Michele Benzi

Orcid: 0000-0001-6099-0294

Affiliations:
  • Scuola Normale Superiore, Pisa, Italy
  • Emory University, Atlanta, GA, USA (former)


According to our database1, Michele Benzi authored at least 84 papers between 1995 and 2024.

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Bibliography

2024
An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems.
Appl. Math. Lett., March, 2024

Efficient Preconditioners for Solving Dynamical Optimal Transport via Interior Point Methods.
SIAM J. Sci. Comput., 2024

Solving Linear Systems of the Form \({\boldsymbol{(A + \gamma UU^T)\, {x} = {b}}}\) by Preconditioned Iterative Methods.
SIAM J. Sci. Comput., 2024

Spectra and pseudospectra in the evaluation of material stability.
CoRR, 2024

Estimation of spectral gaps for sparse symmetric matrices.
CoRR, 2024

Modelling advection on distance-weighted directed networks.
CoRR, 2024

An augmented Lagrangian preconditioner for the control of the Navier-Stokes equations.
CoRR, 2024

Accelerating iterative solvers via a two-dimensional minimum residual technique.
Comput. Math. Appl., 2024

2023
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods.
Numerische Mathematik, December, 2023

A two-dimensional minimum residual technique for accelerating two-step iterative solvers with applications to discrete ill-posed problems.
CoRR, 2023

2022
Structural analysis of water networks.
J. Complex Networks, December, 2022

Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis.
Numerische Mathematik, 2022

Solving linear systems of the form (A + γUU<sup>T</sup>), x = b by preconditioned iterative methods.
CoRR, 2022

2021
Fast Iterative Solution of the Optimal Transport Problem on Graphs.
SIAM J. Sci. Comput., 2021

Solving cubic matrix equations arising in conservative dynamics.
CoRR, 2021

Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices.
CoRR, 2021

2020
Risk-Dependent Centrality in Economic and Financial Networks.
SIAM J. Financial Math., 2020

Rational Krylov methods for fractional diffusion problems on graphs.
CoRR, 2020

Non-local network dynamics via fractional graph Laplacians.
J. Complex Networks, 2020

2019
Stable Computation of Generalized Matrix Functions via Polynomial Interpolation.
SIAM J. Matrix Anal. Appl., 2019

Fractional dynamics on directed networks.
CoRR, 2019

2018
Iterative Methods for Double Saddle Point Systems.
SIAM J. Matrix Anal. Appl., 2018

2017
Special Section: 2016 Copper Mountain Conference.
SIAM J. Sci. Comput., 2017

Approximation of functions of large matrices with Kronecker structure.
Numerische Mathematik, 2017

Analysis of Monte Carlo accelerated iterative methods for sparse linear systems.
Numer. Linear Algebra Appl., 2017

On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems.
J. Comput. Appl. Math., 2017

What is the meaning of the graph energy after all?
Discret. Appl. Math., 2017

Dynamic communicability and epidemic spread: a case study on an empirical dynamic contact network.
J. Complex Networks, 2017

Preconditioning Techniques Based on the Birkhoff-von Neumann Decomposition.
Comput. Methods Appl. Math., 2017

2016
Updating and Downdating Techniques for Optimizing Network Communicability.
SIAM J. Sci. Comput., 2016

Computation of Generalized Matrix Functions.
SIAM J. Matrix Anal. Appl., 2016

Edge Modification Criteria for Enhancing the Communicability of Digraphs.
SIAM J. Matrix Anal. Appl., 2016

Commentary on Dehmer and Mowshowitz.
Complex., 2016

2015
Special Section: 2014 Copper Mountain Conference.
SIAM J. Sci. Comput., 2015

Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure.
SIAM J. Matrix Anal. Appl., 2015

On the Limiting Behavior of Parameter-Dependent Network Centrality Measures.
SIAM J. Matrix Anal. Appl., 2015

Core-satellite Graphs. Clustering, Assortativity and Spectral Properties.
CoRR, 2015

2014
Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928-1953).
Numer. Algorithms, 2014

Are Social Networks Really Balanced?
CoRR, 2014

2013
Special Section: 2012 Copper Mountain Conference.
SIAM J. Sci. Comput., 2013

Decay Properties of Spectral Projectors with Applications to Electronic Structure.
SIAM Rev., 2013

