Gene H. Golub

Raf Vandebril, Gene H. Golub, Marc Van Barel: A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem. SIAM J. Matrix Analysis Applications 31(1): 154-174 (2009)

Xiao-Wen Chang, Gene H. Golub: Solving Ellipsoid-Constrained Integer Least Squares Problems. SIAM J. Matrix Analysis Applications 31(3): 1071-1089 (2009)

Jack Dongarra, Gene H. Golub, Eric Grosse, Cleve B. Moler, Keith Moore: Netlib and NA-Net: Building a Scientific Computing Community. IEEE Annals of the History of Computing 30(2): 30-41 (2008)

Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain: Symmetric Tensors and Symmetric Tensor Rank. SIAM J. Matrix Analysis Applications 30(3): 1254-1279 (2008)

Xiao-Wen Chang, Gene H. Golub, Christopher C. Paige: Towards A Backward Perturbation Analysis For Data Least Squares Problems. SIAM J. Matrix Analysis Applications 30(4): 1281-1301 (2008)

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. Sig. Proc. 2007 (2007)

Chris P. Lee, Gene H. Golub, Stefanos A. Zenios: A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations. Internet Mathematics 4(4): 299-327 (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): 287-298 (2007)

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 Analysis Applications 29(3): 774-795 (2007)

David 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

Hyunsoo Kim, Gene H. Golub, Haesun Park: Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinformatics 22(11): 1410-1411 (2006)

Raf Vandebril, Gene H. Golub, Marc Van Barel: A small note on the scaling of symmetric positive definite semiseparable matrices. Numerical Algorithms 41(3): 319-326 (2006)

Mike A. Botchev, Gene H. Golub: A Class of Nonsymmetric Preconditioners for Saddle Point Problems. SIAM J. Matrix Analysis Applications 27(4): 1125-1149 (2006)

Delin Chu, Gene H. Golub: On a Generalized Eigenvalue Problem for Nonsquare Pencils. SIAM J. Matrix Analysis Applications 28(3): 770-787 (2006)

Daniele Bertaccini, Gene H. Golub, Stefano Serra Capizzano: Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation. SIAM J. Matrix Analysis Applications 29(1): 260-278 (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. Scientific Computing 28(2): 583-603 (2006)

Hyunsoo Kim, Gene H. Golub, Haesun Park: Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinformatics 21(2): 187-198 (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 Analysis Applications 27(1): 82-86 (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 Analysis Applications 27(2): 582-601 (2005)

Gene H. Golub, Chen Greif, James M. Varah: An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems. SIAM J. Matrix Analysis Applications 27(3): 779-792 (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. Scientific Computing 26(3): 844-863 (2005)

Annie A. M. Cuyt, Gene H. Golub, Peyman Milanfar, Brigitte Verdonk: Multidimensional Integral Inversion, with Applications in Shape Reconstruction. SIAM J. Scientific Computing 27(3): 1058-1070 (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 Techn. 15(1): 154-160 (2005)

Oren E. Livne, Gene H. Golub: Scaling by Binormalization. Numerical Algorithms 35(1): 97-120 (2004)

Michele Benzi, Gene H. Golub: A Preconditioner for Generalized Saddle Point Problems. SIAM J. Matrix Analysis Applications 26(1): 20-41 (2004)

Urmi B. Holz, Gene H. Golub, Kincho H. Law: A Subspace Approximation Method for the Quadratic Eigenvalue Problem. SIAM J. Matrix Analysis Applications 26(2): 498-521 (2004)

Michael Elad, Peyman Milanfar, Gene H. Golub: Shape from moments - an estimation theory perspective. IEEE Transactions on Signal Processing 52(7): 1814-1829 (2004)

Hyunsoo Kim, Gene H. Golub, Haesun Park: Imputation of Missing Values in DNA Microarray Gene Expression Data. CSB 2004: 572-573

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 Analysis Applications 24(3): 603-626 (2003)

Jeff Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins: Simultaneous Registration and Activation Detection for fMRI. IEEE Trans. Med. Imaging 22(11): 1427-1435 (2003)

Yaakov Tsaig, Michael Elad, Gene H. Golub, Peyman Milanfar: Optimal framework for low bit-rate block coders. ICIP (2) 2003: 219-222

Sepandar D. Kamvar, Taher H. Haveliwala, Christopher D. Manning, Gene H. Golub: Extrapolation methods for accelerating PageRank computations. WWW 2003: 261-270

Gene H. Golub, Chen Greif, James M. Varah: Block Orderings for Tensor-Product Grids in Two and Three Dimensions. Numerical Algorithms 30(2): 93-111 (2002)

Nhat Nguyen, Peyman Milanfar, Gene H. Golub: A computationally efficient superresolution image reconstruction algorithm. IEEE Transactions on Image Processing 10(4): 573-583 (2001)

Nhat Nguyen, Peyman Milanfar, Gene H. Golub: Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. IEEE Transactions on Image Processing 10(9): 1299-1308 (2001)

Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel: Computation of Gauss-Kronrod quadrature rules. Math. Comput. 69(231): 1035-1052 (2000)

Gene H. Golub, Denis Vanderstraeten: On the preconditioning of matrices with skew-symmetric splittings. Numerical Algorithms 25(1-4): 223-239 (2000)

Zhaojun Bai, Gene H. Golub: Some Unusual Eigenvalue Problems. VECPAR 1998: 4-19

Gene H. Golub, Charles F. van Loan: Matrix computations (3. ed.). Johns Hopkins University Press 1996, isbn 978-0-8018-5414-9, pp. I-XXVII, 1-694

Gabriel Taubin, Tong Zhang, Gene H. Golub: Optimal Surface Smoothing as Filter Design. ECCV (1) 1996: 283-292

Daniel 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): 302-311 (1995)

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): 149-169 (1981)

Richard H. Bartels, Gene H. Golub: The simplex method of linear programming using LU decomposition. Commun. ACM 12(5): 266-268 (1969)

Richard H. Bartels, Gene H. Golub: Algorithm 350: simplex method procedure employing Lu decomposition [H]. Commun. ACM 12(5): 275-278 (1969)

Peter A. Businger, Gene H. Golub: Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5]. Commun. ACM 12(10): 564-565 (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): 401-406 (1968)

Richard H. Bartels, Gene H. Golub: Algorithms: Algorithm 328: Chebyshev solution to an overdetermined linear system. Commun. ACM 11(6): 428-430 (1968)

Gene H. Golub, T. N. Robertson: A generalized Bairstow algorithm. Commun. ACM 10(6): 371-373 (1967)