Beresford N. Parlett

45 papers A 1Journal 36Unranked 7
YearRankTypeTitle / Venue / Authors
2022 J jnl
A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem.
Numerische Mathematik
Carla Ferreira, Beresford N. Parlett
2020 J jnl
Eigenpairs of Wilkinson Matrices.
SIAM J. Matrix Anal. Appl.
Carla Ferreira, Beresford N. Parlett
2016 J jnl
The Inverse Eigenvector Problem for Real Tridiagonal Matrices.
SIAM J. Matrix Anal. Appl.
Beresford N. Parlett, Froilán M. Dopico, Carla Ferreira
2014 J jnl
An Improved DQDS Algorithm.
SIAM J. Sci. Comput.
Shengguo Li, Ming Gu, Beresford N. Parlett
2014 — conf
Multi-Scale Spectral Decomposition of Massive Graphs.
NIPS
Si Si, Donghyuk Shin, Inderjit S. Dhillon, Beresford N. Parlett
2012 J jnl
Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix.
Numerische Mathematik
Carla Ferreira, Beresford N. Parlett, Froilán M. Dopico
2011 J jnl
Detecting Localization in an Invariant Subspace.
SIAM J. Sci. Comput.
Christof Vömel, Beresford N. Parlett
2011 J jnl
The Transformation of Second-Order Linear Systems into Independent Equations.
SIAM J. Appl. Math.
Matthias Morzfeld, Fai Ma, Beresford N. Parlett
2010 J jnl
Revelations of a transposition matrix.
J. Comput. Appl. Math.
Augustin A. Dubrulle, Beresford N. Parlett
2009 J jnl
Convergence of LR algorithm for a one-point spectrum tridiagonal matrix.
Numerische Mathematik
Carla Ferreira, Beresford N. Parlett
2009 J jnl
The Spectrum of a Glued Matrix.
SIAM J. Matrix Anal. Appl.
Beresford N. Parlett, Christof Vömel
2008 J jnl
Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers.
ACM Trans. Math. Softw.
Osni Marques, Christof Vömel, James Demmel, Beresford N. Parlett
2008 J jnl
On nonsymmetric saddle point matrices that allow conjugate gradient iterations.
Numerische Mathematik
Jörg Liesen, Beresford N. Parlett
2008 J jnl
Performance and Accuracy of LAPACK's Symmetric Tridiagonal Eigensolvers.
SIAM J. Sci. Comput.
James Demmel, Osni Marques, Beresford N. Parlett, Christof Vömel
2007 — ch.
Prospectus for a Dense Linear Algebra Software Library.
Handbook of Parallel Computing
Yozo Hida, James Demmel, Julien Langou, Jakub Kurzak, Ming Gu, Alfredo Buttari, Stanimire Tomov, Piotr Luszczek, Julie Langou, Osni Marques, Christof Vömel, Xiaoye S. Li, E. Jason Riedy, Jack J. Dongarra, William Kahan, Beresford N. Parlett, David Bindel
2006 J jnl
Computations of eigenpair subsets with the MRRR algorithm.
Numer. Linear Algebra Appl.
Osni A. Marques, Beresford N. Parlett, Christof Vömel
2006 — conf
Prospectus for the Next LAPACK and ScaLAPACK Libraries.
PARA
James Demmel, Jack J. Dongarra, Beresford N. Parlett, William Kahan, Ming Gu, David Bindel, Yozo Hida, Xiaoye S. Li, Osni Marques, E. Jason Riedy, Christof Vömel, Julien Langou, Piotr Luszczek, Jakub Kurzak, Alfredo Buttari, Julie Langou, Stanimire Tomov
2006 J jnl
The design and implementation of the MRRR algorithm.
ACM Trans. Math. Softw.
Inderjit S. Dhillon, Beresford N. Parlett, Christof Vömel
2005 J jnl
A Bidiagonal Matrix Determines Its Hyperbolic SVD to Varied Relative Accuracy.
SIAM J. Matrix Anal. Appl.
Beresford N. Parlett
2005 J jnl
Glued Matrices and the MRRR Algorithm.
SIAM J. Sci. Comput.
