Necessary and sufficient conditions for convergence of the QR algorithm on Hessenberg matrix. - Beresford N. Parlett (ACM National Conference, 1966)

Convergence of the Q-R algorithm for Hessenberg matrices. - Beresford N. Parlett (Commun. ACM, 1966)

Correspondence. - Beresford N. Parlett (Comput. J., 1967)

On the convergence of a practical QR algorithm. - Beresford N. Parlett; William Kahan (IFIP Congress (1), 1968)

The Influence of the Compiler on the Cost of Mathematical Software - In Particular on the Cost of Triangular Factorization. - Beresford N. Parlett; Y. Wang (ACM Trans. Math. Softw., 1975)

Algorithm 517: A Program for Computing the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors [F2]. - S. P. Chan; R. Feldman; Beresford N. Parlett (ACM Trans. Math. Softw., 1977)

J. H. Wilkinson's work and influence on matrix computations. - Beresford N. Parlett (HSNC, 1987)

A note on communication analysis of parallel sparse Cholesky factorization on a hypercube. - Feng Gao 002; Beresford N. Parlett (Parallel Comput., 1990)

Refined Interlacing Properties. - R. O. Hill Jr.; Beresford N. Parlett (SIAM J. Matrix Anal. Appl., 1992)

Reduction to Tridiagonal Form and Minimal Realizations. - Beresford N. Parlett (SIAM J. Matrix Anal. Appl., 1992)

Forward Instability of Tridiagonal QR. - Beresford N. Parlett; Jian Le (SIAM J. Matrix Anal. Appl., 1993)

Computing Extremal Singular Triplets of Sparse Matrices on a Shared-Memory Multiprocessor. - Michael W. Berry; Beresford N. Parlett; Ahmed H. Sameh (Int. J. High Speed Comput., 1994)

Singular Vectors via Differential qd. - Beresford N. Parlett; K. Vince Fernando (PP, 1995)

Implicit Cholesky algorithms for singular values and vectors of triangular matrices. - K. Vince Fernando; Beresford N. Parlett (Numer. Linear Algebra Appl., 1995)

Approximate solutions and eigenvalue bounds from Krylov subspaces. - Chris C. Paige; Beresford N. Parlett; Henk A. van der Vorst (Numer. Linear Algebra Appl., 1995)

Application of a New Algorithm for the Symmetric Eigenproblem to Computational Quantum Chemistry. - Inderjit S. Dhillon; George Fann; Beresford N. Parlett (PP, 1997)

The QR algorithm. - Beresford N. Parlett (Comput. Sci. Eng., 2000)

Problem 10839. - Beresford N. Parlett (Am. Math. Mon., 2000)

The Largest Eigenvalue of a Positive Definite Symmetric Matrix: 10839. - Beresford N. Parlett; Olaf Krafft; Martin Schaefer (Am. Math. Mon., 2002)

Perturbation of Eigenpairs of Factored Symmetric Tridiagonal Matrices. - Beresford N. Parlett (Found. Comput. Math., 2003)

The spectral diameter as a function of the diagonal entries. - Beresford N. Parlett (Numer. Linear Algebra Appl., 2003)

Orthogonal Eigenvectors and Relative Gaps. - Inderjit S. Dhillon; Beresford N. Parlett (SIAM J. Matrix Anal. Appl., 2003)

Topological Structures of 3D Tensor Fields. - Xiaoqiang Zheng; Beresford N. Parlett; Alex Pang (IEEE Visualization, 2005)

On generalized successive overrelaxation methods for augmented linear systems. - Zhong-Zhi Bai; Beresford N. Parlett; Zeng-Qi Wang (Numerische Mathematik, 2005)

A Bidiagonal Matrix Determines Its Hyperbolic SVD to Varied Relative Accuracy. - Beresford N. Parlett (SIAM J. Matrix Anal. Appl., 2005)

Glued Matrices and the MRRR Algorithm. - Inderjit S. Dhillon; Beresford N. Parlett; Christof Vömel (SIAM J. Sci. Comput., 2005)

Topological Lines in 3D Tensor Fields and Discriminant Hessian Factorization. - Xiaoqiang Zheng; Beresford N. Parlett; Alex Pang (IEEE Trans. Vis. Comput. Graph., 2005)

Prospectus for the Next LAPACK and ScaLAPACK Libraries. - James Demmel; Jack J. Dongarra; Beresford N. Parlett; William Kahan; Ming Gu 002; David Bindel; Yozo Hida; Xiaoye S. Li; Osni Marques; E. Jason Riedy; Christof Vömel; Julien Langou; et al. (PARA, 2006)

Computations of eigenpair subsets with the MRRR algorithm. - Osni A. Marques; Beresford N. Parlett; Christof Vömel (Numer. Linear Algebra Appl., 2006)

The design and implementation of the MRRR algorithm. - Inderjit S. Dhillon; Beresford N. Parlett; Christof Vömel (ACM Trans. Math. Softw., 2006)

Prospectus for a Dense Linear Algebra Software Library. - Yozo Hida; James Demmel; Julien Langou; Jakub Kurzak; Ming Gu 002; Alfredo Buttari; Stanimire Tomov; Piotr Luszczek; Julie Langou; Osni Marques; Christof Vömel; Xiaoye S. Li; et al. (Handbook of Parallel Computing, 2007)

On nonsymmetric saddle point matrices that allow conjugate gradient iterations. - Jörg Liesen; Beresford N. Parlett (Numerische Mathematik, 2008)

Performance and Accuracy of LAPACK's Symmetric Tridiagonal Eigensolvers. - James Demmel; Osni Marques; Beresford N. Parlett; Christof Vömel (SIAM J. Sci. Comput., 2008)

Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers. - Osni Marques; Christof Vömel; James Demmel; Beresford N. Parlett (ACM Trans. Math. Softw., 2008)

Convergence of LR algorithm for a one-point spectrum tridiagonal matrix. - Carla Ferreira 002; Beresford N. Parlett (Numerische Mathematik, 2009)

The Spectrum of a Glued Matrix. - Beresford N. Parlett; Christof Vömel (SIAM J. Matrix Anal. Appl., 2009)

Revelations of a transposition matrix. - Augustin A. Dubrulle; Beresford N. Parlett (J. Comput. Appl. Math., 2010)

The Transformation of Second-Order Linear Systems into Independent Equations. - Matthias Morzfeld; Fai Ma; Beresford N. Parlett (SIAM J. Appl. Math., 2011)

Detecting Localization in an Invariant Subspace. - Christof Vömel; Beresford N. Parlett (SIAM J. Sci. Comput., 2011)

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. - Carla Ferreira 002; Beresford N. Parlett; Froilán M. Dopico (Numerische Mathematik, 2012)

Multi-Scale Spectral Decomposition of Massive Graphs. - Si Si; Donghyuk Shin; Inderjit S. Dhillon; Beresford N. Parlett (NIPS, 2014)

An Improved DQDS Algorithm. - Shengguo Li; Ming Gu 002; Beresford N. Parlett (SIAM J. Sci. Comput., 2014)

The Inverse Eigenvector Problem for Real Tridiagonal Matrices. - Beresford N. Parlett; Froilán M. Dopico; Carla Ferreira 002 (SIAM J. Matrix Anal. Appl., 2016)

Eigenpairs of Wilkinson Matrices. - Carla Ferreira 002; Beresford N. Parlett (SIAM J. Matrix Anal. Appl., 2020)

A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem. - Carla Ferreira 002; Beresford N. Parlett (Numerische Mathematik, 2022)