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2000 – 2009
- 2009
[j82]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): 154-174 (2009)- [j81]Xiao-Wen Chang, Gene H. Golub:
Solving Ellipsoid-Constrained Integer Least Squares Problems. SIAM J. Matrix Anal. Appl. 31(3): 1071-1089 (2009) - 2008
- [j80]Jack J. Dongarra, Gene H. Golub, Eric H. Grosse, Cleve B. Moler, Keith Moore:
Netlib and NA-Net: Building a Scientific Computing Community. IEEE Ann. Hist. Comput. 30(2): 30-41 (2008) - [j79]Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain:
Symmetric Tensors and Symmetric Tensor Rank. SIAM J. Matrix Anal. Appl. 30(3): 1254-1279 (2008) - [j78]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): 1281-1301 (2008) - 2007
- [j77]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) - [j76]Chris P. Lee, Gene H. Golub, Stefanos A. Zenios:
A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations. Internet Math. 4(4): 299-327 (2007) - [j75]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) - [j74]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): 319-335 (2007) - [j73]Bernhard Beckermann, Gene H. Golub, George Labahn:
On the numerical condition of a generalized Hankel eigenvalue problem. Numerische Mathematik 106(1): 41-68 (2007) - [j72]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): 774-795 (2007) - [p25]Gene H. Golub:
Publications of Gene H. Golub. Milestones in Matrix Computation 2007: 13-29 - [p24]Gene H. Golub:
Major Awards. Milestones in Matrix Computation 2007: 30-31 - [p23]Gene H. Golub:
Students of Gene H. Golub. Milestones in Matrix Computation 2007: 32-34 - [p22]Zhong-Zhi Bai, Michael K. Ng, Gene H. Golub:
Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Milestones in Matrix Computation 2007: 102-128 - [p21]Gene H. Golub, Richard H. Bartels:
The simplex method of linear programming using LU decomposition. Milestones in Matrix Computation 2007 - [p20]Gene H. Golub, Richard S. Varga:
Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II. Milestones in Matrix Computation 2007: 45-67 - [p19]Paul Concus, Gene H. Golub:
A generalized conjugate gradient method for non-symmetric systems of linear equations. Milestones in Matrix Computation 2007: 68-78 - [p18]Paul Concus, Dianne P. O'Leary, Gene H. Golub:
A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. Milestones in Matrix Computation 2007: 79-101 - [p17]Gene H. Golub:
Numerical methods for solving linear least squares problems. Milestones in Matrix Computation 2007: 148-159 - [p16]Gene H. Golub, Christian H. Reinsch:
Singular value decomposition and least squares solutions. Milestones in Matrix Computation 2007: 160-180 - [p15]Gene H. Golub, Víctor Pereyra:
The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate. Milestones in Matrix Computation 2007: 181-201 - [p14]Gene H. Golub, Michael Heath, Grace Wahba:
Generalized cross-validation as a method for choosing a good ridge parameter. Milestones in Matrix Computation 2007: 202-212 - [p13]Gene H. Golub, Charles F. Van Loan:
An analysis of the total least squares problem. Milestones in Matrix Computation 2007: 213-226 - [p12]Gene H. Golub:
References. Milestones in Matrix Computation 2007: 233-235 - [p11]Gene H. Golub, William Kahan:
Calculating the singular values and pseudo-inverse of a matrix. Milestones in Matrix Computation 2007: 236- - [p10]Billy L. Buzbee, Gene H. Golub, Claire W. Nielson:
On direct methods for solving Poisson's equation. Milestones in Matrix Computation 2007: 261-291 - [p9]Åke Björck, Gene H. Golub:
Numerical methods for computing angles between linear subspaces. Milestones in Matrix Computation 2007: 292-308 - [p8]Gene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders:
