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Gene H. Golub - Publications

Affiliations: 
Stanford University, Palo Alto, CA 
Area:
Mathematics
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Year Citation  Score
2009 Vandebril R, Golub G, Van Barel M. A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem Siam Journal On Matrix Analysis and Applications. 31: 154-174. DOI: 10.1137/070679491  0.376
2009 Chang X, Golub GH, Paige CC. Towards A Backward Perturbation Analysis For Data Least Squares Problems Siam Journal On Matrix Analysis and Applications. 30: 1281-1301. DOI: 10.1137/060668626  0.342
2009 Chang XW, Golub GH. Solving ellipsoid-constrained integer least squares problems Siam Journal On Matrix Analysis and Applications. 31: 1071-1089. DOI: 10.1137/060660680  0.433
2009 Golub GH. Matrices, moments and quadrature with applications Matrices, Moments and Quadrature With Applications.  0.338
2008 Comon P, Golub G, Lim L, Mourrain B. Symmetric Tensors and Symmetric Tensor Rank Siam Journal On Matrix Analysis and Applications. 30: 1254-1279. DOI: 10.1137/060661569  0.352
2008 Gao XB, Golub GH, Liao LZ. Continuous methods for symmetric generalized eigenvalue problems Linear Algebra and Its Applications. 428: 676-696. DOI: 10.1016/J.Laa.2007.08.034  0.469
2008 Bai ZZ, Golub GH, Ng MK. On inexact hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems Linear Algebra and Its Applications. 428: 413-440. DOI: 10.1016/J.Laa.2007.02.018  0.442
2008 Wu X, Golub GH, Cuminato JA, Yuan JY. Symmetric-triangular decomposition and its applications part II: Preconditioners for indefinite systems Bit Numerical Mathematics. 48: 139-162. DOI: 10.1007/S10543-008-0160-5  0.412
2008 Golub GH, Stoll M, Wathen A. Approximation of the scattering amplitude and linear systems Electronic Transactions On Numerical Analysis. 31: 178-203.  0.311
2007 Omberg L, Golub GH, Alter O. A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies. Proceedings of the National Academy of Sciences of the United States of America. 104: 18371-6. PMID 18003902 DOI: 10.1073/Pnas.0709146104  0.754
2007 Golub GH, Ruiz D, Touhami A. A hybrid approach combining Chebyshev filter and conjugate gradient for solving linear systems with multiple right-hand sides Siam Journal On Matrix Analysis and Applications. 29: 774-795. DOI: 10.1137/060649458  0.443
2007 Bai ZZ, Golub GH. Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems Ima Journal of Numerical Analysis. 27: 1-23. DOI: 10.1093/Imanum/Drl017  0.432
2007 Bai ZZ, Golub GH, Li CK. Convergence properties of preconditioned hermitian and skew-hermitian splitting methods for non-hermitian positive semidefinite matrices Mathematics of Computation. 76: 287-298. DOI: 10.1090/S0025-5718-06-01892-8  0.406
2007 Beckermann B, Golub GH, Labahn G. On the numerical condition of a generalized Hankel eigenvalue problem Numerische Mathematik. 106: 41-68. DOI: 10.1007/S00211-006-0054-X  0.437
2007 Bai ZZ, Golub GH, Ng MK. On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations Numerical Linear Algebra With Applications. 14: 319-335. DOI: 10.1002/Nla.517  0.433
2006 Alter O, Golub GH. Singular value decomposition of genome-scale mRNA lengths distribution reveals asymmetry in RNA gel electrophoresis band broadening. Proceedings of the National Academy of Sciences of the United States of America. 103: 11828-33. PMID 16877539 DOI: 10.1073/Pnas.0604756103  0.76
2006 Boutry G, Elad M, Golub GH, Milanfar P. The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach Siam Journal On Matrix Analysis and Applications. 27: 582-601. DOI: 10.1137/S0895479803428795  0.408
2006 Chu D, Golub GH. On a generalized eigenvalue problem for nonsquare pencils Siam Journal On Matrix Analysis and Applications. 28: 770-787. DOI: 10.1137/050628258  0.371
2006 Bertaccini D, Golub GH, Serra-Capizzano S. Spectral analysis of a preconditioned iterative method for the convection-diffusion equation Siam Journal On Matrix Analysis and Applications. 29: 260-278. DOI: 10.1137/050627381  0.372
2006 Botchev MA, Golub GH. A class of nonsymmetric preconditioners for saddle point problems Siam Journal On Matrix Analysis and Applications. 27: 1125-1149. DOI: 10.1137/040618680  0.414
2006 Cuyt A, Golub G, Milanfar P, Verdonk B. Multidimensional integral inversion, with applications in shape reconstruction Siam Journal On Scientific Computing. 27: 1058-1070. DOI: 10.1137/030601703  0.331
