International Statistical Review
1	SIAM Journal on Numerical Analysis
1	Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1	International Journal of Computer Mathematics
1	Communications in Numerical Methods in Engineering
1	Advances in Computational Mathematics
1	Parallel Algorithms and Applications
1	Vietnam Journal of Mathematics
1	Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV
1	Computational Methods in Applied Mathematics
1	Acta Numerica
1	GAMM-Mitteilungen
1	Lecture Notes in Mathematics
1	SIAM Journal on Financial Mathematics
1	Journal of Combinatorics
1	Special Matrices
1	Bollettino dell’Unione Matematica Italiana

all top 5

Fields

106	Numerical analysis (65-XX)
30	Linear and multilinear algebra; matrix theory (15-XX)
23	Combinatorics (05-XX)
19	Fluid mechanics (76-XX)
12	Partial differential equations (35-XX)
9	General and overarching topics; collections (00-XX)
6	Calculus of variations and optimal control; optimization (49-XX)
6	Probability theory and stochastic processes (60-XX)
5	History and biography (01-XX)
5	Operations research, mathematical programming (90-XX)
4	Computer science (68-XX)
4	Biology and other natural sciences (92-XX)
3	Statistical mechanics, structure of matter (82-XX)
2	Operator theory (47-XX)
2	Mechanics of deformable solids (74-XX)
2	Optics, electromagnetic theory (78-XX)
2	Quantum theory (81-XX)
2	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2	Information and communication theory, circuits (94-XX)
1	Group theory and generalizations (20-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Approximations and expansions (41-XX)
1	Functional analysis (46-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

