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- Yousef Saad

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
64
Citations
38,475
209
World Ranking
191
National Ranking
104

Engineering and Technology
D-index
67
Citations
37,043
244
World Ranking
366
National Ranking
164

2010 - Fellow of the American Association for the Advancement of Science (AAAS)

2010 - SIAM Fellow For contributions in numerical linear algebra and its applications.

- Quantum mechanics
- Eigenvalues and eigenvectors
- Mathematical analysis

His main research concerns Algorithm, Applied mathematics, Eigenvalues and eigenvectors, Iterative method and Mathematical analysis. He combines subjects such as Projection, Linear system, Factorization, Linear algebra and Robustness with his study of Algorithm. The study incorporates disciplines such as Fixed point, Fixed-point iteration, Combinatorics, Acceleration and Field in addition to Applied mathematics.

His study in Krylov subspace and Generalized minimal residual method are all subfields of Iterative method. His Krylov subspace study combines topics from a wide range of disciplines, such as Power iteration, Linear subspace and Relaxation. His work on Preconditioner as part of general Mathematical optimization research is frequently linked to Block, bridging the gap between disciplines.

- Iterative Methods for Sparse Linear Systems (8904 citations)
- Numerical Methods for Large Eigenvalue Problems (1475 citations)
- Finite-difference-pseudopotential method: Electronic structure calculations without a basis. (564 citations)

Yousef Saad mainly investigates Applied mathematics, Algorithm, Eigenvalues and eigenvectors, Linear system and Matrix. His Applied mathematics study combines topics in areas such as Krylov subspace, Mathematical analysis, Mathematical optimization, Generalized minimal residual method and Lanczos resampling. His work carried out in the field of Algorithm brings together such families of science as Factorization, Sparse matrix and Robustness.

His work in Eigenvalues and eigenvectors tackles topics such as Nonlinear system which are related to areas like Chebyshev filter. His Linear system research includes elements of Iterative method, Algebra, Solver and Schur complement. Yousef Saad interconnects Incomplete LU factorization and Domain decomposition methods in the investigation of issues within Preconditioner.

- Applied mathematics (29.56%)
- Algorithm (23.48%)
- Eigenvalues and eigenvectors (22.93%)

- Applied mathematics (29.56%)
- Eigenvalues and eigenvectors (22.93%)
- Matrix (16.30%)

His scientific interests lie mostly in Applied mathematics, Eigenvalues and eigenvectors, Matrix, Lanczos resampling and Algorithm. His Applied mathematics research incorporates elements of Domain decomposition methods, Lanczos algorithm, Mathematical optimization, Methods of contour integration and Nonlinear system. He has researched Eigenvalues and eigenvectors in several fields, including Hermitian matrix, Interval, Polynomial, Chebyshev polynomials and Spectrum.

His Matrix study also includes

- Rank that intertwine with fields like Preconditioner,
- Discrete mathematics that connect with fields like Random matrix. His Algorithm study incorporates themes from Dimension, Subspace topology and Theoretical computer science. His studies link Generalized minimal residual method with Krylov subspace.

- Approximating Spectral Densities of Large Matrices (100 citations)
- Fast Estimation of $tr(f(A))$ via Stochastic Lanczos Quadrature (93 citations)
- Efficient estimation of eigenvalue counts in an interval (63 citations)

- Quantum mechanics
- Eigenvalues and eigenvectors
- Mathematical analysis

Yousef Saad spends much of his time researching Applied mathematics, Eigenvalues and eigenvectors, Matrix, Lanczos resampling and Algorithm. His biological study spans a wide range of topics, including Positive-definite matrix, Krylov subspace, Domain decomposition methods, Gaussian process and Symmetric matrix. His studies deal with areas such as Inverse and Preconditioner as well as Domain decomposition methods.

The Eigenvalues and eigenvectors study combines topics in areas such as Measure, Polynomial, Mathematical optimization and Interval. His biological study focuses on Iterative method. His Algorithm research includes themes of Factorization, Representation and Linear system.

This overview was generated by a machine learning system which analysed the scientistâ€™s body of work. If you have any feedback, you can contact us here.

Iterative Methods for Sparse Linear Systems

Y. Saad.

**(1996)**

18110 Citations

Numerical Methods for Large Eigenvalue Problems

Y Saad.

**(1992)**

2270 Citations

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

James R. Chelikowsky;N. Troullier;Yousef Saad.

Physical Review Letters **(1994)**

970 Citations

Numerical Methods for Large Eigenvalue Problems: Revised Edition

Yousef Saad.

**(2011)**

938 Citations

ILUT: A dual threshold incomplete LU factorization

Yousef Saad.

Numerical Linear Algebra With Applications **(1994)**

892 Citations

Iterative solution of linear systems in the 20th century

Yousef Saad;Henk A. van der Vorst.

Journal of Computational and Applied Mathematics **(2000)**

641 Citations

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

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

Physical Review B **(1994)**

581 Citations

Efficient solution of parabolic equations by Krylov approximation methods

Efstratios Gallopoulos;Yousef Saad.

Siam Journal on Scientific and Statistical Computing **(1992)**

408 Citations

Approximate Inverse Preconditioners via Sparse-Sparse Iterations

Edmond Chow;Yousef Saad.

SIAM Journal on Scientific Computing **(1998)**

349 Citations

GPU-accelerated preconditioned iterative linear solvers

Ruipeng Li;Yousef Saad.

The Journal of Supercomputing **(2013)**

334 Citations

The University of Texas at Austin

Lawrence Berkeley National Laboratory

University of Kentucky

Rice University

University of Oxford

King Abdullah University of Science and Technology

Weizmann Institute of Science

Purdue University West Lafayette

Rice University

University of Minnesota

Profile was last updated on December 6th, 2021.

Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).

The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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