Gene H. Golub

118 papers A* 1B 1Misc 1Journal 82Unranked 7
YearRankTypeTitle / Venue / Authors
2009 J jnl
A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem.
SIAM J. Matrix Anal. Appl.
Raf Vandebril, Gene H. Golub, Marc Van Barel
2009 J jnl
Solving Ellipsoid-Constrained Integer Least Squares Problems.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Gene H. Golub
2008 J jnl
Netlib and NA-Net: Building a Scientific Computing Community.
IEEE Ann. Hist. Comput.
Jack J. Dongarra, Gene H. Golub, Eric H. Grosse, Cleve B. Moler, Keith Moore
2008 J jnl
Symmetric Tensors and Symmetric Tensor Rank.
SIAM J. Matrix Anal. Appl.
Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain
2008 J jnl
Towards A Backward Perturbation Analysis For Data Least Squares Problems.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Gene H. Golub, Christopher C. Paige
2007 J jnl
A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides.
SIAM J. Matrix Anal. Appl.
Gene H. Golub, Daniel Ruiz, Ahmed Touhami
2007 J jnl
A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations.
Internet Math.
Chris P. Lee, Gene H. Golub, Stefanos A. Zenios
2007 — ch.
A generalized conjugate gradient method for non-symmetric systems of linear equations.
Milestones in Matrix Computation
Paul Concus, Gene H. Golub
2007 — ch.
A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations.
Milestones in Matrix Computation
Paul Concus, Dianne P. O'Leary, Gene H. Golub
2007 — ch.
An analysis of the total least squares problem.
Milestones in Matrix Computation
Gene H. Golub, Charles F. Van Loan
2007 — ch.
Calculating the singular values and pseudo-inverse of a matrix.
Milestones in Matrix Computation
Gene H. Golub, William Kahan
2007 — ch.
Calculation of Gauss quadrature rules.
Milestones in Matrix Computation
Gene H. Golub, John H. Welsch
2007 — ch.
Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II.
Milestones in Matrix Computation
Gene H. Golub, Richard S. Varga
2007 — ch.
Computation of Gauss-Kronrod Quadrature Rules.
Milestones in Matrix Computation
Gene H. Golub, Daniela Calvetti, William B. Gragg, Lothar Reichel
2007 J jnl
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices.
Math. Comput.
Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li
2007 — ch.
Generalized cross-validation as a method for choosing a good ridge parameter.
Milestones in Matrix Computation
Gene H. Golub, Michael Heath, Grace Wahba
2007 — ch.
Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems.
Milestones in Matrix Computation
Zhong-Zhi Bai, Michael K. Ng, Gene H. Golub
2007 — ch.
Ill-conditioned eigensystems and the computation of the Jordan canonical form.
Milestones in Matrix Computation
Gene H. Golub, James Hardy Wilkinson
2007 — ch.
Major Awards.
Milestones in Matrix Computation
Gene H. Golub
2007 — ch.
Matrices, moments, and quadrature.
Milestones in Matrix Computation
Gene H. Golub, Gérard Meurant
2007 — ch.
Methods for modifying matrix factorizations.
Milestones in Matrix Computation
Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders
2007 J jnl
Numerical Linear Algebra in Signal Processing Applications.
EURASIP J. Adv. Signal Process.
Nicola Mastronardi, Gene H. Golub, Shivkumar Chandrasekaran, Marc Moonen, Paul Van Dooren, Sabine Van Huffel
2007 — ch.
Numerical methods for computing angles between linear subspaces.
Milestones in Matrix Computation
Åke Björck, Gene H. Golub
2007 — ch.
Numerical methods for solving linear least squares problems.
Milestones in Matrix Computation
Gene H. Golub
2007 — ch.
On direct methods for solving Poisson's equation.
Milestones in Matrix Computation
Billy L. Buzbee, Gene H. Golub, Claire W. Nielson
2007 J jnl
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations.
Numer. Linear Algebra Appl.
Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng
2007 J jnl
On the numerical condition of a generalized Hankel eigenvalue problem.
Numerische Mathematik
Bernhard Beckermann, Gene H. Golub, George Labahn
2007 — ch.
Publications of Gene H. Golub.
Milestones in Matrix Computation
Gene H. Golub
2007 — ch.
References.
Milestones in Matrix Computation
Gene H. Golub
2007 — ch.
Singular value decomposition and least squares solutions.
Milestones in Matrix Computation
Gene H. Golub, Christian H. Reinsch
2007 — ch.
Some modified matrix eigenvalue problems.
Milestones in Matrix Computation
Gene H. Golub
2007 — ch.