A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations.
Numer. Algorithms, 2013

A matrix analysis of different centrality measures.
CoRR, 2013

Total communicability as a centrality measure.
J. Complex Networks, 2013

2012
Ranking hubs and authorities using matrix functions
CoRR, 2012

TM-LDA: efficient online modeling of latent topic transitions in social media.
Proceedings of the 18th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2012

2011
Special Section: 2010 Copper Mountain Conference.
SIAM J. Sci. Comput., 2011

Analysis of Augmented Lagrangian-Based Preconditioners for the Steady Incompressible Navier-Stokes Equations.
SIAM J. Sci. Comput., 2011

Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem.
SIAM J. Numer. Anal., 2011

Restricted additive Schwarz methods for Markov chains.
Numer. Linear Algebra Appl., 2011

Numerical Solution of Markov Chains.
Numer. Linear Algebra Appl., 2011

On preconditioned MHSS iteration methods for complex symmetric linear systems.
Numer. Algorithms, 2011

A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations.
J. Comput. Phys., 2011

The Physics of Communicability in Complex Networks
CoRR, 2011

A preconditioning technique for a class of PDE-constrained optimization problems.
Adv. Comput. Math., 2011

2010
New multigrid smoothers for the Oseen problem.
Numer. Linear Algebra Appl., 2010

Solution of linear systems from an optimal control problem arising in wind simulation.
Numer. Linear Algebra Appl., 2010

Modified HSS iteration methods for a class of complex symmetric linear systems.
Computing, 2010

2009
Multilevel Algorithms for Large-Scale Interior Point Methods.
SIAM J. Sci. Comput., 2009

A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration.
SIAM J. Matrix Anal. Appl., 2009

2008
An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability.
SIAM J. Sci. Comput., 2008

2007
An Efficient Solver for the Incompressible Navier-Stokes Equations in Rotation Form.
SIAM J. Sci. Comput., 2007

Block preconditioning for saddle point systems with indefinite (1, 1) block.
Int. J. Comput. Math., 2007

On the Iwasawa decomposition of a symplectic matrix.
Appl. Math. Lett., 2007

2006
An Augmented Lagrangian-Based Approach to the Oseen Problem.
SIAM J. Sci. Comput., 2006

Preconditioned Iterative Methods for Weighted Toeplitz Least Squares Problems.
SIAM J. Matrix Anal. Appl., 2006

On the eigenvalues of a class of saddle point matrices.
Numerische Mathematik, 2006

Preface.
Numer. Algorithms, 2006

2004
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems.
SIAM J. Matrix Anal. Appl., 2004

A Preconditioner for Generalized Saddle Point Problems.
SIAM J. Matrix Anal. Appl., 2004

Preconditioning a mixed discontinuous finite element method for radiation diffusion.
Numer. Linear Algebra Appl., 2004

2003
A Robust Preconditioner with Low Memory Requirements for Large Sparse Least Squares Problems.
SIAM J. Sci. Comput., 2003

A robust incomplete factorization preconditioner for positive definite matrices.
Numer. Linear Algebra Appl., 2003

2001
Algebraic theory of multiplicative Schwarz methods.
Numerische Mathematik, 2001

2000
Orderings for Factorized Sparse Approximate Inverse Preconditioners.
SIAM J. Sci. Comput., 2000

Preconditioning Highly Indefinite and Nonsymmetric Matrices.
SIAM J. Sci. Comput., 2000

Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method.
SIAM J. Sci. Comput., 2000

1999
Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems.
SIAM J. Sci. Comput., 1999

Parallel Preconditioning with Factorized Sparse Approximate Inverses.
Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

1998
A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems.
SIAM J. Sci. Comput., 1998

1997
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics.
Numer. Algorithms, 1997

1996
A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method.
SIAM J. Sci. Comput., 1996

1995
A Direct Projection Method for Sparse Linear Systems.
SIAM J. Sci. Comput., 1995

The Arithmetic Mean Method for Finding the Stationary Vector of Markov Chains.
Parallel Algorithms Appl., 1995


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