Gene H. Golub

According to our database, Gene H. Golub authored at least 117 papers between 1967 and 2009.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2009

A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem.

Raf Vandebril, Gene H. Golub, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2009

Solving Ellipsoid-Constrained Integer Least Squares Problems.

Xiao-Wen Chang, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2009

2008

Symmetric Tensors and Symmetric Tensor Rank.

Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain

SIAM J. Matrix Anal. Appl., 2008

Towards A Backward Perturbation Analysis For Data Least Squares Problems.

Xiao-Wen Chang, Gene H. Golub, Christopher C. Paige

SIAM J. Matrix Anal. Appl., 2008

Netlib and NA-Net: Building a Scientific Computing Community.

Jack J. Dongarra, Gene H. Golub, Eric H. Grosse, Cleve B. Moler, Keith Moore

IEEE Ann. Hist. Comput., 2008

2007

A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides.

Gene H. Golub, Daniel Ruiz, Ahmed Touhami

SIAM J. Matrix Anal. Appl., 2007

On the numerical condition of a generalized Hankel eigenvalue problem.

Bernhard Beckermann, Gene H. Golub, George Labahn

Numerische Mathematik, 2007

On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations.

Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng

Numer. Linear Algebra Appl., 2007

Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices.

Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li

Math. Comput., 2007

A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations.

Chris P. Lee, Gene H. Golub, Stefanos A. Zenios

Internet Math., 2007

Numerical Linear Algebra in Signal Processing Applications.

Nicola Mastronardi, Gene H. Golub, Shivkumar Chandrasekaran, Marc Moonen, Paul Van Dooren, Sabine Van Huffel

EURASIP J. Adv. Signal Process., 2007

Three results on the PageRank vector: eigenstructure, sensitivity, and the derivative.

David F. Gleich, Peter W. Glynn, Gene H. Golub, Chen Greif

Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

Ill-conditioned eigensystems and the computation of the Jordan canonical form.

Gene H. Golub, James Hardy Wilkinson

Proceedings of the Milestones in Matrix Computation, 2007

Calculation of Gauss quadrature rules.

Gene H. Golub, John H. Welsch

Proceedings of the Milestones in Matrix Computation, 2007

Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II.

Gene H. Golub, Richard S. Varga

Proceedings of the Milestones in Matrix Computation, 2007

The block Lanczos method for computing eigenvalues.

Gene H. Golub, Richard Underwood

Proceedings of the Milestones in Matrix Computation, 2007

Singular value decomposition and least squares solutions.

Gene H. Golub, Christian H. Reinsch

Proceedings of the Milestones in Matrix Computation, 2007

The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate.

Gene H. Golub, Víctor Pereyra

Proceedings of the Milestones in Matrix Computation, 2007

Matrices, moments, and quadrature.

Gene H. Golub, Gérard Meurant

Proceedings of the Milestones in Matrix Computation, 2007

An analysis of the total least squares problem.

Gene H. Golub, Charles F. Van Loan

Proceedings of the Milestones in Matrix Computation, 2007

Calculating the singular values and pseudo-inverse of a matrix.

Gene H. Golub, William Kahan

Proceedings of the Milestones in Matrix Computation, 2007

Generalized cross-validation as a method for choosing a good ridge parameter.

Gene H. Golub, Michael Heath, Grace Wahba

Proceedings of the Milestones in Matrix Computation, 2007

Methods for modifying matrix factorizations.

Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders

Proceedings of the Milestones in Matrix Computation, 2007

Computation of Gauss-Kronrod Quadrature Rules.

Gene H. Golub, Daniela Calvetti, William B. Gragg, Lothar Reichel

Proceedings of the Milestones in Matrix Computation, 2007

The numerically stable reconstruction of a Jacobi matrix from spectral data.

Gene H. Golub, Carl de Boor

Proceedings of the Milestones in Matrix Computation, 2007

The simplex method of linear programming using LU decomposition.

Gene H. Golub, Richard H. Bartels

Proceedings of the Milestones in Matrix Computation, 2007

Some modified matrix eigenvalue problems.

Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

References.

Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

Numerical methods for solving linear least squares problems.

Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

Students of Gene H. Golub.

Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

Major Awards.

Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

Publications of Gene H. Golub.

Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations.

Paul Concus, Dianne P. O'Leary, Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

A generalized conjugate gradient method for non-symmetric systems of linear equations.

Paul Concus, Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

On direct methods for solving Poisson's equation.

Billy L. Buzbee, Gene H. Golub, Claire W. Nielson

Proceedings of the Milestones in Matrix Computation, 2007

Numerical methods for computing angles between linear subspaces.

Åke Björck, Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems.

Zhong-Zhi Bai, Michael K. Ng, Gene H. Golub

Proceedings of the Milestones in Matrix Computation, 2007

2006

Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices.

Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li

SIAM J. Sci. Comput., 2006

On a Generalized Eigenvalue Problem for Nonsquare Pencils.

Delin Chu, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2006

A Class of Nonsymmetric Preconditioners for Saddle Point Problems.

Mike A. Botchev, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2006

Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation.

Daniele Bertaccini, Gene H. Golub, Stefano Serra Capizzano

SIAM J. Matrix Anal. Appl., 2006

A small note on the scaling of symmetric positive definite semiseparable matrices.

Raf Vandebril, Gene H. Golub, Marc Van Barel

Numer. Algorithms, 2006

Genericity And Rank Deficiency Of High Order Symmetric Tensors.

Pierre Comon, Bernard Mourrain, Lek-Heng Lim, Gene H. Golub

Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2005

Variable projection for near-optimal filtering in low bit-rate block coders.

Yaakov Tsaig, Michael Elad, Peyman Milanfar, Gene H. Golub

IEEE Trans. Circuits Syst. Video Technol., 2005

Multidimensional Integral Inversion, with Applications in Shape Reconstruction.

Annie A. M. Cuyt, Gene H. Golub, Peyman Milanfar, Brigitte Verdonk

SIAM J. Sci. Comput., 2005

Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems.

Zhong-Zhi Bai, Gene H. Golub, Linzhang Lu, Jun-Feng Yin

SIAM J. Sci. Comput., 2005

An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems.

Gene H. Golub, Chen Greif, James M. Varah

SIAM J. Matrix Anal. Appl., 2005

How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case.

Stefano Serra Capizzano, Daniele Bertaccini, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2005

The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach.

Gregory Boutry, Michael Elad, Gene H. Golub, Peyman Milanfar

SIAM J. Matrix Anal. Appl., 2005

Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation.

Daniele Bertaccini, Gene H. Golub, Stefano Serra Capizzano, Cristina Tablino Possio

Numerische Mathematik, 2005

Missing value estimation for DNA microarray gene expression data: local least squares imputation.

Hyunsoo Kim, Gene H. Golub, Haesun Park

Bioinform., 2005

2004

Shape from moments - an estimation theory perspective.

Michael Elad, Peyman Milanfar, Gene H. Golub

IEEE Trans. Signal Process., 2004

A Subspace Approximation Method for the Quadratic Eigenvalue Problem.

Urmi B. Holz, Gene H. Golub, Kincho H. Law

SIAM J. Matrix Anal. Appl., 2004

A Preconditioner for Generalized Saddle Point Problems.

Michele Benzi, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2004

Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems.

Zhong-Zhi Bai, Gene H. Golub, Jianyu Pan

Numerische Mathematik, 2004

Scaling by Binormalization.

Oren E. Livne, Gene H. Golub

Numer. Algorithms, 2004

Imputation of Missing Values in DNA Microarray Gene Expression Data.

Hyunsoo Kim, Gene H. Golub, Haesun Park

Proceedings of the 3rd International IEEE Computer Society Computational Systems Bioinformatics Conference, 2004

2003

Simultaneous Registration and Activation Detection for fMRI.

Jeff Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins

IEEE Trans. Medical Imaging, 2003

On Solving Block-Structured Indefinite Linear Systems.

Gene H. Golub, Chen Greif

SIAM J. Sci. Comput., 2003

Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems.

Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng

SIAM J. Matrix Anal. Appl., 2003

Extrapolation methods for accelerating PageRank computations.

Sepandar D. Kamvar, Taher H. Haveliwala, Christopher D. Manning, Gene H. Golub

Proceedings of the Twelfth International World Wide Web Conference, 2003

Overcoming activation-induced registration errors in fMRI.