Inderjit S. Dhillon, Beresford N. Parlett, Christof Vömel
2005 J jnl
On generalized successive overrelaxation methods for augmented linear systems.
Numerische Mathematik
Zhong-Zhi Bai, Beresford N. Parlett, Zeng-Qi Wang
2005 J jnl
Topological Lines in 3D Tensor Fields and Discriminant Hessian Factorization.
IEEE Trans. Vis. Comput. Graph.
Xiaoqiang Zheng, Beresford N. Parlett, Alex Pang
2005 A conf
Topological Structures of 3D Tensor Fields.
IEEE Visualization
Xiaoqiang Zheng, Beresford N. Parlett, Alex Pang
2003 J jnl
Orthogonal Eigenvectors and Relative Gaps.
SIAM J. Matrix Anal. Appl.
Inderjit S. Dhillon, Beresford N. Parlett
2003 J jnl
Perturbation of Eigenpairs of Factored Symmetric Tridiagonal Matrices.
Found. Comput. Math.
Beresford N. Parlett
2003 J jnl
The spectral diameter as a function of the diagonal entries.
Numer. Linear Algebra Appl.
Beresford N. Parlett
2002 J jnl
The Largest Eigenvalue of a Positive Definite Symmetric Matrix: 10839.
Am. Math. Mon.
Beresford N. Parlett, Olaf Krafft, Martin Schaefer
2000 J jnl
Problem 10839.
Am. Math. Mon.
Beresford N. Parlett
2000 J jnl
The QR algorithm.
Comput. Sci. Eng.
Beresford N. Parlett
1997 — conf
Application of a New Algorithm for the Symmetric Eigenproblem to Computational Quantum Chemistry.
PP
Inderjit S. Dhillon, George Fann, Beresford N. Parlett
1995 J jnl
Approximate solutions and eigenvalue bounds from Krylov subspaces.
Numer. Linear Algebra Appl.
Chris C. Paige, Beresford N. Parlett, Henk A. van der Vorst
1995 J jnl
Implicit Cholesky algorithms for singular values and vectors of triangular matrices.
Numer. Linear Algebra Appl.
K. Vince Fernando, Beresford N. Parlett
1995 — conf
Singular Vectors via Differential qd.
PP
Beresford N. Parlett, K. Vince Fernando
1994 J jnl
Computing Extremal Singular Triplets of Sparse Matrices on a Shared-Memory Multiprocessor.
Int. J. High Speed Comput.
Michael W. Berry, Beresford N. Parlett, Ahmed H. Sameh
1993 J jnl
Forward Instability of Tridiagonal QR.
SIAM J. Matrix Anal. Appl.
Beresford N. Parlett, Jian Le
1992 J jnl
Reduction to Tridiagonal Form and Minimal Realizations.
SIAM J. Matrix Anal. Appl.
Beresford N. Parlett
1992 J jnl
Refined Interlacing Properties.
SIAM J. Matrix Anal. Appl.
R. O. Hill Jr., Beresford N. Parlett
1990 J jnl
A note on communication analysis of parallel sparse Cholesky factorization on a hypercube.
Parallel Comput.
Feng Gao, Beresford N. Parlett
1987 — conf
J. H. Wilkinson's work and influence on matrix computations.
HSNC
Beresford N. Parlett
1977 J jnl
Algorithm 517: A Program for Computing the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors [F2].
ACM Trans. Math. Softw.
S. P. Chan, R. Feldman, Beresford N. Parlett
1975 J jnl
The Influence of the Compiler on the Cost of Mathematical Software - In Particular on the Cost of Triangular Factorization.
ACM Trans. Math. Softw.
Beresford N. Parlett, Y. Wang
1968 — conf
On the convergence of a practical QR algorithm.
IFIP Congress (1)
Beresford N. Parlett, William Kahan
1967 J jnl
Correspondence.
Comput. J.
Beresford N. Parlett
1966 J jnl
Convergence of the Q-R algorithm for Hessenberg matrices.
Commun. ACM
Beresford N. Parlett
1966 — conf
Necessary and sufficient conditions for convergence of the QR algorithm on Hessenberg matrix.
ACM National Conference
Beresford N. Parlett