Methods for modifying matrix factorizations. Milestones in Matrix Computation 2007: 309-344 - [p7]Gene H. Golub, John H. Welsch:
Calculation of Gauss quadrature rules. Milestones in Matrix Computation 2007: 359-379 - [p6]Gene H. Golub, Gérard Meurant:
Matrices, moments, and quadrature. Milestones in Matrix Computation 2007: 380-433 - [p5]Gene H. Golub, Daniela Calvetti, William B. Gragg, Lothar Reichel:
Computation of Gauss-Kronrod Quadrature Rules. Milestones in Matrix Computation 2007: 434-456 - [p4]Gene H. Golub:
Some modified matrix eigenvalue problems. Milestones in Matrix Computation 2007: 467-484 - [p3]Gene H. Golub, James Hardy Wilkinson:
Ill-conditioned eigensystems and the computation of the Jordan canonical form. Milestones in Matrix Computation 2007: 485-527 - [p2]Gene H. Golub, Richard Underwood:
The block Lanczos method for computing eigenvalues. Milestones in Matrix Computation 2007: 528-545 - [p1]Gene H. Golub, Carl de Boor:
The numerically stable reconstruction of a Jacobi matrix from spectral data. Milestones in Matrix Computation 2007: 546- - [i1]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 - 2006
- [j71]Hyunsoo Kim, Gene H. Golub, Haesun Park:
Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinform. 22(11): 1410-1411 (2006) - [j70]Raf Vandebril, Gene H. Golub, Marc Van Barel:
A small note on the scaling of symmetric positive definite semiseparable matrices. Numer. Algorithms 41(3): 319-326 (2006) - [j69]Mike A. Botchev, Gene H. Golub:
A Class of Nonsymmetric Preconditioners for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 27(4): 1125-1149 (2006) - [j68]Delin Chu, Gene H. Golub:
On a Generalized Eigenvalue Problem for Nonsquare Pencils. SIAM J. Matrix Anal. Appl. 28(3): 770-787 (2006) - [j67]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): 260-278 (2006) - [j66]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): 583-603 (2006) - [c9]Pierre Comon, Bernard Mourrain, Lek-Heng Lim, Gene H. Golub:
Genericity And Rank Deficiency Of High Order Symmetric Tensors. ICASSP (3) 2006: 125-128 - 2005
- [j65]Hyunsoo Kim, Gene H. Golub, Haesun Park:
Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinform. 21(2): 187-198 (2005) - [j64]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): 441-484 (2005) - [j63]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): 82-86 (2005) - [j62]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): 582-601 (2005) - [j61]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): 779-792 (2005) - [j60]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): 844-863 (2005) - [j59]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): 1058-1070 (2005) - [j58]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): 154-160 (2005) - 2004
- [j57]Oren E. Livne, Gene H. Golub:
Scaling by Binormalization. Numer. Algorithms 35(1): 97-120 (2004) - [j56]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): 1-32 (2004) - [j55]Michele Benzi, Gene H. Golub:
A Preconditioner for Generalized Saddle Point Problems. SIAM J. Matrix Anal. Appl. 26(1): 20-41 (2004) - [j54]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): 498-521 (2004) - [j53]Michael Elad, Peyman Milanfar, Gene H. Golub:
Shape from moments - an estimation theory perspective. IEEE Trans. Signal Process. 52(7): 1814-1829 (2004) - [c8]Hyunsoo Kim, Gene H. Golub, Haesun Park:
Imputation of Missing Values in DNA Microarray Gene Expression Data. CSB 2004: 572-573 - 2003
- [j52]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): 603-626 (2003) - [j51]Gene H. Golub, Chen Greif:
On Solving Block-Structured Indefinite Linear Systems. SIAM J. Sci. Comput. 24(6): 2076-2092 (2003) - [j50]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): 1427-1435 (2003) - [c7]Yaakov Tsaig, Michael Elad, Gene H. Golub, Peyman Milanfar:
