Gene H. Golub

Publication Activity (10 Years)

Years Active: 1967-2009
Publications (10 Years): 0

Publications

Xiao-Wen Chang, Gene H. Golub
Solving Ellipsoid-Constrained Integer Least Squares Problems. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
Raf Vandebril, Gene H. Golub, Marc Van Barel
A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 31 (1) (2009)
Xiao-Wen Chang, Gene H. Golub, Christopher C. Paige
Towards A Backward Perturbation Analysis For Data Least Squares Problems. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain
Symmetric Tensors and Symmetric Tensor Rank. SIAM J. Matrix Anal. Appl. 30 (3) (2008)
Jack J. Dongarra, Gene H. Golub, Eric Grosse, Cleve B. Moler, Keith Moore
Netlib and NA-Net: Building a Scientific Computing Community. IEEE Ann. Hist. Comput. 30 (2) (2008)
Gene H. Golub, Daniel Ruiz, Ahmed Touhami
A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides. SIAM J. Matrix Anal. Appl. 29 (3) (2007)
Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Math. Comput. 76 (257) (2007)
Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Numer. Linear Algebra Appl. 14 (4) (2007)
David F. Gleich, Peter W. Glynn, Gene H. Golub, Chen Greif
Three results on the PageRank vector: eigenstructure, sensitivity, and the derivative. Web Information Retrieval and Linear Algebra Algorithms (2007)
Chris P. Lee, Gene H. Golub, Stefanos A. Zenios
A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations. Internet Math. 4 (4) (2007)
Bernhard Beckermann, Gene H. Golub, George Labahn
On the numerical condition of a generalized Hankel eigenvalue problem. Numerische Mathematik 106 (1) (2007)
Nicola Mastronardi, Gene H. Golub, Shivkumar Chandrasekaran, Marc Moonen, Paul Van Dooren, Sabine Van Huffel
Numerical Linear Algebra in Signal Processing Applications. EURASIP J. Adv. Signal Process. 2007 (2007)
Raf Vandebril, Gene H. Golub, Marc Van Barel
A small note on the scaling of symmetric positive definite semiseparable matrices. Numer. Algorithms 41 (3) (2006)
Mike A. Botchev, Gene H. Golub
A Class of Nonsymmetric Preconditioners for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 27 (4) (2006)
Delin Chu, Gene H. Golub
On a Generalized Eigenvalue Problem for Nonsquare Pencils. SIAM J. Matrix Anal. Appl. 28 (3) (2006)
Hyunsoo Kim, Gene H. Golub, Haesun Park
Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinform. 22 (11) (2006)
Daniele Bertaccini, Gene H. Golub, Stefano Serra Capizzano
Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation. SIAM J. Matrix Anal. Appl. 29 (1) (2006)
Pierre Comon, Bernard Mourrain, Lek-Heng Lim, Gene H. Golub
Genericity And Rank Deficiency Of High Order Symmetric Tensors. ICASSP (3) (2006)
Zhong-Zhi Bai, Gene H. Golub, Chi-Kwong Li
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices. SIAM J. Sci. Comput. 28 (2) (2006)
Gene H. Golub, Chen Greif, James M. Varah
An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems. SIAM J. Matrix Anal. Appl. 27 (3) (2005)
Yaakov Tsaig, Michael Elad, Peyman Milanfar, Gene H. Golub
Variable projection for near-optimal filtering in low bit-rate block coders. IEEE Trans. Circuits Syst. Video Technol. 15 (1) (2005)
Stefano Serra Capizzano, Daniele Bertaccini, Gene H. Golub
How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case. SIAM J. Matrix Anal. Appl. 27 (1) (2005)
Daniele Bertaccini, Gene H. Golub, Stefano Serra Capizzano, Cristina Tablino Possio
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Numerische Mathematik 99 (3) (2005)
Hyunsoo Kim, Gene H. Golub, Haesun Park
Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinform. 21 (2) (2005)
Zhong-Zhi Bai, Gene H. Golub, Linzhang Lu, Jun-Feng Yin
Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems. SIAM J. Sci. Comput. 26 (3) (2005)
Gregory Boutry, Michael Elad, Gene H. Golub, Peyman Milanfar
The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach. SIAM J. Matrix Anal. Appl. 27 (2) (2005)
Annie A. M. Cuyt, Gene H. Golub, Peyman Milanfar, Brigitte Verdonk
Multidimensional Integral Inversion, with Applications in Shape Reconstruction. SIAM J. Sci. Comput. 27 (3) (2005)
Oren E. Livne, Gene H. Golub
Scaling by Binormalization. Numer. Algorithms 35 (1) (2004)
Urmi B. Holz, Gene H. Golub, Kincho H. Law
