- Home
- Best Scientists - Mathematics
- Beresford N. Parlett

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
36
Citations
11,433
155
World Ranking
1725
National Ranking
750

2011 - SIAM Fellow For contributions to numerical linear algebra.

- Eigenvalues and eigenvectors
- Algebra
- Mathematical analysis

His main research concerns Eigenvalues and eigenvectors, Applied mathematics, Mathematical analysis, Lanczos algorithm and Symmetric matrix. His studies in Eigenvalues and eigenvectors integrate themes in fields like Matrix and Combinatorics. Beresford N. Parlett has included themes like Tridiagonal matrix algorithm and Transformation in his Lanczos algorithm study.

His study looks at the relationship between Symmetric matrix and topics such as Algorithm, which overlap with Relaxation, Rate of convergence, Runge–Kutta methods and Theoretical computer science. In his study, QR algorithm and Arnoldi iteration is inextricably linked to Mathematical proof, which falls within the broad field of Rayleigh quotient iteration. His Arnoldi iteration research integrates issues from Variety, EISPACK and Scope.

- The symmetric eigenvalue problem (2830 citations)
- Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations (343 citations)
- The Lanczos algorithm with selective orthogonalization (320 citations)

Eigenvalues and eigenvectors, Tridiagonal matrix, Applied mathematics, Algebra and Matrix are his primary areas of study. He interconnects Algorithm, Symmetric matrix and Mathematical analysis in the investigation of issues within Eigenvalues and eigenvectors. The various areas that Beresford N. Parlett examines in his Tridiagonal matrix study include Factorization, Block matrix, Combinatorics and Computation.

Beresford N. Parlett has researched Applied mathematics in several fields, including Eigenvalue perturbation, Convergence, Condition number and Defective matrix. His Convergence study integrates concerns from other disciplines, such as QR algorithm and Hessenberg matrix. His Matrix research is multidisciplinary, incorporating perspectives in Iterative method and Pure mathematics.

- Eigenvalues and eigenvectors (46.67%)
- Tridiagonal matrix (28.48%)
- Applied mathematics (21.82%)

- Eigenvalues and eigenvectors (46.67%)
- Tridiagonal matrix (28.48%)
- Matrix (21.21%)

Beresford N. Parlett focuses on Eigenvalues and eigenvectors, Tridiagonal matrix, Matrix, Combinatorics and Algorithm. To a larger extent, Beresford N. Parlett studies Algebra with the aim of understanding Eigenvalues and eigenvectors. The concepts of his Tridiagonal matrix study are interwoven with issues in Matrix splitting, Inverse iteration, Block matrix and Structure.

His work carried out in the field of Matrix brings together such families of science as Numerical analysis and Pure mathematics. His Combinatorics research is multidisciplinary, relying on both Diagonal, Wilkinson matrix, Complex plane and Integer. His Hybrid algorithm study, which is part of a larger body of work in Algorithm, is frequently linked to Worst-case complexity, bridging the gap between disciplines.

- Performance and Accuracy of LAPACK's Symmetric Tridiagonal Eigensolvers (70 citations)
- On nonsymmetric saddle point matrices that allow conjugate gradient iterations (29 citations)
- Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers (29 citations)

- Algebra
- Eigenvalues and eigenvectors
- Complex number

His primary areas of investigation include Matrix, Eigenvalues and eigenvectors, Tridiagonal matrix, Symmetric matrix and Algorithm. His research in Matrix intersects with topics in Iterative method, Numerical analysis and Conjugate gradient method. Beresford N. Parlett studies Eigenvalues and eigenvectors, focusing on Hessenberg matrix in particular.

His Tridiagonal matrix research is multidisciplinary, incorporating elements of Range, Software and Algorithmics. His Algorithm research incorporates elements of Matrix decomposition and Theoretical computer science. His QR algorithm study frequently intersects with other fields, such as Inverse iteration.

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

The Symmetric Eigenvalue Problem

Beresford N. Parlett.

**(1980)**

4904 Citations

The Symmetric Eigenvalue Problem

Beresford N. Parlett.

**(1980)**

4904 Citations

Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations

J. R. Bunch;B. N. Parlett.

SIAM Journal on Numerical Analysis **(1971)**

523 Citations

Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations

J. R. Bunch;B. N. Parlett.

SIAM Journal on Numerical Analysis **(1971)**

523 Citations

The Lanczos algorithm with selective orthogonalization

B. N. Parlett;D. S. Scott.

Mathematics of Computation **(1979)**

492 Citations

The Lanczos algorithm with selective orthogonalization

B. N. Parlett;D. S. Scott.

Mathematics of Computation **(1979)**

492 Citations

Approximate solutions and eigenvalue bounds from Krylov subspaces

Chris C. Paige;Beresford N. Parlett;Henk A. van der Vorst.

Numerical Linear Algebra With Applications **(1995)**

410 Citations

Approximate solutions and eigenvalue bounds from Krylov subspaces

Chris C. Paige;Beresford N. Parlett;Henk A. van der Vorst.

Numerical Linear Algebra With Applications **(1995)**

410 Citations

On generalized successive overrelaxation methods for augmented linear systems

Zhong-Zhi Bai;Beresford N. Parlett;Zeng-Qi Wang.

Numerische Mathematik **(2005)**

398 Citations

On generalized successive overrelaxation methods for augmented linear systems

Zhong-Zhi Bai;Beresford N. Parlett;Zeng-Qi Wang.

Numerische Mathematik **(2005)**

398 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

The University of Texas at Austin

University of California, Berkeley

University of Tennessee at Knoxville

University of Tennessee at Knoxville

University of Tennessee at Knoxville

Scuola Normale Superiore di Pisa

KU Leuven

Purdue University West Lafayette

Linköping University

University of Tennessee at Knoxville

University of Nebraska–Lincoln

Southern Methodist University

University of Cambridge

KU Leuven

Washington University in St. Louis

Hokkaido University

Austrian Academy of Sciences

University College Dublin

Potsdam Institute for Climate Impact Research

Air Resources Laboratory

The University of Texas Health Science Center at Houston

Erasmus University Rotterdam

University of Graz

Victoria University

Aarhus University Hospital

Leipzig University

Something went wrong. Please try again later.