102 Publications have been cited 4,922 times in 2,533 Documents	Cited by ▼	Year ▼
Numerical solution of saddle point problems. Zbl 1115.65034 Benzi, Michele; Golub, Gene H.; Liesen, Jörg	1,096	2005
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018 Benzi, Michele	360	2002
A preconditioner for generalized saddle point problems. Zbl 1082.65034 Benzi, Michele; Golub, Gene H.	282	2004
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang	245	2010
On preconditioned MHSS iteration methods for complex symmetric linear systems. Zbl 1209.65037 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang	190	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	171	2013
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022 Benzi, Michele; Bertaccini, Daniele	134	2008
An augmented Lagrangian-based approach to the Oseen problem. Zbl 1126.76028 Benzi, Michele; Olshanskii, Maxim A.	129	2006
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027 Benzi, Michele; Tuma, Miroslav	122	1998
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019 Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav	106	1996
A comparative study of sparse approximate inverse preconditioners. Zbl 0949.65043 Benzi, Michele; Tuma, Miroslav	90	1999
A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025 Benzi, Michele	85	2009
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074 Benzi, Michele; Guo, Xue-Ping	71	2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433 Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen	71	2011
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015 Benzi, Michele; Gander, Martin J.; Golub, Gene H.	70	2003
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele	69	2004
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria	67	2006
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152 Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen	57	2011
Robust approximate inverse preconditioning for the conjugate gradient method. Zbl 0985.65035 Benzi, Michele; Cullum, Jane K.; Tuma, Miroslav	55	2000
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048 Benzi, Michele; Szyld, Daniel B.	55	1997
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155 Benzi, Michele; Boito, Paola; Razouk, Nader	54	2013
Preconditioning highly indefinite and nonsymmetric matrices. Zbl 0985.65036 Benzi, Michele; Haws, John C.; Tuma, Miroslav	52	2000
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054 Benzi, Michele; Golub, Gene H.	51	1999
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050 Benzi, Michele; Ng, Michael K.	50	2006
Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034 Benzi, Michele; Razouk, Nader	48	2007
Ranking hubs and authorities using matrix functions. Zbl 1258.05067 Benzi, Michele; Estrada, Ernesto; Klymko, Christine	44	2013
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033 Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.	44	1999
Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037 Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.	42	2001
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043 Benzi, Michele; Bertaccini, Daniele	40	2003
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046 Benzi, Michele; Boito, Paola	40	2010
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048 Bai, Zhong-Zhi; Benzi, Michele	40	2017
On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113 Benzi, Michele; Klymko, Christine	38	2015
Some preconditiong techniques for saddle point problems. Zbl 1152.65425 Benzi, Michele; Wathen, Andrew J.	34	2008
Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114 Benzi, Michele; Wang, Zhen	32	2011
Iterative methods for double saddle point systems. Zbl 1391.65062 Ali Beik, Fatemeh Panjeh; Benzi, Michele	32	2018
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528 Benzi, Michele; Tůma, Miroslav	31	2003
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044 Benzi, Michele; Olshanskii, Maxim A.	30	2011
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017 Alléon, Guillaume; Benzi, Michele; Giraud, Luc	30	1997
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020 Benzi, Michele; Boito, Paola	30	2014
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria	28	2015
Orderings for factorized sparse approximate inverse preconditioners. Zbl 0959.65047 Benzi, Michele; Tuma, Miroslav	28	2000
Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212 Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio	27	2016
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041 Benzi, Michele; Haber, Eldad; Taralli, Lauren	24	2011
An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041 Benzi, Michele; Liu, Jia	22	2007
A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030 Benzi, Michele; Tuma, Miroslav	21	2003
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079 Beik, Fatemeh Panjeh Ali; Benzi, Michele	20	2018
A finite element method for quantum graphs. Zbl 1462.65176 Arioli, Mario; Benzi, Michele	19	2018
New multigrid smoothers for the Oseen problem. Zbl 1240.76003 Hamilton, Steven; Benzi, Michele; Haber, Eldad	18	2010
Block preconditioning for saddle point systems with indefinite \((1,1)\) block. Zbl 1123.65028 Benzi, Michele; Liu, Jia	18	2007
Localization in matrix computations: theory and applications. Zbl 1361.65027 Benzi, Michele	18	2016
Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. Zbl 1021.74041 Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav	17	2001
Computation of generalized matrix functions. Zbl 1342.65121 Arrigo, Francesca; Benzi, Michele; Fenu, Caterina	17	2016
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria	16	2017
Solution of equality-constrained quadratic programming problems by a projection iterative method. Zbl 0799.65066 Benzi, M.	15	1993
Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012 Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel	15	1999
Numerical experiments with two approximate inverse preconditioners. Zbl 0909.65027 Benzi, Michele; Tůma, Miroslav	15	1998
Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174 Arrigo, Francesca; Benzi, Michele	15	2016
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120 Arrigo, Francesca; Benzi, Michele	15	2016
What is the meaning of the graph energy after all? Zbl 1368.05094 Estrada, Ernesto; Benzi, Michele	14	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	13	2017
Matrix functions in network analysis. Zbl 1541.05102 Benzi, Michele; Boito, Paola	13	2020
Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020 Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor	12	2020
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222 Benzi, Michele; Wang, Zhen	11	2013
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031 Olshanskii, Maxim A.; Benzi, Michele	11	2008
On the Iwasawa decomposition of a symplectic matrix. Zbl 1118.15015 Benzi, Michele; Razouk, Nader	11	2007
A direct projection method for sparse linear systems. Zbl 0853.65035 Benzi, Michele; Meyer, Carl D.	11	1995
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.	11	2017
Some uses of the field of values in numerical analysis. Zbl 1470.65084 Benzi, Michele	11	2021
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.	8	2004
A parallel solver for large-scale Markov chains. Zbl 0997.65006 Benzi, Michele; Tůma, Miroslav	8	2002
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078 Estrada, Ernesto; Benzi, Michele	8	2017
Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030 Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis	8	2019
Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388 Benzi, Michele; Uçar, Bora	7	2007
Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199 Benzi, Michele; Haber, Eldad; Taralli, Lauren	7	2009
Uzawa-type and augmented Lagrangian methods for double saddle point systems. Zbl 1442.65038 Benzi, Michele; Beik, Fatemeh Panjeh Ali	7	2019
Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. Zbl 1493.65190 Beik, Fatemeh Panjeh Ali; Benzi, Michele	7	2022
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
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
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020 Benzi, Michele; Simunec, Igor	5	2022
Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146 Benzi, M.; Kuhlemann, V.	4	2011
An implicit compact scheme solver for two-dimensional multicomponent flows. Zbl 1177.76263 Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.	4	2007
Splittings of symmetric matrices and a question of Ortega. Zbl 1185.65052 Benzi, Michele	4	2008
Fast iterative solution of the optimal transport problem on graphs. Zbl 1512.65103 Facca, Enrico; Benzi, Michele	4	2021
Risk-dependent centrality in economic and financial networks. Zbl 1444.91218 Bartesaghi, Paolo; Benzi, Michele; Clemente, Gian Paolo; Grassi, Rosanna; Estrada, Ernesto	4	2020
Solving cubic matrix equations arising in conservative dynamics. Zbl 1511.37100 Benzi, Michele; Viviani, Milo	4	2023
Some matrix properties preserved by generalized matrix functions. Zbl 1436.15007 Benzi, Michele; Huang, Ru	4	2019
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.	3	2003
The arithmetic mean method for finding the stationary vector of Markov chains. Zbl 1049.68948 Benzi, Michele; Dayar, Tuğrul	3	1995
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
Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036 Benzi, Michele; Kuhlemann, Verena	3	2013
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. Zbl 1487.65187 Benzi, Michele; Rinelli, Michele	3	2022
Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. Zbl 1433.65065 Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena	3	2019
\(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. Zbl 1191.65031 Zhang, Cheng-Yi; Benzi, Michele	2	2009
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
A parallel block projection method of the Cimmino type for finite Markov chains. Zbl 0862.60055 Benzi, M.; Sgallari, F.; Spaletta, G.	2	1995
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 linear systems of the form \((A+\gamma UU^T)\,x=b\) by preconditioned iterative methods. Zbl 1543.65034 Benzi, Michele; Faccio, Chiara	1	2024
Solving cubic matrix equations arising in conservative dynamics. Zbl 1511.37100 Benzi, Michele; Viviani, Milo	4	2023
Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. Zbl 1493.65190 Beik, Fatemeh Panjeh Ali; Benzi, Michele	7	2022
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020 Benzi, Michele; Simunec, Igor	5	2022
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. Zbl 1487.65187 Benzi, Michele; Rinelli, Michele	3	2022
Some uses of the field of values in numerical analysis. Zbl 1470.65084 Benzi, Michele	11	2021
Fast iterative solution of the optimal transport problem on graphs. Zbl 1512.65103 Facca, Enrico; Benzi, Michele	4	2021
Matrix functions in network analysis. Zbl 1541.05102 Benzi, Michele; Boito, Paola	13	2020
Non-local network dynamics via fractional graph Laplacians. Zbl 1461.90020 Benzi, Michele; Bertaccini, Daniele; Durastante, Fabio; Simunec, Igor	12	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	7	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	32	2018
Block preconditioners for saddle point systems arising from liquid crystal directors modeling. Zbl 1416.65079 Beik, Fatemeh Panjeh Ali; Benzi, Michele	20	2018
A finite element method for quantum graphs. Zbl 1462.65176 Arioli, Mario; Benzi, Michele	19	2018
Book review of: D. Orban and M. Arioli, Iterative solution of symmetric quasi-definite linear systems. Zbl 1417.00013 Benzi, Michele	1	2018
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048 Bai, Zhong-Zhi; Benzi, Michele	40	2017
Approximation of functions of large matrices with Kronecker structure. Zbl 1365.65134 Benzi, Michele; Simoncini, Valeria	16	2017
What is the meaning of the graph energy after all? Zbl 1368.05094 Estrada, Ernesto; Benzi, Michele	14	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	13	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.	11	2017
