Michele Benzi

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 35

Top Topics

Iterative Methods

Directed Networks

Top Venues

SIAM J. Matrix Anal. Appl.

SIAM J. Sci. Comput.

J. Complex Networks

Publications

Fatemeh Panjeh Ali Beik, Michele Benzi
An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems. Appl. Math. Lett. 149 (2024)
Enrico Facca, Gabriele Todeschi, Andrea Natale, Michele Benzi
Efficient Preconditioners for Solving Dynamical Optimal Transport via Interior Point Methods. SIAM J. Sci. Comput. 46 (3) (2024)
Michele Benzi, Chiara Faccio
Solving Linear Systems of the Form \({\boldsymbol{(A + \gamma UU^T)\, {x} = {b}}}\) by Preconditioned Iterative Methods. SIAM J. Sci. Comput. 46 (2) (2024)
Fatemeh Panjeh Ali Beik, Michele Benzi, Mehdi Najafi-Kalyani
Accelerating iterative solvers via a two-dimensional minimum residual technique. Comput. Math. Appl. 166 (2024)
Fatemeh Panjeh Ali Beik, Michele Benzi, Mehdi Najafi-Kalyani
A two-dimensional minimum residual technique for accelerating two-step iterative solvers with applications to discrete ill-posed problems. CoRR (2023)
Fatemeh Panjeh Ali Beik, Michele Benzi
An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems. CoRR (2023)
Michele Benzi, Michele Rinelli, Igor Simunec
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods. Numerische Mathematik 155 (3-4) (2023)
Michele Benzi, Isabella Daidone, Chiara Faccio, Laura Zanetti Polzi
Structural analysis of water networks. CoRR (2022)
Michele Benzi, Chiara Faccio
), x = b by preconditioned iterative methods. CoRR (2022)
Michele Benzi, Isabella Daidone, Chiara Faccio, Laura Zanetti Polzi
Structural analysis of water networks. J. Complex Networks 11 (1) (2022)
Fatemeh Panjeh Ali Beik, Michele Benzi
Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. Numerische Mathematik 150 (2) (2022)
Michele Benzi, Michele Rinelli, Igor Simunec
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods. CoRR (2022)
Enrico Facca, Gabriele Todeschi, Andrea Natale, Michele Benzi
Efficient preconditioners for solving dynamical optimal transport via interior point methods. CoRR (2022)
Michele Benzi, Milo Viviani
Solving cubic matrix equations arising in conservative dynamics. CoRR (2021)
Enrico Facca, Michele Benzi
Fast Iterative Solution of the Optimal Transport Problem on Graphs. SIAM J. Sci. Comput. 43 (3) (2021)
Michele Benzi, Michele Rinelli
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. CoRR (2021)
Michele Benzi, Daniele Bertaccini, Fabio Durastante, Igor Simunec, Ernesto Estrada
Non-local network dynamics via fractional graph Laplacians. J. Complex Networks 8 (3) (2020)
Paolo Bartesaghi, Michele Benzi, Gian Paolo Clemente, Rosanna Grassi, Ernesto Estrada
Risk-Dependent Centrality in Economic and Financial Networks. SIAM J. Financial Math. 11 (2) (2020)
Michele Benzi, Igor Simunec
Rational Krylov methods for fractional diffusion problems on graphs. CoRR (2020)
Enrico Facca, Michele Benzi
Fast Iterative Solution of the Optimal Transport Problem on Graphs. CoRR (2020)
Jared Lee Aurentz, Anthony P. Austin, Michele Benzi, Vassilis Kalantzis
Stable Computation of Generalized Matrix Functions via Polynomial Interpolation. SIAM J. Matrix Anal. Appl. 40 (1) (2019)
Michele Benzi, Daniele Bertaccini, Fabio Durastante
Fractional dynamics on directed networks. CoRR (2019)
Fatemeh Panjeh Ali Beik, Michele Benzi
Iterative Methods for Double Saddle Point Systems. SIAM J. Matrix Anal. Appl. 39 (2) (2018)
Fatemeh Panjeh Ali Beik, Michele Benzi, Sayyed-Hasan Azizi Chaparpordi
On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems. J. Comput. Appl. Math. 326 (2017)
Isabel Chen, Michele Benzi, Howard H. Chang, Vicki Stover Hertzberg
Dynamic communicability and epidemic spread: a case study on an empirical dynamic contact network. J. Complex Networks 5 (2) (2017)
Michele Benzi, Thomas M. Evans, Steven P. Hamilton, Massimiliano Lupo Pasini, Stuart R. Slattery
Analysis of Monte Carlo accelerated iterative methods for sparse linear systems. Numer. Linear Algebra Appl. 24 (3) (2017)
Michele Benzi, Valeria Simoncini
Approximation of functions of large matrices with Kronecker structure. Numerische Mathematik 135 (1) (2017)
