Beresford N. Parlett - researchr alias

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2022

A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problemCarla Ferreira 0002, Beresford N. Parlett. nm, 150(2):373-422, 2022. [doi]

2020

Eigenpairs of Wilkinson MatricesCarla Ferreira 0002, Beresford N. Parlett. siammax, 41(3):1388-1415, 2020. [doi]

2016

The Inverse Eigenvector Problem for Real Tridiagonal MatricesBeresford N. Parlett, Froilán M. Dopico, Carla Ferreira. siammax, 37(2):577-597, 2016. [doi]

2014

An Improved DQDS AlgorithmShengguo Li, Ming Gu, Beresford N. Parlett. siamsc, 36(3), 2014. [doi]

Multi-Scale Spectral Decomposition of Massive GraphsSi Si, Donghyuk Shin, Inderjit S. Dhillon, Beresford N. Parlett. nips 2014: 2798-2806 [doi]

2012

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrixCarla Ferreira, Beresford N. Parlett, Froilán M. Dopico. nm, 122(3):527-555, 2012. [doi]

2011

The Transformation of Second-Order Linear Systems into Independent EquationsMatthias Morzfeld, Fai Ma, Beresford N. Parlett. siamam, 71(4):1026-1043, 2011. [doi]

Detecting Localization in an Invariant SubspaceChristof Vömel, Beresford N. Parlett. siamsc, 33(6):3447-3467, 2011. [doi]

2010

Revelations of a transposition matrixA. A. Dubrulle, Beresford N. Parlett. jcam, 233(5):1217-1219, 2010. [doi]

2009

Convergence of LR algorithm for a one-point spectrum tridiagonal matrixCarla Ferreira, Beresford N. Parlett. nm, 113(3):417-431, 2009. [doi]

The Spectrum of a Glued MatrixBeresford N. Parlett, Christof Vömel. siammax, 31(1):114-132, 2009. [doi]

2008

Performance and Accuracy of LAPACK s Symmetric Tridiagonal EigensolversJames Demmel, Osni Marques, Beresford N. Parlett, Christof Vömel. siamsc, 30(3):1508-1526, 2008. [doi]

On nonsymmetric saddle point matrices that allow conjugate gradient iterationsJörg Liesen, Beresford N. Parlett. nm, 108(4):605-624, 2008. [doi]

Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolversOsni Marques, Christof Vömel, James Demmel, Beresford N. Parlett. TOMS, 35(1), 2008. [doi]

2006

2005

2003

Orthogonal Eigenvectors and Relative GapsInderjit S. Dhillon, Beresford N. Parlett. siammax, 25(3):858-899, 2003. [doi]

Perturbation of Eigenpairs of Factored Symmetric Tridiagonal MatricesBeresford N. Parlett. focm, 3(2):207-223, 2003. [doi]

The spectral diameter as a function of the diagonal entriesBeresford N. Parlett. nla, 10(7):595-602, 2003. [doi]

2002

The Largest Eigenvalue of a Positive Definite Symmetric Matrix: 10839Beresford N. Parlett, Olaf Krafft, Martin Schaefer. tamm, 109(10):922-923, 2002. [doi]

2000

Problem 10839Beresford N. Parlett. tamm, 107(10):950, 2000. [doi]

The QR algorithmBeresford N. Parlett. cse, 2(1):38-42, 2000. [doi]

1997

Application of a New Algorithm for the Symmetric Eigenproblem to Computational Quantum ChemistryInderjit S. Dhillon, George Fann, Beresford N. Parlett. ppsc 1997:

1995

Implicit Cholesky algorithms for singular values and vectors of triangular matricesK. Vince Fernando, Beresford N. Parlett. nla, 2(6):507-531, 1995. [doi]

Approximate solutions and eigenvalue bounds from Krylov subspacesChris C. Paige, Beresford N. Parlett, Henk A. van der Vorst. nla, 2(2):115-133, 1995. [doi]

Singular Vectors via Differential qdBeresford N. Parlett, K. Vince Fernando. ppsc 1995: 564-568

1994

Computing Extremal Singular Triplets of Sparse Matrices on a Shared-Memory MultiprocessorM. W. Berry, Beresford N. Parlett, Ahmed H. Sameh. ijhsc, 6(2):239-275, 1994. [doi]

1993

Forward Instability of Tridiagonal QRBeresford N. Parlett, Jian Le. siammax, 14(1):279-316, January 1993. [doi]

1992

Refined Interlacing PropertiesR. O. Hill Jr., Beresford N. Parlett. siammax, 13(1):239-247, 1992. [doi]

Reduction to Tridiagonal Form and Minimal RealizationsBeresford N. Parlett. siammax, 13(2):567-593, 1992. [doi]

1990

A note on communication analysis of parallel sparse Cholesky factorization on a hypercubeFeng Gao 0002, Beresford N. Parlett. pc, 16(1):59-60, 1990.

1987

J. H. Wilkinson's work and influence on matrix computationsBeresford N. Parlett. hsnc 1987: 133-138 [doi]

1977

Algorithm 517: A Program for Computing the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors [F2]S. P. Chan, R. Feldman, Beresford N. Parlett. TOMS, 3(2):186-203, 1977. [doi]

1975

The Influence of the Compiler on the Cost of Mathematical Software - In Particular on the Cost of Triangular FactorizationBeresford N. Parlett, Y. Wang. TOMS, 1(1):35-46, 1975. [doi]

1968

On the convergence of a practical QR algorithmBeresford N. Parlett, William Kahan. ifip 1968: 114-118

1967

CorrespondenceBeresford N. Parlett. cj, 9(4):344-345, 1967. [doi]

1966

Convergence of the Q-R algorithm for Hessenberg matricesBeresford N. Parlett. CACM, 9(7):475, 1966. [doi]

Necessary and sufficient conditions for convergence of the QR algorithm on Hessenberg matrixBeresford N. Parlett. acm 1966: 13-19 [doi]

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