Core-satellite graphs: clustering, assortativity and spectral properties. Zbl 1353.05078 Estrada, Ernesto; Benzi, Michele	8	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	27	2016
Localization in matrix computations: theory and applications. Zbl 1361.65027 Benzi, Michele	18	2016
Computation of generalized matrix functions. Zbl 1342.65121 Arrigo, Francesca; Benzi, Michele; Fenu, Caterina	17	2016
Updating and downdating techniques for optimizing network communicability. Zbl 1328.05174 Arrigo, Francesca; Benzi, Michele	15	2016
Edge modification criteria for enhancing the communicability of digraphs. Zbl 1336.05120 Arrigo, Francesca; Benzi, Michele	15	2016
On the limiting behavior of parameter-dependent network centrality measures. Zbl 1314.05113 Benzi, Michele; Klymko, Christine	38	2015
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. Zbl 1323.15005 Benzi, Michele; Simoncini, Valeria	28	2015
Decay properties for functions of matrices over \(C^\ast\)-algebras. Zbl 1314.47020 Benzi, Michele; Boito, Paola	30	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	171	2013
Decay properties of spectral projectors with applications to electronic structure. Zbl 1377.65155 Benzi, Michele; Boito, Paola; Razouk, Nader	54	2013
Ranking hubs and authorities using matrix functions. Zbl 1258.05067 Benzi, Michele; Estrada, Ernesto; Klymko, Christine	44	2013
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Zbl 1426.76222 Benzi, Michele; Wang, Zhen	11	2013
Chebyshev acceleration of the GeneRank algorithm. Zbl 1288.65036 Benzi, Michele; Kuhlemann, Verena	3	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	190	2011
A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations. Zbl 1302.65074 Benzi, Michele; Guo, Xue-Ping	71	2011
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. Zbl 1419.76433 Benzi, Michele; Ng, Michael; Niu, Qiang; Wang, Zhen	71	2011
Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations. Zbl 1421.76152 Benzi, Michele; Olshanskii, Maxim A.; Wang, Zhen	57	2011
Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations. Zbl 1298.76114 Benzi, Michele; Wang, Zhen	32	2011
Field-of-values convergence analysis of augmented Lagrangian preconditioners for the linearized Navier-Stokes problem. Zbl 1245.76044 Benzi, Michele; Olshanskii, Maxim A.	30	2011
A preconditioning technique for a class of PDE-constrained optimization problems. Zbl 1293.65041 Benzi, Michele; Haber, Eldad; Taralli, Lauren	24	2011
Restricted additive Schwarz methods for Markov chains. Zbl 1265.60146 Benzi, M.; Kuhlemann, V.	4	2011
Modified HSS iteration methods for a class of complex symmetric linear systems. Zbl 1210.65074 Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang	245	2010
Quadrature rule-based bounds for functions of adjacency matrices. Zbl 1191.65046 Benzi, Michele; Boito, Paola	40	2010
New multigrid smoothers for the Oseen problem. Zbl 1240.76003 Hamilton, Steven; Benzi, Michele; Haber, Eldad	18	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	85	2009
Multilevel algorithms for large-scale interior point methods. Zbl 1205.65199 Benzi, Michele; Haber, Eldad; Taralli, Lauren	7	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	134	2008
Some preconditiong techniques for saddle point problems. Zbl 1152.65425 Benzi, Michele; Wathen, Andrew J.	34	2008
An augmented Lagrangian approach to linearized problems in hydrodynamic stability. Zbl 1162.76031 Olshanskii, Maxim A.; Benzi, Michele	11	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	48	2007
An efficient solver for the incompressible Navier-Stokes equations in rotation form. Zbl 1154.76041 Benzi, Michele; Liu, Jia	22	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	11	2007
Block triangular preconditioners for \(M\)-matrices and Markov chains. Zbl 1171.65388 Benzi, Michele; Uçar, Bora	7	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.	129	2006
On the eigenvalues of a class of saddle point matrices. Zbl 1103.65033 Benzi, Michele; Simoncini, Valeria	67	2006
Preconditioned iterative methods for weighted Toeplitz least squares problems. Zbl 1102.65050 Benzi, Michele; Ng, Michael K.	50	2006
Numerical solution of saddle point problems. Zbl 1115.65034 Benzi, Michele; Golub, Gene H.; Liesen, Jörg	1,096	2005
A preconditioner for generalized saddle point problems. Zbl 1082.65034 Benzi, Michele; Golub, Gene H.	282	2004
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047 Simoncini, Valeria; Benzi, Michele	69	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.	8	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.	70	2003
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043 Benzi, Michele; Bertaccini, Daniele	40	2003
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528 Benzi, Michele; Tůma, Miroslav	31	2003
A robust preconditioner with low memory requirements for large sparse least squares problems. Zbl 1042.65030 Benzi, Michele; Tuma, Miroslav	21	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.	3	2003
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018 Benzi, Michele	360	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.	42	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	55	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	90	1999
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054 Benzi, Michele; Golub, Gene H.	51	1999
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033 Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.	44	1999
Numerical experiments with parallel orderings for ILU preconditioners. Zbl 0923.65012 Benzi, Michele; Joubert, Wayne; Mateescu, Gabriel	15	1999
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027 Benzi, Michele; Tuma, Miroslav	122	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.	55	1997
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Zbl 0895.65017 Alléon, Guillaume; Benzi, Michele; Giraud, Luc	30	1997
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019 Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav	106	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
...and 2 more Documents