Students of Gene H. Golub.
Milestones in Matrix Computation
Gene H. Golub
2007 — ch.
The block Lanczos method for computing eigenvalues.
Milestones in Matrix Computation
Gene H. Golub, Richard Underwood
2007 — ch.
The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate.
Milestones in Matrix Computation
Gene H. Golub, Víctor Pereyra
2007 — ch.
The numerically stable reconstruction of a Jacobi matrix from spectral data.
Milestones in Matrix Computation
Gene H. Golub, Carl de Boor
2007 — ch.
The simplex method of linear programming using LU decomposition.
Milestones in Matrix Computation
Gene H. Golub, Richard H. Bartels
2007 — conf
Three results on the PageRank vector: eigenstructure, sensitivity, and the derivative.
Web Information Retrieval and Linear Algebra Algorithms
David F. Gleich, Peter W. Glynn, Gene H. Golub, Chen Greif
2006 J jnl
A Class of Nonsymmetric Preconditioners for Saddle Point Problems.
SIAM J. Matrix Anal. Appl.
Mike A. Botchev, Gene H. Golub
2006 J jnl
A small note on the scaling of symmetric positive definite semiseparable matrices.
Numer. Algorithms
Raf Vandebril, Gene H. Golub, Marc Van Barel
2006 — conf
Genericity And Rank Deficiency Of High Order Symmetric Tensors.
ICASSP (3)
Pierre Comon, Bernard Mourrain, Lek-Heng Lim, Gene H. Golub
2006 J jnl
Missing value estimation for DNA microarray gene expression data: local least squares imputation.
Bioinform.
Hyunsoo Kim, Gene H. Golub, Haesun Park
2006 J jnl
On a Generalized Eigenvalue Problem for Nonsquare Pencils.
SIAM J. Matrix Anal. Appl.
Delin Chu, Gene H. Golub
2006 J jnl
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices.
SIAM J. Sci. Comput.
Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li
2006 J jnl
Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation.
SIAM J. Matrix Anal. Appl.
Daniele Bertaccini, Gene H. Golub, Stefano Serra-Capizzano
2005 J jnl
An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems.
SIAM J. Matrix Anal. Appl.
Gene H. Golub, Chen Greif, James M. Varah
2005 J jnl
Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems.
SIAM J. Sci. Comput.
Zhong-Zhi Bai, Gene H. Golub, Linzhang Lu, Jun-Feng Yin
2005 J jnl
How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case.
SIAM J. Matrix Anal. Appl.
Stefano Serra-Capizzano, Daniele Bertaccini, Gene H. Golub
2005 J jnl
Missing value estimation for DNA microarray gene expression data: local least squares imputation.
Bioinform.
Hyunsoo Kim, Gene H. Golub, Haesun Park
2005 J jnl
Multidimensional Integral Inversion, with Applications in Shape Reconstruction.
SIAM J. Sci. Comput.
Annie A. M. Cuyt, Gene H. Golub, Peyman Milanfar, Brigitte Verdonk
2005 J jnl
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation.
Numerische Mathematik
Daniele Bertaccini, Gene H. Golub, Stefano Serra-Capizzano, Cristina Tablino Possio
2005 J jnl
The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach.
SIAM J. Matrix Anal. Appl.
Gregory Boutry, Michael Elad, Gene H. Golub, Peyman Milanfar
2005 J jnl
Variable projection for near-optimal filtering in low bit-rate block coders.
IEEE Trans. Circuits Syst. Video Technol.
Yaakov Tsaig, Michael Elad, Peyman Milanfar, Gene H. Golub
2004 J jnl
A Preconditioner for Generalized Saddle Point Problems.
SIAM J. Matrix Anal. Appl.
Michele Benzi, Gene H. Golub
2004 J jnl
A Subspace Approximation Method for the Quadratic Eigenvalue Problem.
SIAM J. Matrix Anal. Appl.
Urmi B. Holz, Gene H. Golub, Kincho H. Law
2004 — conf
Imputation of Missing Values in DNA Microarray Gene Expression Data.
CSB
Hyunsoo Kim, Gene H. Golub, Haesun Park
2004 J jnl
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems.
Numerische Mathematik
Zhong-Zhi Bai, Gene H. Golub, Jianyu Pan
2004 J jnl
Scaling by Binormalization.
Numer. Algorithms
Oren E. Livne, Gene H. Golub
2004 J jnl
Shape from moments - an estimation theory perspective.
IEEE Trans. Signal Process.
Michael Elad, Peyman Milanfar, Gene H. Golub
2003 A* conf
Extrapolation methods for accelerating PageRank computations.
