Michele Benzi
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Italian mathematician
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Michele Benzimathematics Degrees
Mathematics
#4176
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#5987
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Applied Mathematics
#180
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#198
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Measure Theory
#2103
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#2545
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Mathematics
Michele Benzi's Degrees
- PhD Mathematics University of Bologna
Why Is Michele Benzi Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michele Benzi is an Italian mathematician who works as a full professor in the Scuola Normale Superiore in Pisa. He is known for his contributions to numerical linear algebra and its applications, especially to the solution of sparse linear systems and the study of preconditioners.
Michele Benzi's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Numerical solution of saddle point problems (2005) (2228)
- Preconditioning techniques for large linear systems: a survey (2002) (1271)
- A Preconditioner for Generalized Saddle Point Problems (2004) (432)
- A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method (1996) (418)
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems (1998) (333)
- Modified HSS iteration methods for a class of complex symmetric linear systems (2010) (305)
- A comparative study of sparse approximate inverse preconditioners (1999) (296)
- The Physics of Communicability in Complex Networks (2011) (266)
- An Augmented Lagrangian-Based Approach to the Oseen Problem (2006) (233)
- On preconditioned MHSS iteration methods for complex symmetric linear systems (2011) (229)
- Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method (2000) (208)
- TM-LDA: efficient online modeling of latent topic transitions in social media (2012) (204)
- Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems (2013) (190)
- Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems (1999) (169)
- Total communicability as a centrality measure (2013) (166)
- Block preconditioning of real-valued iterative algorithms for complex linear systems (2007) (165)
- Preconditioning Highly Indefinite and Nonsymmetric Matrices (2000) (151)
- Ranking hubs and authorities using matrix functions (2012) (141)
- Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics (1997) (133)
- Decay Properties of Spectral Projectors with Applications to Electronic Structure (2012) (132)
- Bounds for the Entries of Matrix Functions with Applications to Preconditioning (1999) (131)
- On the eigenvalues of a class of saddle point matrices (2006) (130)
- On the Limiting Behavior of Parameter-Dependent Network Centrality Measures (2013) (123)
- A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration (2009) (122)
- Modified augmented Lagrangian preconditioners for the incompressible Navier–Stokes equations (2011) (121)
- A robust incomplete factorization preconditioner for positive definite matrices (2003) (115)
- Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods (1997) (114)
- Optimization of the Hermitian and Skew-Hermitian Splitting Iteration for Saddle-Point Problems (2003) (111)
- Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems (2005) (109)
- A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations (2011) (106)
- DECAY BOUNDS AND ( ) ALGORITHMS FOR APPROXIMATING FUNCTIONS OF SPARSE MATRICES (2007) (100)
- A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations (2011) (98)
- Orderings for Factorized Sparse Approximate Inverse Preconditioners (1999) (94)
- Algebraic theory of multiplicative Schwarz methods (2001) (88)
- Some Preconditioning Techniques for Saddle Point Problems (2008) (85)
- Approximate Inverse Preconditioning for Shifted Linear Systems (2003) (83)
- Quadrature rule-based bounds for functions of adjacency matrices (2010) (76)
- Preconditioned Iterative Methods for Weighted Toeplitz Least Squares Problems (2005) (73)
- A Robust Preconditioner with Low Memory Requirements for Large Sparse Least Squares Problems (2003) (61)
- Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics (2001) (59)
- Walk-based measure of balance in signed networks: detecting lack of balance in social networks. (2014) (54)
- Numerical experiments with parallel orderings for ILU preconditioners. (1999) (51)
- A preconditioning technique for a class of PDE-constrained optimization problems (2011) (51)
- A parallel solver for large-scale Markov chains (2002) (48)
- Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem (2011) (48)
- Regularized HSS iteration methods for saddle-point linear systems (2017) (48)
- Analysis of Augmented Lagrangian-Based Preconditioners for the Steady Incompressible Navier-Stokes Equations (2011) (48)
- A Direct Projection Method for Sparse Linear Systems (1995) (47)
- Decay properties for functions of matrices over C⁎-algebras (2013) (45)
- Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure (2015) (42)
- An Efficient Solver for the Incompressible Navier-Stokes Equations in Rotation Form (2007) (42)
- Numerical experiments with two approximate inverse preconditioners (1998) (41)
- Iterative Methods for Double Saddle Point Systems (2018) (39)
- Block preconditioning for saddle point systems with indefinite (1, 1) block (2007) (39)
- A matrix analysis of different centrality measures (2013) (37)
- Updating and Downdating Techniques for Optimizing Network Communicability (2014) (35)
- New multigrid smoothers for the Oseen problem (2010) (32)
- Parameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics (2016) (32)
- Localization in Matrix Computations: Theory and Applications (2016) (32)
- A finite element method for quantum graphs (2018) (32)
- A Two-Level Parallel Preconditioner Based on Sparse Approximate Inverses (1999) (31)
- Edge Modification Criteria for Enhancing the Communicability of Digraphs (2015) (30)
- AN ASSESSMENT OF SOME PRECONDITIONING TECHNIQUES IN SHELL PROBLEMS (1998) (30)
- Numerical Solution of Markov Chains (2011) (30)
- Computation of Generalized Matrix Functions (2015) (29)
- GIANFRANCO CIMMINO'S CONTRIBUTIONS TO NUMERICAL MATHEMATICS (2004) (28)
- Approximation of functions of large matrices with Kronecker structure (2015) (27)
- Matrix functions in network analysis (2020) (27)
- Preconditioning a mixed discontinuous finite element method for radiation diffusion (2004) (26)
- What is the meaning of the graph energy after all? (2017) (25)
- Analysis of Monte Carlo accelerated iterative methods for sparse linear systems (2017) (23)
- An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability (2008) (22)
- On the Iwasawa decomposition of a symplectic matrix (2007) (22)
- NEGATIVE FLUX FIXUPS IN DISCONTINOUS FINITE ELEMENT SN TRANSPORT (2009) (21)
- Non-local network dynamics via fractional graph Laplacians (2019) (21)
- Block preconditioners for saddle point systems arising from liquid crystal directors modeling (2018) (21)
- Computational efficient RCWA method for simulation of thin film solar cells (2012) (21)
- Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications (2016) (19)
- Multilevel Algorithms for Large-Scale Interior Point Methods (2009) (18)
- Block triangular preconditioners for M-matrices and Markov chains (2006) (17)
- On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems (2017) (16)
- An implicit compact scheme solver for two-dimensional multicomponent flows (2007) (16)
- Risk-Dependent Centrality in Economic and Financial Networks (2019) (15)
- A direct projection method for Markov chains (2004) (15)
- Core-satellite Graphs. Clustering, Assortativity and Spectral Properties (2015) (14)
- CHEBYSHEV ACCELERATION OF THE GENERANK ALGORITHM (2012) (13)
- The Arithmetic Mean Method for Finding the Stationary Vector of Markov Chains (1995) (13)
- Dynamic communicability and epidemic spread: a case study on an empirical dynamic contact network (2016) (13)
- A note on walk entropies in graphs (2014) (12)
- Are Social Networks Really Balanced? (2014) (12)
- A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier–Stokes equations (2013) (11)
- Assessment of a vorticity based solver for the Navier-Stokes equations (2012) (11)
- Fast Iterative Solution of the Optimal Transport Problem on Graphs (2020) (11)