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Cited by 3,166 Authors

67	Zhang, Guofeng
54	Benzi, Michele
53	Ma, Changfeng
47	Huang, Ting-Zhu
42	Khojasteh Salkuyeh, Davod
41	Liang, Zhaozheng
36	Wu, Shiliang
34	Li, Cuixia
32	Cao, Yang
29	Ferronato, Massimiliano
28	Wu, Yujiang
28	Yang, Aili
27	Huang, Zhengge
25	Bai, Zhongzhi
25	Rebholz, Leo Gregory
25	Zhang, Jin
24	Cui, Jingjing
24	Stoll, Martin
23	Axelsson, Axel Owe Holger
23	Janna, Carlo
23	Simoncini, Valeria
22	Liu, Xiaowei
20	Bergamaschi, Luca
20	Pearson, John W.
20	Szyld, Daniel B.
20	Wu, Qingbiao
19	Reichel, Lothar
18	Zheng, Qingqing
17	Tůma, Miroslav
17	Wathen, Andrew John
16	Chen, Fang
16	Liao, Lidan
16	Zeng, Minli
15	Fan, Hongtao
15	Farrell, Patrick E.
15	Franceschini, Andrea
15	Huang, Na
15	Wang, Xiang
15	Xiao, Xiaoyong
15	Xu, Zhong
14	Chen, Guoliang
14	Estrada, Ernesto
14	Olshanskii, Maxim A.
14	Saad, Yousef
14	Scott, Jennifer
14	Vuik, Cornelis
14	Wang, Ligong
13	Castelletto, Nicola
13	Durastante, Fabio
13	Schweitzer, Marcel
13	Wei, Yimin
13	Zheng, Bing
12	Carpentieri, Bruno
12	Dehghan Takht Fooladi, Mehdi
12	Gambolati, Giuseppe
12	Gondzio, Jacek
12	Kressner, Daniel
12	MacLachlan, Scott P.
12	Miao, Shu-Xin
12	Quarteroni, Alfio M.
12	Toutounian, Faezeh
12	Zhang, Naimin
11	Arrigo, Francesca
11	Greif, Chen
11	Shirilord, Akbar
10	Chao, Zhen
10	Chen, Minhong
10	di Serafino, Daniela
10	Ke, Yifen
10	Li, Chengliang
10	Li, Liang
10	Li, Wen
10	Liu, Jun
10	Ng, Michael Kwok-Po
10	Pini, Giorgio
10	Ren, Zhi-Ru
10	Wang, Zengqi
10	Xiao, Mengying
10	Zhu, Muzheng
9	Bacuta, Constantin
9	Beik, Fatemeh Panjeh Ali
9	Bertaccini, Daniele
9	De Simone, Valentina
9	Dou, Yan
9	Guo, Xueping
9	Hajarian, Masoud
9	Jing, Yanfei
9	Le Borne, Sabine
9	Li, Xu
9	Manguoglu, Murat
9	Massei, Stefano
9	Neytcheva, Maya G.
9	Niu, Qiang
9	Pestana, Jennifer
9	Serra-Capizzano, Stefano
9	Shen, Shuqian
9	White, Joshua A.
9	Zhang, Jianhua
9	Zhang, Jun
9	Zheng, Zhong
...and 3,066 more Authors