Optimal framework for low bit-rate block coders. ICIP (2) 2003: 219-222 - [c6]Jeffery J. Orchard, Chen Greif, Gene H. Golub, Bruce Bjornson, M. Stella Atkins:
Overcoming activation-induced registration errors in fMRI. Image Processing 2003 - [c5]Sepandar D. Kamvar, Taher H. Haveliwala, Christopher D. Manning, Gene H. Golub:
Extrapolation methods for accelerating PageRank computations. WWW 2003: 261-270 - 2002
- [j49]Gene H. Golub, Chen Greif, James M. Varah:
Block Orderings for Tensor-Product Grids in Two and Three Dimensions. Numer. Algorithms 30(2): 93-111 (2002) - [j48]Gene H. Golub, Qiang Ye:
An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems. SIAM J. Sci. Comput. 24(1): 312-334 (2002) - 2001
- [j47]Gene H. Golub, Ahmed H. Sameh, Vivek Sarin:
A parallel balance scheme for banded linear systems. Numer. Linear Algebra Appl. 8(5): 297-316 (2001) - [j46]Tong Zhang, Gene H. Golub:
Rank-One Approximation to High Order Tensors. SIAM J. Matrix Anal. Appl. 23(2): 534-550 (2001) - [j45]Nhat Nguyen, Peyman Milanfar, Gene H. Golub:
A computationally efficient superresolution image reconstruction algorithm. IEEE Trans. Image Process. 10(4): 573-583 (2001) - [j44]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): 1299-1308 (2001) - 2000
- [j43]Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel:
Computation of Gauss-Kronrod quadrature rules. Math. Comput. 69(231): 1035-1052 (2000) - [j42]Gene H. Golub, Denis Vanderstraeten:
On the preconditioning of matrices with skew-symmetric splittings. Numer. Algorithms 25(1-4): 223-239 (2000) - [j41]Gene H. Golub, Knut Sølna, Paul Van Dooren:
Computing the SVD of a General Matrix Product/Quotient. SIAM J. Matrix Anal. Appl. 22(1): 1-19 (2000) - [j40]Malcolm F. Murphy, Gene H. Golub, Andrew J. Wathen:
A Note on Preconditioning for Indefinite Linear Systems. SIAM J. Sci. Comput. 21(6): 1969-1972 (2000)
1990 – 1999
- 1999
- [j39]Sylvan Elhay, Graham M. L. Gladwell, Gene H. Golub, Yitshak M. Ram:
On Some Eigenvector-Eigenvalue Relations. SIAM J. Matrix Anal. Appl. 20(3): 563-574 (1999) - [j38]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): 839-859 (1999) - [j37]Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary:
Tikhonov Regularization and Total Least Squares. SIAM J. Matrix Anal. Appl. 21(1): 185-194 (1999) - [j36]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): 1964-1977 (1999) - [j35]Gene H. Golub, Peyman Milanfar, James M. Varah:
A Stable Numerical Method for Inverting Shape from Moments. SIAM J. Sci. Comput. 21(4): 1222-1243 (1999) - [j34]Gene H. Golub, Qiang Ye:
Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration. SIAM J. Sci. Comput. 21(4): 1305-1320 (1999) - [c4]Nhat Nguyen, Gene H. Golub, Peyman Milanfar:
Preconditioners for regularized image superresolution. ICASSP 1999: 3249-3252 - 1998
- [j33]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): 235-252 (1998) - [j32]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): 428-436 (1998) - [j31]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): 530-539 (1998) - [j30]Gene H. Golub, Lan Chieh Huang, Horst D. 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): 1606-1624 (1998) - [j29]Tong Zhang, Kincho H. Law, Gene H. Golub:
On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems. SIAM J. Sci. Comput. 19(5): 1625-1645 (1998) - [j28]James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel:
Adaptively Preconditioned GMRES Algorithms. SIAM J. Sci. Comput. 20(1): 243-269 (1998) - [c3]Zhaojun Bai, Gene H. Golub:
Some Unusual Eigenvalue Problems. VECPAR 1998: 4-19 - 1997