- Solution of linear systems from an optimal control problem arising in wind simulation (2010) (11)
- Stable Computation of Generalized Matrix Functions via Polynomial Interpolation (2019) (10)
- Uzawa-Type and Augmented Lagrangian Methods for Double Saddle Point Systems (2019) (9)
- Product preconditioning for Markov chain problems (2006) (9)
- Rational Krylov methods for fractional diffusion problems on graphs (2020) (9)
- Restricted additive Schwarz methods for Markov chains (2011) (8)
- Some uses of the field of values in numerical analysis (2020) (8)
- Solving Cubic Matrix Equations Arising in Conservative Dynamics (2021) (7)
- Localization phenomena in matrix functions: theory and algorithms (2008) (7)
- Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion (2003) (7)
- P-REGULAR SPLITTING ITERATIVE METHODS FOR NON-HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS (2009) (7)
- A Parallel Block Projection Method of the Cimmino Type for Finite Markov Chains (1995) (7)
- Atomic displacements due to spin–spin repulsion in conjugated alternant hydrocarbons (2013) (7)
- Augmented Lagrangian Preconditioners for the Incompressible Navier-Stokes Equations (2009) (7)
- Some matrix properties preserved by generalized matrix functions (2019) (6)
- Francesco Paolo Cantelli (2007) (6)
- Splittings of symmetric matrices and a question of Ortega (2008) (6)
- Graphs with absorption: Numerical methods for the absorption inverse and the computation of centrality measures (2019) (5)
- Decay bounds for functions of matrices with banded or Kronecker structure (2015) (5)
- Low- and high-density forms of liquid water revealed by a new medium-range order descriptor (2022) (4)
- Preconditioning Techniques Based on the Birkhoff–von Neumann Decomposition (2017) (4)
- Fully Atomistic Modeling of Realistic Plasmonic Materials: Assessing the Performance of Iterative Solvers (2021) (4)
- Parallel Preconditioning with Factorized Sparse Approximate Inverses (1999) (4)
- BIT Numerical Mathematics: Editorial (2005) (3)
- Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis (2022) (3)
- Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices (2021) (3)
- BOUNDS FOR THE ENTRIES OF MATRIXFUNCTIONS WITH APPLICATIONS TOPRECONDITIONING (1999) (3)
- 881 OPTIMIZATION OF THE HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION FOR SADDLE-POINT PROBLEMS ∗ Dedicated to (2003) (3)
- A davidson method for the k-eigenvalue problem (2011) (2)
- Going Beyond the Limits of Classical Atomistic Modeling of Plasmonic Nanostructures (2021) (2)
- Remarks on the numerical solution of certain linear complementarity problems (1997) (2)
- André-Louis Cholesky: Mathematician, Topographer and Army Officer by Claude Brezinski and Dominique Tournès (2017) (2)
- Preconditioning a Parallel, Inexact Block-Jacobi Splitting of the SN Algorithm (2005) (2)
- Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953) (2014) (2)
- A matrix analysis of functional centrality measures (2013) (2)
- Block preconditioners for saddle point systems arising from liquid crystal directors modeling (2018) (2)
- Approximate Inverse Preconditioning For The Conjugate Gradient Method On A Vector Computer (1996) (2)
- Preconditioning a mixed discontinuousnite element method for radiation diusion (2004) (1)
- Approximate inverse preconditioning of iterative methods for nonsymmetric linear systems (1996) (1)
- ILAY Workshop on Iterative Methods (1996) (1)
- Special Section: 2010 Copper Mountain Conference (2011) (1)
- TR-2009-014 P-regular Splitting Iterative Methods for Non-Hermitian Linear Systems (2009) (1)
- TR-2009-014 P-regular Splitting Iterative Methods for Non-Hermitian Linear Systems (2009) (1)
- Sparse matrix orderings for factorized inverse preconditioners (1998) (1)
- N A ] 1 O ct 2 01 2 RANKING HUBS AND AUTHORITIES USING MATRIX FUNCTIONS (2012) (1)
- Solving linear systems of the form (A + γUUT), x = b by preconditioned iterative methods (2022) (1)
- Preconditioning with Sparse Approximate Inverses (1995) (0)
- Preprint Bughw-sc 00/7 Bergische Universitt at Gh Wuppertal Fachbereich Mathematik Algebraic Theory of Multiplicative Schwarz Methods Algebraic Theory of Multiplicative Schwarz Methods (2000) (0)
