World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
84
Citations
68530
World Ranking
107
National Ranking
59

Engineering and Technology

D-Index
84
Citations
68165
World Ranking
394
National Ranking
135

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2010 - SIAM Fellow For contributions in numerical linear algebra and its applications.
  • 2010 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Yousef Saad is affiliated with the University of Minnesota in the United States. The research work spans the intersection of computer science, mathematics, and physics, with significant contributions in computational theory and mathematics, numerical analysis, and artificial intelligence.

Their research topics focus primarily on matrix theory and algorithms, electromagnetic scattering and analysis, numerical methods for differential equations, advanced optimization algorithms, iterative methods for nonlinear equations, model reduction and neural networks, and advanced graph neural networks.

Some of the recent papers include:

  • Graph coarsening: from scientific computing to machine learning, 2022, SeMA Journal
  • Solving the Three-Dimensional High-frequency Helmholtz Equation Using Contour Integration and Polynomial Preconditioning, 2020, SIAM Journal on Matrix Analysis and Applications
  • A Power Schur Complement Low-Rank Correction Preconditioner for General Sparse Linear Systems, 2021, SIAM Journal on Matrix Analysis and Applications
  • Shanks and Anderson-type acceleration techniques for systems of nonlinear equations, 2021, IMA Journal of Numerical Analysis
  • Proxy-GMRES: Preconditioning via GMRES in Polynomial Space, 2021, SIAM Journal on Matrix Analysis and Applications

Frequent co-authors in their research include:

  • Yuanzhe Xi
  • Ziyuan Tang
  • Vassilis Kalantzis
  • Ruipeng Li
  • Huan He

The prominent venues for their publications are:

  • arXiv (Cornell University)
  • SIAM Journal on Matrix Analysis and Applications
  • SIAM Journal on Scientific Computing
  • Computing in Science & Engineering
  • Numerical Linear Algebra with Applications

Yousef Saad has been recognized with awards including the Fellow of the American Association for the Advancement of Science (AAAS) in 2010 and becoming a SIAM Fellow the same year for contributions in numerical linear algebra and its applications.

Best Publications

  • Iterative Methods for Sparse Linear Systems

    Y. Saad

  • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems

    Youcef Saad;Martin H Schultz

  • Numerical Methods for Large Eigenvalue Problems: Revised Edition

    Yousef Saad

  • Numerical Methods for Large Eigenvalue Problems

    Y Saad

  • A Flexible Inner-Outer Preconditioned GMRES Algorithm

    Unknown

  • Topological properties of hypercubes

    Unknown

  • Finite-difference-pseudopotential method: Electronic structure calculations without a basis.

    James R. Chelikowsky;N. Troullier;Yousef Saad

  • ILUT: A dual threshold incomplete LU factorization

    Yousef Saad

  • Analysis of some Krylov subspace approximations to the matrix exponential operator

    Unknown

  • Iterative solution of linear systems in the 20th century

    Yousef Saad;Henk A. van der Vorst

  • Higher-order finite-difference pseudopotential method: An application to diatomic molecules

    James R. Chelikowsky;N. Troullier;K. Wu;Y. Saad

  • Krylov subspace methods for solving large unsymmetric linear systems

    Unknown

  • GPU-accelerated preconditioned iterative linear solvers

    Ruipeng Li;Yousef Saad

  • Approximate Inverse Preconditioners via Sparse-Sparse Iterations

    Edmond Chow;Yousef Saad

  • Two classes of multisecant methods for nonlinear acceleration

    Haw Ren Fang;Yousef Saad

  • Orthogonal Neighborhood Preserving Projections: A Projection-Based Dimensionality Reduction Technique

    E. Kokiopoulou;Y. Saad

  • Experimental study of ILU preconditioners for indefinite matrices

    Edmond Chow;Yousef Saad

  • Fast Approximate k NN Graph Construction for High Dimensional Data via Recursive Lanczos Bisection

    Jie Chen;Haw-ren Fang;Yousef Saad

  • PARSEC – the pseudopotential algorithm for real‐space electronic structure calculations: recent advances and novel applications to nano‐structures

    Leeor Kronik;Adi Makmal;Murilo L. Tiago;Murilo L. Tiago;M. M. G. Alemany

  • Numerical Methods for Electronic Structure Calculations of Materials

    Yousef Saad;James R. Chelikowsky;Suzanne M. Shontz

  • Convergence Theory of Nonlinear Newton–Krylov Algorithms

    Peter N. Brown;Youcef Saad

  • Deflated and Augmented Krylov Subspace Techniques

    Andrew Chapman;Yousef Saad

  • Dense Subgraph Extraction with Application to Community Detection

    Jie Chen;Y. Saad

  • Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method

    Youcef Saad

  • Turbo charging time-dependent density-functional theory with Lanczos chains.

    Dario Rocca;Ralph Gebauer;Yousef Saad;Stefano Baroni

Frequent Co-Authors

James R. Chelikowsky
James R. Chelikowsky The University of Texas at Austin
Kesheng Wu
Kesheng Wu Lawrence Berkeley National Laboratory
Jun Zhang
Jun Zhang University of Kentucky
Maarten V. de Hoop
Maarten V. de Hoop Rice University
Tony F. Chan
Tony F. Chan University of California, Los Angeles
Leeor Kronik
Leeor Kronik Weizmann Institute of Science
Peter Brown
Peter Brown University of Oxford
Danny C. Sorensen
Danny C. Sorensen Rice University
Georgios B. Giannakis
Georgios B. Giannakis University of Minnesota
Ananth Grama
Ananth Grama Purdue University West Lafayette

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