A Subspace Approximation Method for the Quadratic Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 26 (2) (2004)
Zhong-Zhi Bai, Gene H. Golub, Jianyu Pan
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems. Numerische Mathematik 98 (1) (2004)
Michael Elad, Peyman Milanfar, Gene H. Golub
Shape from moments - an estimation theory perspective. IEEE Trans. Signal Process. 52 (7) (2004)
Hyunsoo Kim, Gene H. Golub, Haesun Park
Imputation of Missing Values in DNA Microarray Gene Expression Data. CSB (2004)
Michele Benzi, Gene H. Golub
A Preconditioner for Generalized Saddle Point Problems. SIAM J. Matrix Anal. Appl. 26 (1) (2004)
Yaakov Tsaig, Michael Elad, Gene H. Golub, Peyman Milanfar
Optimal framework for low bit-rate block coders. ICIP (2) (2003)
Jeff Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins
Simultaneous Registration and Activation Detection for fMRI. IEEE Trans. Medical Imaging 22 (11) (2003)
Sepandar D. Kamvar, Taher H. Haveliwala, Christopher D. Manning, Gene H. Golub
Extrapolation methods for accelerating PageRank computations. WWW (2003)
Gene H. Golub, Chen Greif
On Solving Block-Structured Indefinite Linear Systems. SIAM J. Sci. Comput. 24 (6) (2003)
Jeffery J. Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins
Overcoming activation-induced registration errors in fMRI. Medical Imaging: Image Processing (2003)
Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems. SIAM J. Matrix Anal. Appl. 24 (3) (2003)
Gene H. Golub, Qiang Ye
An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems. SIAM J. Sci. Comput. 24 (1) (2002)
Gene H. Golub, Chen Greif, James M. Varah
Block Orderings for Tensor-Product Grids in Two and Three Dimensions. Numer. Algorithms 30 (2) (2002)
Nhat Nguyen, Peyman Milanfar, Gene H. Golub
A computationally efficient superresolution image reconstruction algorithm. IEEE Trans. Image Process. 10 (4) (2001)
Nhat Nguyen, Peyman Milanfar, Gene H. Golub
Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. IEEE Trans. Image Process. 10 (9) (2001)
Tong Zhang, Gene H. Golub
Rank-One Approximation to High Order Tensors. SIAM J. Matrix Anal. Appl. 23 (2) (2001)
Gene H. Golub, Ahmed H. Sameh, Vivek Sarin
A parallel balance scheme for banded linear systems. Numer. Linear Algebra Appl. 8 (5) (2001)
Gene H. Golub, Denis Vanderstraeten
On the preconditioning of matrices with skew-symmetric splittings. Numer. Algorithms 25 (1-4) (2000)
Gene H. Golub, Knut Sølna, Paul Van Dooren
Computing the SVD of a General Matrix Product/Quotient. SIAM J. Matrix Anal. Appl. 22 (1) (2000)
Malcolm F. Murphy, Gene H. Golub, Andrew J. Wathen
A Note on Preconditioning for Indefinite Linear Systems. SIAM J. Sci. Comput. 21 (6) (2000)
Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel
Computation of Gauss-Kronrod quadrature rules. Math. Comput. 69 (231) (2000)
Sylvan Elhay, Graham M. L. Gladwell, Gene H. Golub, Yitshak M. Ram
On Some Eigenvector-Eigenvalue Relations. SIAM J. Matrix Anal. Appl. 20 (3) (1999)
Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary
Tikhonov Regularization and Total Least Squares. SIAM J. Matrix Anal. Appl. 21 (1) (1999)
Gene H. Golub, Peyman Milanfar, James M. Varah
A Stable Numerical Method for Inverting Shape from Moments. SIAM J. Sci. Comput. 21 (4) (1999)
Tony F. Chan, Gene H. Golub, Pep Mulet
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration. SIAM J. Sci. Comput. 20 (6) (1999)
Gene H. Golub, Qiang Ye
Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration. SIAM J. Sci. Comput. 21 (4) (1999)
Shiv Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed
An Efficient Algorithm for a Bounded Errors-in-Variables Model. SIAM J. Matrix Anal. Appl. 20 (4) (1999)
Nhat Nguyen, Gene H. Golub, Peyman Milanfar
Preconditioners for regularized image superresolution. ICASSP (1999)
Shivkumar Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed
Parameter Estimation in the Presence of Bounded Data Uncertainties. SIAM J. Matrix Anal. Appl. 19 (1) (1998)
Gene H. Golub, Lan Chieh Huang, Horst Simon, Wei-Pai Tang
A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 19 (5) (1998)
Gene H. Golub, Andrew J. Wathen
An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations. SIAM J. Sci. Comput. 19 (2) (1998)
Tong Zhang, Kincho H. Law, Gene H. Golub
On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems. SIAM J. Sci. Comput. 19 (5) (1998)
