2026 Beresford N. Parlett: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	43	1649	1426	710	570	176	13710

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1649

1426

710

570

176

13710

Research.com Recognitions

2011 - SIAM Fellow For contributions to numerical linear algebra.

Overview

Beresford N. Parlett is a researcher affiliated with the University of California, Berkeley in the United States. Their work spans multiple fields, primarily focusing on computer science, physics and astronomy, and mathematics.

Their research includes contributions in several subfields, such as computational theory and mathematics, statistical and nonlinear physics, geometry and topology, numerical analysis, and atomic and molecular physics and optics.

The main topics covered by Beresford N. Parlett include:

Matrix Theory and Algorithms
Advanced Mathematical Theories and Applications
Graph Theory and Applications
Advanced Optimization Algorithms Research
Electromagnetic Scattering and Analysis

Beresford N. Parlett has coauthored papers, notably with Carla Ferreira. Their frequent co-author is:

Carla Ferreira

Publication venues for Beresford N. Parlett include:

SIAM Journal on Matrix Analysis and Applications
Numerische Mathematik

Two recent papers authored include:

"Eigenpairs of Wilkinson Matrices," published in 2020 in the SIAM Journal on Matrix Analysis and Applications
"A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem," published in 2022 in Numerische Mathematik

In recognition of their work, Beresford N. Parlett was named a SIAM Fellow in 2011 for contributions to numerical linear algebra.

Best Publications

The Symmetric Eigenvalue Problem

Beresford N. Parlett

5133
Citations
Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations

J. R. Bunch;B. N. Parlett

537
Citations
The Lanczos algorithm with selective orthogonalization

B. N. Parlett;D. S. Scott

526
Citations
On generalized successive overrelaxation methods for augmented linear systems

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

451
Citations
Approximate solutions and eigenvalue bounds from Krylov subspaces

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

425
Citations
A Look Ahead Lanczos Algorithm for Unsymmetric Matrices

B. N. Parlett;D. Taylor

355
Citations
Accurate Singular Values and Differential QD Algorithms

K. V. Fernando;Beresford N. Parlett

248
Citations
The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices

B. N. Parlett

246
Citations
Balancing a matrix for calculation of eigenvalues and eigenvectors

B. N. Parlett;C. Reinsch

244
Citations
Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices

Inderjit S. Dhillon;Beresford N. Parlett

199
Citations
Orthogonal Eigenvectors and Relative Gaps

Inderjit S. Dhillon;Beresford N. Parlett

168
Citations
Reduction to tridiagonal form and minimal realizations

Beresford N. Parlett

168
Citations
A new look at the Lanczos algorithm for solving symmetric systems of linear equations

B.N. Parlett

163
Citations
Decomposition of a symmetric matrix

James R. Bunch;Linda Kaufman;Beresford N. Parlett

151
Citations
A recurrence among the elements of functions of triangular matrices

B.N. Parlett

144
Citations
Residual Bounds on Approximate Eigensystems of Nonnormal Matrices

W. Kahan;B. N. Parlett;E. Jiang

136
Citations
Laguerre's Method Applied to the Matrix Eigenvalue Problem

Beresford Parlett

136
Citations
The design and implementation of the MRRR algorithm

Inderjit S. Dhillon;Beresford N. Parlett;Christof Vömel

135
Citations
Lanczos versus subspace iteration for solution of eigenvalue problems

Bahram Nour-Omid;Beresford N. Parlett;Robert L. Taylor

120
Citations
Performance and Accuracy of LAPACK's Symmetric Tridiagonal Eigensolvers

James W. Demmel;Osni A. Marques;Beresford N. Parlett;Christof Vömel

116
Citations
The Symmetric Eigenvalue Problem.

James H. Wilkinson;Beresford N. Parlett

62
Citations

Frequent Co-Authors

Inderjit S. Dhillon Google (United States)

James Demmel University of California, Berkeley

Jakub Kurzak Advanced Micro Devices (Canada)

Piotr Luszczek University of Tennessee at Knoxville

Stanimire Tomov University of Tennessee at Knoxville

Jack Dongarra University of Tennessee at Knoxville

Michael A. Saunders Stanford University

Raymond H. Chan Lingnan University

Michele Benzi Scuola Normale Superiore di Pisa

Jan S. Hesthaven Karlsruhe Institute of Technology

External Links

Wikipedia of Beresford N. Parlett Personal website of Beresford N. Parlett

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