- Some uses of the field of values in numerical analysis (2020) (0)
- An iterative solver for the Navier-Stokes equations in Velocity-Vorticity-Helicity form (2011) (0)
- Modified Schrödinger Equation for Quantum Dynamics of Radicals . Study of Graphene Nanoflakes (2012) (0)
- New block preconditioners for saddle point problems (2011) (0)
- A two-dimensional minimum residual technique for accelerating two-step iterative solvers with applications to discrete ill-posed problems (2023) (0)
- A STUDY OF DIFFERENT ORDERINGS FOR INCOMPLETE FACTORIZATION PRECONDITIONING OF NONSYMMETRIC LINEAR SYSTEMS (1998) (0)
- Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods (2022) (0)
- Special Section: 2014 Copper Mountain Conference (2015) (0)
- Application of a computationally efficient implementation of the RCWA method to numerical simulations of thin film amorphous solar cells (2011) (0)
- Regularized HSS iteration methods for saddle-point linear systems (2016) (0)
- Special Section: 2016 Copper Mountain Conference (2017) (0)
- Approximate Schur Complement Multilevel Methods for General Sparse Systems (2000) (0)
- Performance and stability of direct methods for computing generalized inverses of the graph Laplacian (2020) (0)
- Efficient preconditioners for solving dynamical optimal transport via interior point methods (2022) (0)
- International Spring School on Matrix Functions and their applications Wednesday May 15 to Friday May 17, 2013 Salle de Réunion, Bâtiment M2 Laboratoire Paul Painlevé UMR 8524 Université de Lille 1, France (2013) (0)
- On the numerical solution of a cubic matrix equation (2021) (0)
- Structural analysis of water networks (2022) (0)
- NUSOD 2011 Proceedings (2011) (0)
- Commentary on Dehmer and Mowshowitz (2016) (0)
- Technical Report TR-2015-009 A Finite Element Method for Quantum Graphs (2015) (0)
- New results and open problems on subgraph centrality (2021) (0)
- CIMEEMS Summer School in applied mathematics Exploiting Hidden Structure in Matrix Computations. Algorithms and Applications (2015) (0)
- Generalized Iterative Methods for Solving Double Saddle Point Problem (2020) (0)
- APPROXIMATE INVERSE PRECONDITIONING OF ITERATIVEMETHODS FOR NONSYMMETRIC LINEAR SYSTEMSMICHELE (1998) (0)
- TR-2006-005 Some Preconditioning Techniques for Saddle Point Problems (2006) (0)
- Regularized Image System Formulation for Stokes Flow Outside a Solid Sphere 2 : 15 – 3 : 00 Coffee Break (2015) (0)
- Special Section: 2012 Copper Mountain Conference (2013) (0)
- Preface (2006) (0)
- TR-2011-008 An Iterative Solver for the Navier-Stokes Equations in Velocity-Vorticity-Helicity Form by (2011) (0)
- Low, high and very-high density forms of liquid water revealed by a medium-range order descriptor (2021) (0)
- Appendix A. Supplementary Materials to the Paper " Updating and Downdating Techniques for Optimizing Network Communi- Cability " (2015) (0)
- Solving linear systems of the form $(A + \gamma UU^T)\, {\bf x} = {\bf b}$ by preconditioned iterative methods (2022) (0)
- TR-2007-003 Decay bounds and linear scaling algorithms for approximating functions of band matrices (2007) (0)
- André-Louis Cholesky: Mathematician, Topographer and Army Officer by Claude Brezinski and Dominique Tournès (2017) (0)
- The 2005 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications (Final Report) (2005) (0)
- Fractional dynamics on directed networks (2019) (0)
- ACADEMY OF SCIENCES OF THE CZECH REPUBLIC A Sparse Approximate Inverse Preconditioner For The Conjugate Gradient Method (2019) (0)
- A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier–Stokes equations (2012) (0)
- Experiences with Some Preconditioning Techniques in Shell Problems (1997) (0)
- An Assessment of Some Preconditioning Techniques in ShellProblemsMichele (1998) (0)
- Approximation of functions of large matrices with Kronecker structure (2016) (0)
- ON SOME NEW DEVELOPMENTS IN APPROXIMATE INVERSE PRECONDITIONING (2000) (0)
- Dedication to Robert J. Plemmons (2000) (0)
- TR-2012-006 Assessment of a vorticity based solver for the Navier-Stokes equations (2012) (0)
- Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928–1953) (2013) (0)
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