Michele Benzi, Bora Uçar
Preconditioning Techniques Based on the Birkhoff-von Neumann Decomposition. Comput. Methods Appl. Math. 17 (2) (2017)
Ernesto Estrada, Michele Benzi
What is the meaning of the graph energy after all? Discret. Appl. Math. 230 (2017)
Michele Benzi
Special Section: 2016 Copper Mountain Conference. SIAM J. Sci. Comput. 39 (5) (2017)
Isabel Chen, Michele Benzi, Howard H. Chang, Vicki Stover Hertzberg
Dynamic communicability and epidemic spread: a case study on an empirical dynamic contact network. CoRR (2016)
Francesca Arrigo, Michele Benzi, Caterina Fenu
Computation of Generalized Matrix Functions. SIAM J. Matrix Anal. Appl. 37 (3) (2016)
Michele Benzi, Desmond J. Higham
Commentary on Dehmer and Mowshowitz. Complex. 21 (S1) (2016)
Francesca Arrigo, Michele Benzi
Edge Modification Criteria for Enhancing the Communicability of Digraphs. SIAM J. Matrix Anal. Appl. 37 (1) (2016)
Francesca Arrigo, Michele Benzi
Updating and Downdating Techniques for Optimizing Network Communicability. SIAM J. Sci. Comput. 38 (1) (2016)
Francesca Arrigo, Michele Benzi
Edge modification criteria for enhancing the communicability of digraphs. CoRR (2015)
Ernesto Estrada, Michele Benzi
Core-satellite Graphs. Clustering, Assortativity and Spectral Properties. CoRR (2015)
Michele Benzi, Valeria Simoncini
Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
Michele Benzi
Special Section: 2014 Copper Mountain Conference. SIAM J. Sci. Comput. 37 (5) (2015)
Michele Benzi, Christine Klymko
On the Limiting Behavior of Parameter-Dependent Network Centrality Measures. SIAM J. Matrix Anal. Appl. 36 (2) (2015)
Francesca Arrigo, Michele Benzi
Updating and downdating techniques for optimizing network communicability. CoRR (2014)
Michele Benzi, Elena Toscano
Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928-1953). Numer. Algorithms 66 (1) (2014)
Ernesto Estrada, Michele Benzi
Are Social Networks Really Balanced? CoRR (2014)
Michele Benzi, Christine Klymko
A matrix analysis of different centrality measures. CoRR (2013)
Michele Benzi, Christine Klymko
Total communicability as a centrality measure CoRR (2013)
Michele Benzi, Paola Boito, Nader Razouk
Decay Properties of Spectral Projectors with Applications to Electronic Structure. SIAM Rev. 55 (1) (2013)
Michele Benzi, Zhen Wang
A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations. Numer. Algorithms 64 (1) (2013)
Michele Benzi
Special Section: 2012 Copper Mountain Conference. SIAM J. Sci. Comput. 35 (5) (2013)
Michele Benzi, Christine Klymko
Total communicability as a centrality measure. J. Complex Networks 1 (2) (2013)
Michele Benzi, Ernesto Estrada, Christine Klymko
Ranking hubs and authorities using matrix functions CoRR (2012)
Yu Wang, Eugene Agichtein, Michele Benzi
TM-LDA: efficient online modeling of latent topic transitions in social media. KDD (2012)
Ernesto Estrada, Naomichi Hatano, Michele Benzi
The Physics of Communicability in Complex Networks CoRR (2011)
Michele Benzi, Eldad Haber, Lauren Taralli
A preconditioning technique for a class of PDE-constrained optimization problems. Adv. Comput. Math. 35 (2-4) (2011)
Michele Benzi, Maxim A. Olshanskii
Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem. SIAM J. Numer. Anal. 49 (2) (2011)
Michele Benzi, Zhen Wang
Analysis of Augmented Lagrangian-Based Preconditioners for the Steady Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 33 (5) (2011)
Michele Benzi, Verena Kuhlemann
Restricted additive Schwarz methods for Markov chains. Numer. Linear Algebra Appl. 18 (6) (2011)
Ray Tuminaro, Michele Benzi, Xiao-Chuan Cai, Iain Duff, Howard C. Elman, Roland Freund, Kirk E. Jordan, Tim Kelley, David E. Keyes, Misha Elena Kilmer, Sven Leyffer, Tom Manteuffel, Steve F. McCormick, David J. Silvester, Homer F. Walker
Special Section: 2010 Copper Mountain Conference. SIAM J. Sci. Comput. 33 (5) (2011)
Zhong-Zhi Bai, Michele Benzi, Fang Chen
On preconditioned MHSS iteration methods for complex symmetric linear systems. Numer. Algorithms 56 (2) (2011)
Michele Benzi
Numerical Solution of Markov Chains. Numer. Linear Algebra Appl. 18 (6) (2011)