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Cited in 285 Serials

171	Journal of Computational and Applied Mathematics
149	Applied Mathematics and Computation
144	Computers & Mathematics with Applications
133	Numerical Algorithms
129	SIAM Journal on Scientific Computing
127	Journal of Computational Physics
115	Numerical Linear Algebra with Applications
97	Linear Algebra and its Applications
88	Computer Methods in Applied Mechanics and Engineering
69	SIAM Journal on Matrix Analysis and Applications
69	Computational and Applied Mathematics
68	Applied Numerical Mathematics
51	International Journal of Computer Mathematics
50	Applied Mathematics Letters
42	BIT
42	Journal of Scientific Computing
34	Numerische Mathematik
32	East Asian Journal on Applied Mathematics
30	Calcolo
28	International Journal for Numerical Methods in Engineering
28	Computational Optimization and Applications
26	ETNA. Electronic Transactions on Numerical Analysis
20	International Journal for Numerical Methods in Fluids
20	Engineering Analysis with Boundary Elements
17	Computers and Fluids
17	Japan Journal of Industrial and Applied Mathematics
16	Mathematics of Computation
16	Advances in Computational Mathematics
15	Journal of Applied Mathematics and Computing
14	Linear and Multilinear Algebra
13	SIAM Journal on Numerical Analysis
13	Mathematical Problems in Engineering
11	Computer Physics Communications
11	Numerical Methods for Partial Differential Equations
11	Journal of Applied Mathematics
10	Computing
10	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10	Journal of Applied Analysis and Computation
9	Mathematical Methods in the Applied Sciences
9	Computational Mechanics
9	Optimization Methods & Software
9	Computational Methods in Applied Mathematics
9	Journal of Numerical Mathematics
9	Multiscale Modeling & Simulation
8	Mathematics and Computers in Simulation
8	Computational Geosciences
7	Journal of Inequalities and Applications
7	GAMM-Mitteilungen
6	Journal of Mathematical Analysis and Applications
6	Applied Mathematical Modelling
6	SIAM Review
6	ELA. The Electronic Journal of Linear Algebra
6	Chaos
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	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5	SIAM Journal on Applied Mathematics
5	Communications in Numerical Methods in Engineering
5	Computing and Visualization in Science
5	Archives of Computational Methods in Engineering
5	Mathematical Programming Computation
5	Science China. Mathematics
4	Journal of Engineering Mathematics
4	ACM Transactions on Mathematical Software
4	Information Sciences
4	European Journal of Operational Research
4	SIAM Journal on Optimization
4	Advances in Engineering Software
4	Filomat
4	Optimization and Engineering
4	Acta Numerica
4	S\(\vec{\text{e}}\)MA Journal
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	Optimal Control Applications & Methods
3	Applications of Mathematics
3	Journal of Global Optimization
3	Applied and Computational Harmonic Analysis
3	Multibody System Dynamics
3	Data Mining and Knowledge Discovery
3	Engineering Computations
3	Lobachevskii Journal of Mathematics
3	Applied Mathematics E-Notes
3	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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	Automatica
2	Demonstratio Mathematica
...and 185 more Serials

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Cited in 48 Fields

2,146	Numerical analysis (65-XX)
403	Fluid mechanics (76-XX)
391	Linear and multilinear algebra; matrix theory (15-XX)
328	Partial differential equations (35-XX)
155	Mechanics of deformable solids (74-XX)
153	Operations research, mathematical programming (90-XX)
151	Calculus of variations and optimal control; optimization (49-XX)
103	Combinatorics (05-XX)
81	Computer science (68-XX)
58	Biology and other natural sciences (92-XX)
53	Optics, electromagnetic theory (78-XX)
49	Probability theory and stochastic processes (60-XX)
38	Information and communication theory, circuits (94-XX)
37	Operator theory (47-XX)
31	Statistical mechanics, structure of matter (82-XX)
30	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29	Systems theory; control (93-XX)
26	Ordinary differential equations (34-XX)
26	Statistics (62-XX)
23	Quantum theory (81-XX)
20	Approximations and expansions (41-XX)
20	Geophysics (86-XX)
14	Classical thermodynamics, heat transfer (80-XX)
12	Real functions (26-XX)
10	Dynamical systems and ergodic theory (37-XX)
9	Functional analysis (46-XX)
9	Mechanics of particles and systems (70-XX)
7	Special functions (33-XX)
6	Difference and functional equations (39-XX)
6	Integral equations (45-XX)
6	Global analysis, analysis on manifolds (58-XX)
5	Harmonic analysis on Euclidean spaces (42-XX)
4	Integral transforms, operational calculus (44-XX)
3	History and biography (01-XX)
3	Functions of a complex variable (30-XX)
3	Astronomy and astrophysics (85-XX)
2	Number theory (11-XX)
2	Group theory and generalizations (20-XX)
2	Differential geometry (53-XX)
1	General and overarching topics; collections (00-XX)
1	Field theory and polynomials (12-XX)
1	Commutative algebra (13-XX)
1	\(K\)-theory (19-XX)
1	Topological groups, Lie groups (22-XX)
1	Measure and integration (28-XX)
1	Abstract harmonic analysis (43-XX)
1	Convex and discrete geometry (52-XX)
1	General topology (54-XX)

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