A generalized Bairstow algorithm. - Gene H. Golub; T. N. Robertson (Commun. ACM, 1967)

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)

Algorithms: Algorithm 328: Chebyshev solution to an overdetermined linear system. - Richard H. Bartels; Gene H. Golub (Commun. ACM, 1968)

The simplex method of linear programming using LU decomposition. - Richard H. Bartels; Gene H. Golub (Commun. ACM, 1969)

Algorithm 350: simplex method procedure employing Lu decomposition [H]. - Richard H. Bartels; Gene H. Golub (Commun. ACM, 1969)

Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5]. - Peter A. Businger; Gene H. Golub (Commun. ACM, 1969)

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)

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)

Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976. - Gene H. Golub; Dianne P. O'Leary (SIAM Rev., 1989)

Tracking a few extreme singular values and vectors in signal processing. - Pierre Comon; Gene H. Golub (Proc. IEEE, 1990)

Estimating the largest singular values of large sparse matrices via modified moments. - Michael W. Berry; Gene H. Golub (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)

Adaptive Lanczos methods for recursive condition estimation. - William R. Ferng; Gene H. Golub; Robert J. Plemmons (Numer. Algorithms, 1991)

QR-Like Algorithms for Symmetric Arrow Matrices. - Peter Arbenz; 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)

Introduction. - Thomas A. Manteuffel; Gene H. Golub (SIAM J. Matrix Anal. Appl., 1992)

Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems. - Howard C. Elman; Gene H. Golub (SIAM J. Sci. Comput., 1992)

A robust numerical approach for array calibration. - Shilpa Talwar; Arogyaswami Paulraj; Gene H. Golub (ICASSP (4), 1993)

A multishift QR iteration without computation of the shifts. - Augustin A. Dubrulle; Gene H. Golub (Numer. Algorithms, 1994)

Estimates in quadratic formulas. - Gene H. Golub; Zdenek Strakos (Numer. Algorithms, 1994)

Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators. - S. H. Lui 001; Gene H. Golub (Numer. Algorithms, 1995)

Matrix shapes invariant under the symmetric QR algorithm. - Peter Arbenz; Gene H. Golub (Numer. Linear Algebra Appl., 1995)

A Rank-One Reduction Formula and Its Applications to Matrix Factorizations. - Moody T. Chu; Robert Funderlic; Gene H. Golub (SIAM Rev., 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)

Matrix Computations, Third Edition. - Gene H. Golub; Charles F. Van Loan (Johns Hopkins University Press, 1996)

Optimal Surface Smoothing as Filter Design. - Gabriel Taubin; Tong Zhang 001; Gene H. Golub (ECCV (1), 1996)

Approximating dominant singular triplets of large sparse matrices via modified moments. - Sowmini Varadhan; Michael W. Berry; Gene H. Golub (Numer. Algorithms, 1996)

Regularization by Truncated Total Least Squares. - Ricardo D. Fierro; Gene H. Golub; Per Christian Hansen; Dianne P. O'Leary (SIAM J. Sci. Comput., 1997)

Parameter estimation in the presence of bounded modeling errors. - Shivkumar Chandrasekaran; Gene H. Golub; Ming Gu 002; Ali H. Sayed (IEEE Signal Process. Lett., 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., 1997)

Some Unusual Eigenvalue Problems. - Zhaojun Bai; Gene H. Golub (VECPAR, 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)

On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems. - Tong Zhang 001; Kincho H. Law; Gene H. Golub (SIAM J. Sci. Comput., 1998)

Adaptively Preconditioned GMRES Algorithms. - James Baglama; Daniela Calvetti; Gene H. Golub; Lothar Reichel (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)

An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations. - Gene H. Golub; Andrew J. Wathen (SIAM J. Sci. Comput., 1998)

Parameter Estimation in the Presence of Bounded Data Uncertainties. - Shivkumar Chandrasekaran; Gene H. Golub; Ming Gu 002; Ali H. Sayed (SIAM J. Matrix Anal. Appl., 1998)

Preconditioners for regularized image superresolution. - Nhat Nguyen; Gene H. Golub; Peyman Milanfar (ICASSP, 1999)

An Efficient Algorithm for a Bounded Errors-in-Variables Model. - Shiv Chandrasekaran; Gene H. Golub; Ming Gu 002; Ali H. Sayed (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)