WWW
Sepandar D. Kamvar, Taher H. Haveliwala, Christopher D. Manning, Gene H. Golub
2003 J jnl
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems.
SIAM J. Matrix Anal. Appl.
Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng
2003 J jnl
On Solving Block-Structured Indefinite Linear Systems.
SIAM J. Sci. Comput.
Gene H. Golub, Chen Greif
2003 — conf
Optimal framework for low bit-rate block coders.
ICIP (2)
Yaakov Tsaig, Michael Elad, Gene H. Golub, Peyman Milanfar
2003 B conf
Overcoming activation-induced registration errors in fMRI.
Image Processing
Jeffery J. Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins
2003 J jnl
Simultaneous Registration and Activation Detection for fMRI.
IEEE Trans. Medical Imaging
Jeff Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins
2002 J jnl
An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems.
SIAM J. Sci. Comput.
Gene H. Golub, Qiang Ye
2002 J jnl
Block Orderings for Tensor-Product Grids in Two and Three Dimensions.
Numer. Algorithms
Gene H. Golub, Chen Greif, James M. Varah
2001 J jnl
A computationally efficient superresolution image reconstruction algorithm.
IEEE Trans. Image Process.
Nhat Nguyen, Peyman Milanfar, Gene H. Golub
2001 J jnl
A parallel balance scheme for banded linear systems.
Numer. Linear Algebra Appl.
Gene H. Golub, Ahmed H. Sameh, Vivek Sarin
2001 J jnl
Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement.
IEEE Trans. Image Process.
Nhat Nguyen, Peyman Milanfar, Gene H. Golub
2001 J jnl
Rank-One Approximation to High Order Tensors.
SIAM J. Matrix Anal. Appl.
Tong Zhang, Gene H. Golub
2000 J jnl
A Note on Preconditioning for Indefinite Linear Systems.
SIAM J. Sci. Comput.
Malcolm F. Murphy, Gene H. Golub, Andrew J. Wathen
2000 J jnl
Computation of Gauss-Kronrod quadrature rules.
Math. Comput.
Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel
2000 J jnl
Computing the SVD of a General Matrix Product/Quotient.
SIAM J. Matrix Anal. Appl.
Gene H. Golub, Knut Sølna, Paul Van Dooren
2000 J jnl
On the preconditioning of matrices with skew-symmetric splittings.
Numer. Algorithms
Gene H. Golub, Denis Vanderstraeten
1999 J jnl
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration.
SIAM J. Sci. Comput.
Tony F. Chan, Gene H. Golub, Pep Mulet
1999 J jnl
A Stable Numerical Method for Inverting Shape from Moments.
SIAM J. Sci. Comput.
Gene H. Golub, Peyman Milanfar, James M. Varah
1999 J jnl
An Efficient Algorithm for a Bounded Errors-in-Variables Model.
SIAM J. Matrix Anal. Appl.
Shiv Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed
1999 J jnl
Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration.
SIAM J. Sci. Comput.
Gene H. Golub, Qiang Ye
1999 J jnl
On Some Eigenvector-Eigenvalue Relations.
SIAM J. Matrix Anal. Appl.
Sylvan Elhay, Graham M. L. Gladwell, Gene H. Golub, Yitshak M. Ram
1999 Misc conf
Preconditioners for regularized image superresolution.
ICASSP
Nhat Nguyen, Gene H. Golub, Peyman Milanfar
1999 J jnl
Tikhonov Regularization and Total Least Squares.
SIAM J. Matrix Anal. Appl.
Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary
1998 J jnl
A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier-Stokes Equations.
SIAM J. Sci. Comput.
Gene H. Golub, Lan Chieh Huang, Horst D. Simon, Wei-Pai Tang
1998 J jnl
Adaptively Preconditioned GMRES Algorithms.
SIAM J. Sci. Comput.
James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel
1998 J jnl
An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations.
SIAM J. Sci. Comput.
Gene H. Golub, Andrew J. Wathen
1998 J jnl
On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems.
SIAM J. Sci. Comput.
Tong Zhang, Kincho H. Law, Gene H. Golub
1998 J jnl
Parameter Estimation in the Presence of Bounded Data Uncertainties.
SIAM J. Matrix Anal. Appl.
Shivkumar Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed
1998 J jnl
Rank Modifications of Semidefinite Matrices Associated with a Secant Update Formula.
SIAM J. Matrix Anal. Appl.
Moody T. Chu, Robert E. Funderlic, Gene H. Golub
1998 — conf
Some Unusual Eigenvalue Problems.