Moody T. Chu, Robert E. Funderlic, Gene H. Golub
Rank Modifications of Semidefinite Matrices Associated with a Secant Update Formula. SIAM J. Matrix Anal. Appl. 20 (2) (1998)
James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel
Adaptively Preconditioned GMRES Algorithms. SIAM J. Sci. Comput. 20 (1) (1998)
Zhaojun Bai, Gene H. Golub
Some Unusual Eigenvalue Problems. VECPAR (1998)
Ricardo D. Fierro, Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary
Regularization by Truncated Total Least Squares. SIAM J. Sci. Comput. 18 (4) (1997)
Shivkumar Chandrasekaran, Gene H. Golub, Ming Gu, Ali H. Sayed
Parameter estimation in the presence of bounded modeling errors. IEEE Signal Process. Lett. 4 (7) (1997)
Moody T. Chu, Robert E. Funderlic, Gene H. Golub
On a Variational Formulation of the Generalized Singular Value Decomposition. SIAM J. Matrix Anal. Appl. 18 (4) (1997)
Sowmini Varadhan, Michael W. Berry, Gene H. Golub
Approximating dominant singular triplets of large sparse matrices via modified moments. Numer. Algorithms 13 (1) (1996)
Gabriel Taubin, Tong Zhang, Gene H. Golub
Optimal Surface Smoothing as Filter Design. ECCV (1) (1996)
S. H. Lui, Gene H. Golub
Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators. Numer. Algorithms 10 (2) (1995)
Daniel L. Boley, Gene H. Golub, Samy Makar, Nirmal R. Saxena, Edward J. McCluskey
Floating Point Fault Tolerance with Backward Error Assertions. IEEE Trans. Computers 44 (2) (1995)
Peter Arbenz, Gene H. Golub
Matrix shapes invariant under the symmetric QR algorithm. Numer. Linear Algebra Appl. 2 (2) (1995)
Moody T. Chu, Robert Funderlic, Gene H. Golub
A Rank-One Reduction Formula and Its Applications to Matrix Factorizations. SIAM Rev. 37 (4) (1995)
Gene H. Golub, Zdenek Strakos
Estimates in quadratic formulas. Numer. Algorithms 8 (2) (1994)
Augustin A. Dubrulle, Gene H. Golub
A multishift QR iteration without computation of the shifts. Numer. Algorithms 7 (2) (1994)
Shilpa Talwar, Arogyaswami Paulraj, Gene H. Golub
A robust numerical approach for array calibration. ICASSP (4) (1993)
Peter Arbenz, Gene H. Golub
QR-Like Algorithms for Symmetric Arrow Matrices. SIAM J. Matrix Anal. Appl. 13 (2) (1992)
Thomas A. Manteuffel, Gene H. Golub
Introduction. SIAM J. Matrix Anal. Appl. 13 (3) (1992)
Daniel L. Boley, Richard P. Brent, Gene H. Golub, Franklin T. Luk
Algorithmic Fault Tolerance Using the Lanczos Method. SIAM J. Matrix Anal. Appl. 13 (1) (1992)
Howard C. Elman, Gene H. Golub
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems. SIAM J. Sci. Comput. 13 (1) (1992)
William R. Ferng, Gene H. Golub, Robert J. Plemmons
Adaptive Lanczos methods for recursive condition estimation. Numer. Algorithms 1 (1) (1991)
Michael W. Berry, Gene H. Golub
Estimating the largest singular values of large sparse matrices via modified moments. Numer. Algorithms 1 (3) (1991)
Daniel L. Boley, Sylvan Elhay, Gene H. Golub, Martin H. Gutknecht
Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights. Numer. Algorithms 1 (1) (1991)
Pierre Comon, Gene H. Golub
Tracking a few extreme singular values and vectors in signal processing. Proc. IEEE 78 (8) (1990)
Gene H. Golub, Dianne P. O'Leary
Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976. SIAM Rev. 31 (1) (1989)
Gene H. Golub, Franklin T. Luk, Michael L. Overton
A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix. ACM Trans. Math. Softw. 7 (2) (1981)
Paul Concus, Gene H. Golub, Dianne P. O'Leary
Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method. Computing 19 (4) (1978)
Peter A. Businger, Gene H. Golub
Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5]. Commun. ACM 12 (10) (1969)
Richard H. Bartels, Gene H. Golub
The simplex method of linear programming using LU decomposition. Commun. ACM 12 (5) (1969)
Richard H. Bartels, Gene H. Golub
Algorithm 350: simplex method procedure employing Lu decomposition [H]. Commun. ACM 12 (5) (1969)
Richard H. Bartels, Gene H. Golub
Numerical Analysis: Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations. Commun. ACM 11 (6) (1968)
Richard H. Bartels, Gene H. Golub
Algorithms: Algorithm 328: Chebyshev solution to an overdetermined linear system. Commun. ACM 11 (6) (1968)
Gene H. Golub, T. N. Robertson
A generalized Bairstow algorithm. Commun. ACM 10 (6) (1967)