Tikhonov Regularization and Total Least Squares. - Gene H. Golub; Per Christian Hansen; Dianne P. O'Leary (SIAM J. Matrix Anal. Appl., 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)

A Stable Numerical Method for Inverting Shape from Moments. - Gene H. Golub; Peyman Milanfar; James M. Varah (SIAM J. Sci. Comput., 1999)

Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration. - Gene H. Golub; Qiang Ye 003 (SIAM J. Sci. Comput., 1999)

Computation of Gauss-Kronrod quadrature rules. - Daniela Calvetti; Gene H. Golub; William B. Gragg; Lothar Reichel (Math. Comput., 2000)

On the preconditioning of matrices with skew-symmetric splittings. - Gene H. Golub; Denis Vanderstraeten (Numer. Algorithms, 2000)

Computing the SVD of a General Matrix Product/Quotient. - Gene H. Golub; Knut Sølna; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2000)

A Note on Preconditioning for Indefinite Linear Systems. - Malcolm F. Murphy; Gene H. Golub; Andrew J. Wathen (SIAM J. Sci. Comput., 2000)

A parallel balance scheme for banded linear systems. - Gene H. Golub; Ahmed H. Sameh; Vivek Sarin (Numer. Linear Algebra Appl., 2001)

Rank-One Approximation to High Order Tensors. - Tong Zhang 001; Gene H. Golub (SIAM J. Matrix Anal. Appl., 2001)

A computationally efficient superresolution image reconstruction algorithm. - Nhat Nguyen; Peyman Milanfar; Gene H. Golub (IEEE Trans. Image Process., 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)

Block Orderings for Tensor-Product Grids in Two and Three Dimensions. - Gene H. Golub; Chen Greif; James M. Varah (Numer. Algorithms, 2002)

An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems. - Gene H. Golub; Qiang Ye 003 (SIAM J. Sci. Comput., 2002)

Optimal framework for low bit-rate block coders. - Yaakov Tsaig; Michael Elad; Gene H. Golub; Peyman Milanfar (ICIP (2), 2003)

Overcoming activation-induced registration errors in fMRI. - Jeffery J. Orchard; Chen Greif; Gene H. Golub; Bruce Bjornson; M. Stella Atkins (Image Processing, 2003)

Extrapolation methods for accelerating PageRank computations. - Sepandar D. Kamvar; Taher H. Haveliwala; Christopher D. Manning; Gene H. Golub (WWW, 2003)

Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems. - Zhong-Zhi Bai; Gene H. Golub; Michael K. Ng 001 (SIAM J. Matrix Anal. Appl., 2003)

On Solving Block-Structured Indefinite Linear Systems. - Gene H. Golub; Chen Greif (SIAM J. Sci. Comput., 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)

Imputation of Missing Values in DNA Microarray Gene Expression Data. - Hyunsoo Kim; Gene H. Golub; Haesun Park (CSB, 2004)

Scaling by Binormalization. - Oren E. Livne; Gene H. Golub (Numer. Algorithms, 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)

A Preconditioner for Generalized Saddle Point Problems. - Michele Benzi; Gene H. Golub (SIAM J. Matrix Anal. Appl., 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)

Shape from moments - an estimation theory perspective. - Michael Elad; Peyman Milanfar; Gene H. Golub (IEEE Trans. Signal Process., 2004)

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)

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)

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)

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)

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)

Multidimensional Integral Inversion, with Applications in Shape Reconstruction. - Annie A. M. Cuyt; Gene H. Golub; Peyman Milanfar; Brigitte Verdonk (SIAM J. Sci. Comput., 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)

Genericity And Rank Deficiency Of High Order Symmetric Tensors. - Pierre Comon; Bernard Mourrain; Lek-Heng Lim; Gene H. Golub (ICASSP (3), 2006)

Missing value estimation for DNA microarray gene expression data: local least squares imputation. - Hyunsoo Kim; Gene H. Golub; Haesun Park (Bioinform., 2006)

A small note on the scaling of symmetric positive definite semiseparable matrices. - Raf Vandebril; Gene H. Golub; Marc Van Barel (Numer. Algorithms, 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 Class of Nonsymmetric Preconditioners for Saddle Point Problems. - Mike A. Botchev; Gene H. Golub (SIAM J. Matrix Anal. Appl., 2006)

On a Generalized Eigenvalue Problem for Nonsquare Pencils. - Delin Chu; Gene H. Golub (SIAM J. Matrix Anal. Appl., 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)

Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. - Zhong-Zhi Bai; Michael K. Ng 001; Gene H. Golub (Milestones in Matrix Computation, 2007)

Numerical methods for computing angles between linear subspaces. - Åke Björck; Gene H. Golub (Milestones in Matrix Computation, 2007)

On direct methods for solving Poisson's equation. - Billy L. Buzbee; Gene H. Golub; Claire W. Nielson (Milestones in Matrix Computation, 2007)

A generalized conjugate gradient method for non-symmetric systems of linear equations. - Paul Concus; Gene H. Golub (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 (Milestones in Matrix Computation, 2007)

Publications of Gene H. Golub. - Gene H. Golub (Milestones in Matrix Computation, 2007)

Major Awards. - Gene H. Golub (Milestones in Matrix Computation, 2007)

Students of Gene H. Golub. - Gene H. Golub (Milestones in Matrix Computation, 2007)

Numerical methods for solving linear least squares problems. - Gene H. Golub (Milestones in Matrix Computation, 2007)

References. - Gene H. Golub (Milestones in Matrix Computation, 2007)

Some modified matrix eigenvalue problems. - Gene H. Golub (Milestones in Matrix Computation, 2007)

The simplex method of linear programming using LU decomposition. - Gene H. Golub; Richard H. Bartels (Milestones in Matrix Computation, 2007)

The numerically stable reconstruction of a Jacobi matrix from spectral data. - Gene H. Golub; Carl de Boor (Milestones in Matrix Computation, 2007)

Computation of Gauss-Kronrod Quadrature Rules. - Gene H. Golub; Daniela Calvetti; William B. Gragg; Lothar Reichel (Milestones in Matrix Computation, 2007)

Methods for modifying matrix factorizations. - Gene H. Golub; Philip E. Gill; Walter Murray; Michael A. Saunders (Milestones in Matrix Computation, 2007)

Generalized cross-validation as a method for choosing a good ridge parameter. - Gene H. Golub; Michael Heath; Grace Wahba (Milestones in Matrix Computation, 2007)

Calculating the singular values and pseudo-inverse of a matrix. - Gene H. Golub; William Kahan (Milestones in Matrix Computation, 2007)

An analysis of the total least squares problem. - Gene H. Golub; Charles F. Van Loan (Milestones in Matrix Computation, 2007)

Matrices, moments, and quadrature. - Gene H. Golub; Gérard Meurant (Milestones in Matrix Computation, 2007)

The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate. - Gene H. Golub; Víctor Pereyra (Milestones in Matrix Computation, 2007)

Singular value decomposition and least squares solutions. - Gene H. Golub; Christian H. Reinsch (Milestones in Matrix Computation, 2007)

The block Lanczos method for computing eigenvalues. - Gene H. Golub; Richard Underwood (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 (Milestones in Matrix Computation, 2007)

Calculation of Gauss quadrature rules. - Gene H. Golub; John H. Welsch (Milestones in Matrix Computation, 2007)

Ill-conditioned eigensystems and the computation of the Jordan canonical form. - Gene H. Golub; James Hardy Wilkinson (Milestones in Matrix Computation, 2007)

Three results on the PageRank vector: eigenstructure, sensitivity, and the derivative. - David F. Gleich; Peter W. Glynn; Gene H. Golub; Chen Greif (Web Information Retrieval and Linear Algebra Algorithms, 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)

A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations. - Chris P. Lee; Gene H. Golub; Stefanos A. Zenios (Internet Math., 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)

On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. - Zhong-Zhi Bai; Gene H. Golub; Michael K. Ng 001 (Numer. Linear Algebra Appl., 2007)

On the numerical condition of a generalized Hankel eigenvalue problem. - Bernhard Beckermann; Gene H. Golub; George Labahn (Numerische Mathematik, 2007)

A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides. - Gene H. Golub; Daniel Ruiz 002; Ahmed Touhami (SIAM J. Matrix Anal. Appl., 2007)

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)

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)

Symmetric Tensors and Symmetric Tensor Rank. - Pierre Comon; Gene H. Golub; Lek-Heng Lim; Bernard Mourrain (SIAM J. Matrix Anal. Appl., 2008)

Solving Ellipsoid-Constrained Integer Least Squares Problems. - Xiao-Wen Chang; Gene H. Golub (SIAM J. Matrix Anal. Appl., 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)