Jeffery J. Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins

Proceedings of the Medical Imaging 2003: Image Processing, 2003

Optimal framework for low bit-rate block coders.

Yaakov Tsaig, Michael Elad, Gene H. Golub, Peyman Milanfar

Proceedings of the 2003 International Conference on Image Processing, 2003

2002

An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems.

Gene H. Golub, Qiang Ye

SIAM J. Sci. Comput., 2002

Block Orderings for Tensor-Product Grids in Two and Three Dimensions.

Gene H. Golub, Chen Greif, James M. Varah

Numer. Algorithms, 2002

2001

Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement.

Nhat Nguyen, Peyman Milanfar, Gene H. Golub

IEEE Trans. Image Process., 2001

A computationally efficient superresolution image reconstruction algorithm.

Nhat Nguyen, Peyman Milanfar, Gene H. Golub

IEEE Trans. Image Process., 2001

Rank-One Approximation to High Order Tensors.

Tong Zhang, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2001

A parallel balance scheme for banded linear systems.

Gene H. Golub, Ahmed H. Sameh, Vivek Sarin

Numer. Linear Algebra Appl., 2001

2000

A Note on Preconditioning for Indefinite Linear Systems.

Malcolm F. Murphy, Gene H. Golub, Andrew J. Wathen

SIAM J. Sci. Comput., 2000

Computing the SVD of a General Matrix Product/Quotient.

Gene H. Golub, Knut Sølna, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2000

On the preconditioning of matrices with skew-symmetric splittings.

Gene H. Golub, Denis Vanderstraeten

Numer. Algorithms, 2000

Computation of Gauss-Kronrod quadrature rules.

Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel

Math. Comput., 2000

1999

Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration.

Gene H. Golub, Qiang Ye

SIAM J. Sci. Comput., 1999

A Stable Numerical Method for Inverting Shape from Moments.

Gene H. Golub, Peyman Milanfar, James M. Varah

SIAM J. Sci. Comput., 1999

A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration.

Tony F. Chan, Gene H. Golub, Pep Mulet

SIAM J. Sci. Comput., 1999

Tikhonov Regularization and Total Least Squares.

Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary

SIAM J. Matrix Anal. Appl., 1999

On Some Eigenvector-Eigenvalue Relations.

Sylvan Elhay, Graham M. L. Gladwell, Gene H. Golub, Yitshak M. Ram

SIAM J. Matrix Anal. Appl., 1999

An Efficient Algorithm for a Bounded Errors-in-Variables Model.

Shiv Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed

SIAM J. Matrix Anal. Appl., 1999

Preconditioners for regularized image superresolution.

Nhat Nguyen, Gene H. Golub, Peyman Milanfar

Proceedings of the 1999 IEEE International Conference on Acoustics, 1999

1998

Parameter Estimation in the Presence of Bounded Data Uncertainties.

Shivkumar Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed

SIAM J. Matrix Anal. Appl., January, 1998

An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations.

Gene H. Golub, Andrew J. Wathen

SIAM J. Sci. Comput., 1998

A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier-Stokes Equations.

Gene H. Golub, Lan Chieh Huang, Horst D. Simon, Wei-Pai Tang

SIAM J. Sci. Comput., 1998

Adaptively Preconditioned GMRES Algorithms.

James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel

SIAM J. Sci. Comput., 1998

On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems.

Tong Zhang, Kincho H. Law, Gene H. Golub

SIAM J. Sci. Comput., 1998

Rank Modifications of Semidefinite Matrices Associated with a Secant Update Formula.

Moody T. Chu, Robert E. Funderlic, Gene H. Golub

SIAM J. Matrix Anal. Appl., 1998

Some Unusual Eigenvalue Problems.

Zhaojun Bai, Gene H. Golub

Proceedings of the Vector and Parallel Processing, 1998

1997

On a Variational Formulation of the Generalized Singular Value Decomposition.

Moody T. Chu, Robert E. Funderlic, Gene H. Golub

SIAM J. Matrix Anal. Appl., October, 1997

Parameter estimation in the presence of bounded modeling errors.