Michele Benzi, Michael K. Ng, Qiang Niu, Zhen Wang
A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations. J. Comput. Phys. 230 (16) (2011)
Michele Benzi, Luis Ferragut, Micol Pennacchio, Valeria Simoncini
Solution of linear systems from an optimal control problem arising in wind simulation. Numer. Linear Algebra Appl. 17 (6) (2010)
Zhong-Zhi Bai, Michele Benzi, Fang Chen
Modified HSS iteration methods for a class of complex symmetric linear systems. Computing 87 (3-4) (2010)
Steven P. Hamilton, Michele Benzi, Eldad Haber
New multigrid smoothers for the Oseen problem. Numer. Linear Algebra Appl. 17 (2-3) (2010)
Michele Benzi, Eldad Haber, Lauren Taralli
Multilevel Algorithms for Large-Scale Interior Point Methods. SIAM J. Sci. Comput. 31 (6) (2009)
Michele Benzi
A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration. SIAM J. Matrix Anal. Appl. 31 (2) (2009)
Maxim A. Olshanskii, Michele Benzi
An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability. SIAM J. Sci. Comput. 30 (3) (2008)
Michele Benzi, Nader Razouk
On the Iwasawa decomposition of a symplectic matrix. Appl. Math. Lett. 20 (3) (2007)
Michele Benzi, Jia Liu
An Efficient Solver for the Incompressible Navier-Stokes Equations in Rotation Form. SIAM J. Sci. Comput. 29 (5) (2007)
Michele Benzi, Jia Liu
Block preconditioning for saddle point systems with indefinite (1, 1) block. Int. J. Comput. Math. 84 (8) (2007)
Michele Benzi, Maxim A. Olshanskii
An Augmented Lagrangian-Based Approach to the Oseen Problem. SIAM J. Sci. Comput. 28 (6) (2006)
Michele Benzi, Ljiljana Cvetkovic, Michael Neumann
Preface. Numer. Algorithms 42 (3-4) (2006)
Michele Benzi, Michael K. Ng
Preconditioned Iterative Methods for Weighted Toeplitz Least Squares Problems. SIAM J. Matrix Anal. Appl. 27 (4) (2006)
Michele Benzi, Valeria Simoncini
On the eigenvalues of a class of saddle point matrices. Numerische Mathematik 103 (2) (2006)
Valeria Simoncini, Michele Benzi
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 26 (2) (2004)
James S. Warsa, Michele Benzi, Todd A. Wareing, Jim E. Morel
Preconditioning a mixed discontinuous finite element method for radiation diffusion. Numer. Linear Algebra Appl. 11 (8-9) (2004)
Michele Benzi, Gene H. Golub
A Preconditioner for Generalized Saddle Point Problems. SIAM J. Matrix Anal. Appl. 26 (1) (2004)
Michele Benzi, Miroslav Tuma
A Robust Preconditioner with Low Memory Requirements for Large Sparse Least Squares Problems. SIAM J. Sci. Comput. 25 (2) (2003)
Michele Benzi, Miroslav Tuma
A robust incomplete factorization preconditioner for positive definite matrices. Numer. Linear Algebra Appl. 10 (5-6) (2003)
Michele Benzi, Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
Algebraic theory of multiplicative Schwarz methods. Numerische Mathematik 89 (4) (2001)
Michele Benzi, John C. Haws, Miroslav Tuma
Preconditioning Highly Indefinite and Nonsymmetric Matrices. SIAM J. Sci. Comput. 22 (4) (2000)
Michele Benzi, Miroslav Tuma
Orderings for Factorized Sparse Approximate Inverse Preconditioners. SIAM J. Sci. Comput. 21 (5) (2000)
Michele Benzi, Jane Cullum, Miroslav Tuma
Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method. SIAM J. Sci. Comput. 22 (4) (2000)
Michele Benzi, José Marín, Miroslav Tuma
Parallel Preconditioning with Factorized Sparse Approximate Inverses. PPSC (1999)
Michele Benzi, Daniel B. Szyld, Arno C. N. van Duin
Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems. SIAM J. Sci. Comput. 20 (5) (1999)
Michele Benzi, Miroslav Tuma
A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems. SIAM J. Sci. Comput. 19 (3) (1998)
Guillaume Alléon, Michele Benzi, Luc Giraud
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Numer. Algorithms 16 (1) (1997)
Michele Benzi, Carl Dean Meyer, Miroslav Tuma
A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method. SIAM J. Sci. Comput. 17 (5) (1996)
Michele Benzi, Tugrul Dayar
The Arithmetic Mean Method for Finding the Stationary Vector of Markov Chains. Parallel Algorithms Appl. 6 (1) (1995)
Michele Benzi, Carl Dean Meyer
A Direct Projection Method for Sparse Linear Systems. SIAM J. Sci. Comput. 16 (5) (1995)