Beresford N. Parlett

Numerische Mathematik, 2022

2020

Eigenpairs of Wilkinson Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2020

2016

The Inverse Eigenvector Problem for Real Tridiagonal Matrices.

[BibT_eX]

[DOI]

Froilán M. Dopico

SIAM J. Matrix Anal. Appl., 2016

2014

An Improved DQDS Algorithm.

[BibT_eX]

[DOI]

Shengguo Li

Ming Gu

SIAM J. Sci. Comput., 2014

Multi-Scale Spectral Decomposition of Massive Graphs.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 27: Annual Conference on Neural Information Processing Systems 2014, 2014

2012

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix.

[BibT_eX]

[DOI]

Froilán M. Dopico

Numerische Mathematik, 2012

2011

Detecting Localization in an Invariant Subspace.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

The Transformation of Second-Order Linear Systems into Independent Equations.

[BibT_eX]

[DOI]

Matthias Morzfeld

Fai Ma

SIAM J. Appl. Math., 2011

2010

Revelations of a transposition matrix.

[BibT_eX]

[DOI]

Augustin A. Dubrulle

J. Comput. Appl. Math., 2010

2009

The Spectrum of a Glued Matrix.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

Convergence of LR algorithm for a one-point spectrum tridiagonal matrix.

[BibT_eX]

[DOI]

Numerische Mathematik, 2009

2008

Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2008

Performance and Accuracy of LAPACK's Symmetric Tridiagonal Eigensolvers.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

On nonsymmetric saddle point matrices that allow conjugate gradient iterations.

[BibT_eX]

[DOI]

Jörg Liesen

Numerische Mathematik, 2008

2007

Prospectus for a Dense Linear Algebra Software Library.

[BibT_eX]

[DOI]

Proceedings of the Handbook of Parallel Computing - Models, Algorithms and Applications., 2007

2006

The design and implementation of the MRRR algorithm.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

Computations of eigenpair subsets with the MRRR algorithm.

[BibT_eX]

[DOI]

Osni A. Marques

Numer. Linear Algebra Appl., 2006

Prospectus for the Next LAPACK and ScaLAPACK Libraries.

[BibT_eX]

[DOI]

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

2005

Topological Lines in 3D Tensor Fields and Discriminant Hessian Factorization.

[BibT_eX]

[DOI]

Xiaoqiang Zheng

Alex Pang

IEEE Trans. Vis. Comput. Graph., 2005

Glued Matrices and the MRRR Algorithm.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2005

A Bidiagonal Matrix Determines Its Hyperbolic SVD to Varied Relative Accuracy.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

On generalized successive overrelaxation methods for augmented linear systems.

[BibT_eX]

[DOI]

Zhong-Zhi Bai

Zeng-Qi Wang

Numerische Mathematik, 2005

Topological Structures of 3D Tensor Fields.

[BibT_eX]

[DOI]

Xiaoqiang Zheng

Alex Pang

Proceedings of the 16th IEEE Visualization Conference, 2005

2003

Orthogonal Eigenvectors and Relative Gaps.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2003

The spectral diameter as a function of the diagonal entries.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2003

Perturbation of Eigenpairs of Factored Symmetric Tridiagonal Matrices.

[BibT_eX]

[DOI]

Found. Comput. Math., 2003

2002

The Largest Eigenvalue of a Positive Definite Symmetric Matrix: 10839.

[BibT_eX]

[DOI]

Olaf Krafft

Martin Schaefer

Am. Math. Mon., 2002

2000

Problem 10839.

[BibT_eX]

[DOI]

Am. Math. Mon., 2000

The QR algorithm.

[BibT_eX]

[DOI]

Comput. Sci. Eng., 2000

1997

Application of a New Algorithm for the Symmetric Eigenproblem to Computational Quantum Chemistry.

[BibT_eX]

George Fann

Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997

1995

Approximate solutions and eigenvalue bounds from Krylov subspaces.

[BibT_eX]

[DOI]

Chris C. Paige

Henk A. van der Vorst

Numer. Linear Algebra Appl., 1995

Implicit Cholesky algorithms for singular values and vectors of triangular matrices.

[BibT_eX]

[DOI]

K. Vince Fernando

Numer. Linear Algebra Appl., 1995

Singular Vectors via Differential qd.

[BibT_eX]

K. Vince Fernando

Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

1994

Computing Extremal Singular Triplets of Sparse Matrices on a Shared-Memory Multiprocessor.

[BibT_eX]

[DOI]

Michael W. Berry

Ahmed H. Sameh

Int. J. High Speed Comput., 1994

1993

Forward Instability of Tridiagonal QR.

[BibT_eX]

[DOI]

Jian Le

SIAM J. Matrix Anal. Appl., January, 1993

1992

Reduction to Tridiagonal Form and Minimal Realizations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1992

Refined Interlacing Properties.

[BibT_eX]

[DOI]

R. O. Hill Jr.

SIAM J. Matrix Anal. Appl., 1992

1990

A note on communication analysis of parallel sparse Cholesky factorization on a hypercube.

[BibT_eX]

[DOI]

Feng Gao

Parallel Comput., 1990

1987

J. H. Wilkinson's work and influence on matrix computations.

[BibT_eX]

[DOI]

Proceedings of the ACM Conference on History of Scientific and Numeric Computation, 1987

1977

Algorithm 517: A Program for Computing the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors [F2].

[BibT_eX]

[DOI]

S. P. Chan

R. Feldman

ACM Trans. Math. Softw., 1977

1975

The Influence of the Compiler on the Cost of Mathematical Software - In Particular on the Cost of Triangular Factorization.

[BibT_eX]

[DOI]

Y. Wang

ACM Trans. Math. Softw., 1975

1968

On the convergence of a practical QR algorithm.

[BibT_eX]

William Kahan

Proceedings of the Information Processing, Proceedings of IFIP Congress 1968, Edinburgh, UK, 5-10 August 1968, Volume 1, 1968

1967

Correspondence.

[BibT_eX]

[DOI]

Comput. J., 1967

1966

Convergence of the Q-R algorithm for Hessenberg matrices.

[BibT_eX]

[DOI]

Commun. ACM, 1966

Necessary and sufficient conditions for convergence of the QR algorithm on Hessenberg matrix.

[BibT_eX]

[DOI]