Shivkumar Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed

IEEE Signal Process. Lett., 1997

Regularization by Truncated Total Least Squares.

Ricardo D. Fierro, Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary

SIAM J. Sci. Comput., 1997

1996

Approximating dominant singular triplets of large sparse matrices via modified moments.

Sowmini Varadhan, Michael W. Berry, Gene H. Golub

Numer. Algorithms, 1996

Optimal Surface Smoothing as Filter Design.

Gabriel Taubin, Tong Zhang, Gene H. Golub

Proceedings of the Computer Vision, 1996

Matrix Computations, Third Edition.

Gene H. Golub, Charles F. Van Loan

Johns Hopkins University Press, ISBN: 978-0-8018-5414-9, 1996

1995

Floating Point Fault Tolerance with Backward Error Assertions.

Daniel Boley, Gene H. Golub, Samy Makar, Nirmal R. Saxena, Edward J. McCluskey

IEEE Trans. Computers, 1995

A Rank-One Reduction Formula and Its Applications to Matrix Factorizations.

Moody T. Chu, Robert Funderlic, Gene H. Golub

SIAM Rev., 1995

Matrix shapes invariant under the symmetric QR algorithm.

Peter Arbenz, Gene H. Golub

Numer. Linear Algebra Appl., 1995

Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators.

S. H. Lui, Gene H. Golub

Numer. Algorithms, 1995

1994

Estimates in quadratic formulas.

Gene H. Golub, Zdenek Strakos

Numer. Algorithms, 1994

A multishift QR iteration without computation of the shifts.

Augustin A. Dubrulle, Gene H. Golub

Numer. Algorithms, 1994

1993

A robust numerical approach for array calibration.

Shilpa Talwar, Arogyaswami Paulraj, Gene H. Golub

Proceedings of the IEEE International Conference on Acoustics, 1993

1992

Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems.

Howard C. Elman, Gene H. Golub

SIAM J. Sci. Comput., 1992

Introduction.

Thomas A. Manteuffel, Gene H. Golub

SIAM J. Matrix Anal. Appl., 1992

Algorithmic Fault Tolerance Using the Lanczos Method.

Daniel Boley, Richard P. Brent, Gene H. Golub, Franklin T. Luk

SIAM J. Matrix Anal. Appl., 1992

QR-Like Algorithms for Symmetric Arrow Matrices.

Peter Arbenz, Gene H. Golub

SIAM J. Matrix Anal. Appl., 1992

1991

Adaptive Lanczos methods for recursive condition estimation.

William R. Ferng, Gene H. Golub, Robert J. Plemmons

Numer. Algorithms, 1991

Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights.

Daniel Boley, Sylvan Elhay, Gene H. Golub, Martin H. Gutknecht

Numer. Algorithms, 1991

Estimating the largest singular values of large sparse matrices via modified moments.

Michael W. Berry, Gene H. Golub

Numer. Algorithms, 1991

1990

Tracking a few extreme singular values and vectors in signal processing.

Pierre Comon, Gene H. Golub

Proc. IEEE, 1990

1989

Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976.

Gene H. Golub, Dianne P. O'Leary

SIAM Rev., 1989

1981

A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix.

Gene H. Golub, Franklin T. Luk, Michael L. Overton

ACM Trans. Math. Softw., 1981

1978

Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method.

Paul Concus, Gene H. Golub, Dianne P. O'Leary

Computing, 1978

1969

Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5].

Peter A. Businger, Gene H. Golub

Commun. ACM, 1969

Algorithm 350: simplex method procedure employing Lu decomposition [H].

Richard H. Bartels, Gene H. Golub

Commun. ACM, 1969

The simplex method of linear programming using LU decomposition.

Richard H. Bartels, Gene H. Golub

Commun. ACM, 1969

1968

Algorithms: Algorithm 328: Chebyshev solution to an overdetermined linear system.

Richard H. Bartels, Gene H. Golub

Commun. ACM, 1968

Numerical Analysis: Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations.

Richard H. Bartels, Gene H. Golub

Commun. ACM, 1968

1967

A generalized Bairstow algorithm.

Gene H. Golub, T. N. Robertson

Commun. ACM, 1967