VECPAR
Zhaojun Bai, Gene H. Golub
1997 J jnl
On a Variational Formulation of the Generalized Singular Value Decomposition.
SIAM J. Matrix Anal. Appl.
Moody T. Chu, Robert E. Funderlic, Gene H. Golub
1997 J jnl
Parameter estimation in the presence of bounded modeling errors.
IEEE Signal Process. Lett.
Shivkumar Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed
1997 J jnl
Regularization by Truncated Total Least Squares.
SIAM J. Sci. Comput.
Ricardo D. Fierro, Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary
1996 J jnl
Approximating dominant singular triplets of large sparse matrices via modified moments.
Numer. Algorithms
Sowmini Varadhan, Michael W. Berry, Gene H. Golub
1996 — book
Matrix Computations, Third Edition.
Gene H. Golub, Charles F. Van Loan
1996 — conf
Optimal Surface Smoothing as Filter Design.
ECCV (1)
Gabriel Taubin, Tong Zhang, Gene H. Golub
1995 J jnl
A Rank-One Reduction Formula and Its Applications to Matrix Factorizations.
SIAM Rev.
Moody T. Chu, Robert Funderlic, Gene H. Golub
1995 J jnl
Floating Point Fault Tolerance with Backward Error Assertions.
IEEE Trans. Computers
Daniel Boley, Gene H. Golub, Samy Makar, Nirmal R. Saxena, Edward J. McCluskey
1995 J jnl
Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators.
Numer. Algorithms
S. H. Lui, Gene H. Golub
1995 J jnl
Matrix shapes invariant under the symmetric QR algorithm.
Numer. Linear Algebra Appl.
Peter Arbenz, Gene H. Golub
1994 J jnl
A multishift QR iteration without computation of the shifts.
Numer. Algorithms
Augustin A. Dubrulle, Gene H. Golub
1994 J jnl
Estimates in quadratic formulas.
Numer. Algorithms
Gene H. Golub, Zdenek Strakos
1993 — conf
A robust numerical approach for array calibration.
ICASSP (4)
Shilpa Talwar, Arogyaswami Paulraj, Gene H. Golub
1992 J jnl
Algorithmic Fault Tolerance Using the Lanczos Method.
SIAM J. Matrix Anal. Appl.
Daniel Boley, Richard P. Brent, Gene H. Golub, Franklin T. Luk
1992 J jnl
Introduction.
SIAM J. Matrix Anal. Appl.
Thomas A. Manteuffel, Gene H. Golub
1992 J jnl
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems.
SIAM J. Sci. Comput.
Howard C. Elman, Gene H. Golub
1992 J jnl
QR-Like Algorithms for Symmetric Arrow Matrices.
SIAM J. Matrix Anal. Appl.
Peter Arbenz, Gene H. Golub
1991 J jnl
Adaptive Lanczos methods for recursive condition estimation.
Numer. Algorithms
William R. Ferng, Gene H. Golub, Robert J. Plemmons
1991 J jnl
Estimating the largest singular values of large sparse matrices via modified moments.
Numer. Algorithms
Michael W. Berry, Gene H. Golub
1991 J jnl
Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights.
Numer. Algorithms
Daniel Boley, Sylvan Elhay, Gene H. Golub, Martin H. Gutknecht
1990 J jnl
Tracking a few extreme singular values and vectors in signal processing.
Proc. IEEE
Pierre Comon, Gene H. Golub
1989 J jnl
Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976.
SIAM Rev.
Gene H. Golub, Dianne P. O'Leary
1981 J jnl
A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix.
ACM Trans. Math. Softw.
Gene H. Golub, Franklin T. Luk, Michael L. Overton
1978 J jnl
Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method.
Computing
Paul Concus, Gene H. Golub, Dianne P. O'Leary
1969 J jnl
Algorithm 350: simplex method procedure employing Lu decomposition [H].
Commun. ACM
Richard H. Bartels, Gene H. Golub
1969 J jnl
Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5].
Commun. ACM
Peter A. Businger, Gene H. Golub
1969 J jnl
The simplex method of linear programming using LU decomposition.
Commun. ACM
Richard H. Bartels, Gene H. Golub
1968 J jnl
Algorithms: Algorithm 328: Chebyshev solution to an overdetermined linear system.
Commun. ACM
Richard H. Bartels, Gene H. Golub
1968 J jnl
Numerical Analysis: Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations.
Commun. ACM
Richard H. Bartels, Gene H. Golub
1967 J jnl
A generalized Bairstow algorithm.
Commun. ACM
Gene H. Golub, T. N. Robertson