World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
14832
World Ranking
943
National Ranking
24

Engineering and Technology

D-Index
51
Citations
14669
World Ranking
3764
National Ranking
100

Research.com Recognitions

  • 2019 - Member of Academia Europaea
  • 2018 - Fellow of the American Mathematical Society For contributions in numerical linear algebra, exposition, and service to the profession.
  • 2012 - SIAM Fellow For contributions to numerical linear algebra and its applications, especially sparse linear systems and preconditioning.

Overview

Michele Benzi is affiliated with the Scuola Normale Superiore di Pisa in Italy. Their research spans multiple fields including Computer Science, Physics and Astronomy, and Mathematics. Within these fields, their work addresses subfields such as Computational Theory and Mathematics, Atomic and Molecular Physics and Optics, Computational Mechanics, Statistical and Nonlinear Physics, and Numerical Analysis.

The scientist's publications focus on several main topics of research, including Matrix Theory and Algorithms, Advanced Numerical Methods in Computational Mathematics, Graph Theory and Applications, Electromagnetic Scattering and Analysis, Complex Network Analysis Techniques, Spectroscopy and Quantum Chemical Studies, and Numerical Methods for Differential Equations.

Recent papers authored by Michele Benzi include:

  • Matrix functions in network analysis, 2020, GAMM-Mitteilungen
  • Some uses of the field of values in numerical analysis, 2020, Bollettino dell Unione Matematica Italiana

Other recent papers from their broader research context, authored by frequent co-authors, feature works like:

  • Going Beyond the Limits of Classical Atomistic Modeling of Plasmonic Nanostructures, 2021, The Journal of Physical Chemistry C
  • Low- and high-density forms of liquid water revealed by a new medium-range order descriptor, 2022, Journal of Molecular Liquids
  • Risk-Dependent Centrality in Economic and Financial Networks, 2020, SIAM Journal on Financial Mathematics

Michele Benzi collaborates frequently with peers such as Chiara Faccio, Laura Zanetti-Polzi, Isabella Daidone, Michele Rinelli, and Fatemeh Panjeh Ali Beik. These collaborations have contributed to a diverse portfolio of interdisciplinary research articles.

The scientist's work has appeared in journals like arXiv (Cornell University), SIAM Journal on Scientific Computing, The Journal of Physical Chemistry C, Numerische Mathematik, and Linear Algebra and its Applications, with the largest number of their publications found on arXiv.

Michele Benzi has been recognized by several academic organizations. They became a member of Academia Europaea in 2019. In 2018, they were named a Fellow of the American Mathematical Society for contributions in numerical linear algebra, exposition, and service to the profession. Earlier, in 2012, they were named a SIAM Fellow for contributions to numerical linear algebra and its applications, particularly in sparse linear systems and preconditioning.

Best Publications

  • Numerical solution of saddle point problems

    Michele Benzi;Gene H. Golub;Jörg Liesen

  • Preconditioning techniques for large linear systems: a survey

    Michele Benzi

  • A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method

    Michele Benzi;Carl D. Meyer;Miroslav Tuma

  • A Preconditioner for Generalized Saddle Point Problems

    Michele Benzi;Gene H. Golub

  • A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems

    Michele Benzi;Miroslav Tuma

  • A comparative study of sparse approximate inverse preconditioners

    Michele Benzi;Miroslav Tůma

  • Modified HSS iteration methods for a class of complex symmetric linear systems

    Zhong-Zhi Bai;Michele Benzi;Fang Chen

  • The physics of communicability in complex networks

    Ernesto Estrada;Naomichi Hatano;Michele Benzi

  • An Augmented Lagrangian-Based Approach to the Oseen Problem

    Michele Benzi;Maxim A. Olshanskii

  • Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method

    Michele Benzi;Jane K. Cullum;Miroslav Tuma

  • On preconditioned MHSS iteration methods for complex symmetric linear systems

    Zhong-Zhi Bai;Michele Benzi;Fang Chen

  • TM-LDA: efficient online modeling of latent topic transitions in social media

    Yu Wang;Eugene Agichtein;Michele Benzi

  • Total communicability as a centrality measure

    Michele Benzi;Christine Klymko

  • Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

    Zhong-Zhi Bai;Michele Benzi;Fang Chen;Zeng-Qi Wang

  • Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems

    Michele Benzi;Daniel B. Szyld;Arno van Duin

  • Block preconditioning of real-valued iterative algorithms for complex linear systems

    Michele Benzi;Daniele Bertaccini

  • Preconditioning Highly Indefinite and Nonsymmetric Matrices

    Michele Benzi;John C. Haws;Miroslav Tuma

  • Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics

    Guillaume Alléon;Michele Benzi;Luc Giraud

  • ON THE LIMITING BEHAVIOR OF PARAMETER-DEPENDENT NETWORK CENTRALITY MEASURES ∗

    Michele Benzi;Christine Klymko

  • Decay Properties of Spectral Projectors with Applications to Electronic Structure

    Michele Benzi;Paola Boito;Nader Razouk

  • Ranking hubs and authorities using matrix functions

    Michele Benzi;Ernesto Estrada;Christine Klymko

  • A robust incomplete factorization preconditioner for positive definite matrices

    Michele Benzi;Miroslav Tůma

Frequent Co-Authors

Ernesto Estrada
Ernesto Estrada Institute for Cross-Disciplinary Physics and Complex Systems
Valeria Simoncini
Valeria Simoncini University of Bologna
Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Gene H. Golub
Gene H. Golub Stanford University
Zhong-Zhi Bai
Zhong-Zhi Bai Chinese Academy of Sciences
Daniel B. Szyld
Daniel B. Szyld Temple University
Eldad Haber
Eldad Haber University of British Columbia
Michael K. Ng
Michael K. Ng Hong Kong Baptist University
Martin J. Gander
Martin J. Gander University of Geneva
Howard H. Chang
Howard H. Chang Emory University

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