- [j27]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): 1082-1092 (1997) - [j26]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): 1223-1241 (1997) - [j25]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): 195-197 (1997) - 1996
- [b1]Gene H. Golub, Charles F. Van Loan:
Matrix Computations, Third Edition. Johns Hopkins University Press 1996, ISBN 978-0-8018-5414-9, pp. I-XXVII, 1-694 - [j24]Sowmini Varadhan, Michael W. Berry, Gene H. Golub:
Approximating dominant singular triplets of large sparse matrices via modified moments. Numer. Algorithms 13(1): 123-152 (1996) - [c2]Gabriel Taubin, Tong Zhang, Gene H. Golub:
Optimal Surface Smoothing as Filter Design. ECCV (1) 1996: 283-292 - 1995
- [j23]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): 363-378 (1995) - [j22]Peter Arbenz, Gene H. Golub:
Matrix shapes invariant under the symmetric QR algorithm. Numer. Linear Algebra Appl. 2(2): 87-93 (1995) - [j21]Moody T. Chu, Robert Funderlic, Gene H. Golub:
A Rank-One Reduction Formula and Its Applications to Matrix Factorizations. SIAM Rev. 37(4): 512-530 (1995) - [j20]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) - 1994
- [j19]Augustin A. Dubrulle, Gene H. Golub:
A multishift QR iteration without computation of the shifts. Numer. Algorithms 7(2): 173-181 (1994) - [j18]Gene H. Golub, Zdenek Strakos:
Estimates in quadratic formulas. Numer. Algorithms 8(2): 241-268 (1994) - 1993
- [c1]Shilpa Talwar, Arogyaswami Paulraj, Gene H. Golub:
A robust numerical approach for array calibration. ICASSP (4) 1993: 316-319 - 1992
- [j17]Daniel Boley, Richard P. Brent, Gene H. Golub, Franklin T. Luk:
Algorithmic Fault Tolerance Using the Lanczos Method. SIAM J. Matrix Anal. Appl. 13(1): 312-332 (1992) - [j16]Peter Arbenz, Gene H. Golub:
QR-Like Algorithms for Symmetric Arrow Matrices. SIAM J. Matrix Anal. Appl. 13(2): 655-658 (1992) - [j15]Thomas A. Manteuffel, Gene H. Golub:
Introduction. SIAM J. Matrix Anal. Appl. 13(3): 765-766 (1992) - [j14]Howard C. Elman, Gene H. Golub:
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems. SIAM J. Sci. Comput. 13(1): 339-363 (1992) - 1991
- [j13]William R. Ferng, Gene H. Golub, Robert J. Plemmons:
Adaptive Lanczos methods for recursive condition estimation. Numer. Algorithms 1(1): 1-19 (1991) - [j12]Daniel Boley, Sylvan Elhay, Gene H. Golub, Martin H. Gutknecht:
Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights. Numer. Algorithms 1(1): 21-43 (1991) - [j11]Michael W. Berry, Gene H. Golub:
Estimating the largest singular values of large sparse matrices via modified moments. Numer. Algorithms 1(3): 353-373 (1991) - 1990
- [j10]Pierre Comon, Gene H. Golub:
Tracking a few extreme singular values and vectors in signal processing. Proc. IEEE 78(8): 1327-1343 (1990)
1980 – 1989
- 1989
- [j9]Gene H. Golub, Dianne P. O'Leary:
Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976. SIAM Rev. 31(1): 50-102 (1989) - 1981
- [j8]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)
1970 – 1979
- 1978
- [j7]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): 321-339 (1978)
1960 – 1969
- 1969
- [j6]Richard H. Bartels, Gene H. Golub:
The simplex method of linear programming using LU decomposition. Commun. ACM 12(5): 266-268 (1969) - [j5]Richard H. Bartels, Gene H. Golub:
Algorithm 350: simplex method procedure employing Lu decomposition [H]. Commun. ACM 12(5): 275-278 (1969) - [j4]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) - 1968
- [j3]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) - [j2]Richard H. Bartels, Gene H. Golub:
Algorithms: Algorithm 328: Chebyshev solution to an overdetermined linear system. Commun. ACM 11(6): 428-430 (1968) - 1967
- [j1]Gene H. Golub, T. N. Robertson:
A generalized Bairstow algorithm. Commun. ACM 10(6): 371-373 (1967)
Coauthor Index
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