2006 Golub GH, Liao LZ. Continuous methods for extreme and interior eigenvalue problems Linear Algebra and Its Applications. 415: 31-51. DOI: 10.1016/J.Laa.2005.01.009  0.453
2006 Vandebril R, Golub G, Van Barel M. A small note on the scaling of symmetric positive definite semiseparable matrices Numerical Algorithms. 41: 319-326. DOI: 10.1007/S11075-006-9014-X  0.364
2006 Golub GH, Greif C. An Arnoldi-type algorithm for computing page rank Bit Numerical Mathematics. 46: 759-771. DOI: 10.1007/S10543-006-0091-Y  0.408
2006 Bartels RH, Golub GH, Samavati FF. Some observations on local least squares Bit Numerical Mathematics. 46: 455-477. DOI: 10.1007/S10543-006-0075-Y  0.364
2005 Alter O, Golub GH. Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations. Proceedings of the National Academy of Sciences of the United States of America. 102: 17559-64. PMID 16314560 DOI: 10.1073/Pnas.0509033102  0.751
2005 Kim H, Golub GH, Park H. Missing value estimation for DNA microarray gene expression data: local least squares imputation. Bioinformatics (Oxford, England). 21: 187-98. PMID 15333461 DOI: 10.1093/Bioinformatics/Bth499  0.326
2005 Bai ZZ, Golub GH, Lu LZ, Yin JF. Block triangular and skew-Hermitian splitting methods for positive-definite linear systems Siam Journal On Scientific Computing. 26: 844-863. DOI: 10.1137/S1064827503428114  0.435
2005 Holz UB, Golub GH, Law KH. A subspace approximation method for the quadratic eigenvalue problem Siam Journal On Matrix Analysis and Applications. 26: 498-521. DOI: 10.1137/S0895479803423378  0.712
2005 Benzi M, Golub GH. A preconditioner for generalized saddle point problems Siam Journal On Matrix Analysis and Applications. 26: 20-41. DOI: 10.1137/S0895479802417106  0.442
2005 Golub GH, Greif C, Varah JM. An algebraic analysis of a block diagonal preconditioner for saddle point systems Siam Journal On Matrix Analysis and Applications. 27: 779-792. DOI: 10.1137/04060679X  0.362
2005 Benzi M, Golub GH, Liesen J. Numerical solution of saddle point problems Acta Numerica. 14: 1-137. DOI: 10.1017/S0962492904000212  0.413
2005 Vandebril R, Van Barel M, Golub G, Mastronardi N. A bibliography on semiseparable matrices Calcolo. 42: 249-270. DOI: 10.1007/S10092-005-0107-Z  0.363
2005 Bertaccini D, Golub GH, Capizzano SS, Possio CT. Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation Numerische Mathematik. 99: 441-484. DOI: 10.1007/S00211-004-0574-1  0.405
2004 Alter O, Golub GH. Integrative analysis of genome-scale data by using pseudoinverse projection predicts novel correlation between DNA replication and RNA transcription. Proceedings of the National Academy of Sciences of the United States of America. 101: 16577-82. PMID 15545604 DOI: 10.1073/Pnas.0406767101  0.751
2004 Elad M, Milanfar P, Golub GH. Shape from moments - An estimation theory perspective Ieee Transactions On Signal Processing. 52: 1814-1828. DOI: 10.1109/Tsp.2004.828919  0.379
2004 Livne OE, Golub GH. Scaling by binormalization Numerical Algorithms. 35: 97-120. DOI: 10.1023/B:Numa.0000016606.32820.69  0.373
2004 Yuan JY, Golub GH, Plemmons RJ, Cecílio WAG. Semi-conjugate direction methods for real positive definite systems Bit Numerical Mathematics. 44: 189-207. DOI: 10.1023/B:Bitn.0000025092.92213.Da  0.388
2004 Kamvar S, Haveliwala T, Golub G. Adaptive methods for the computation of PageRank Linear Algebra and Its Applications. 386: 51-65. DOI: 10.1016/J.Laa.2003.12.008  0.34
2004 Sima DM, Van Huffel S, Golub GH. Regularized total least squares based on quadratic eigenvalue problem solvers Bit Numerical Mathematics. 44: 793-812. DOI: 10.1007/S10543-004-6024-8  0.426
2004 Bai ZZ, Golub GH, Pan JY. Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems Numerische Mathematik. 98: 1-32. DOI: 10.1007/S00211-004-0521-1  0.424
2004 Alter O, Golub GH, Brown PO, Botstein D. Integrative data-driven mathematical models predict novel genomescale correlation between DNA replication initiation and RNA transcription during the cell cycle in yeast Aiche Annual Meeting, Conference Proceedings. 8303-8304.  0.636
2004 Alter O, Golub GH, Brown PO, Botstein D. Integrative data-driven mathematical models predict novel genome-scale correlation between DNA replication initiation and RNA transcription during the cell cycle in yeast Aiche Annual Meeting, Conference Proceedings. 1007-1008.  0.645
2003 Golub GH, Ye Q. An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems Siam Journal On Scientific Computing. 24: 312-334. DOI: 10.1137/S1064827500382579  0.478
2003 Golub GH, Greif C. On solving block-structured indefinite linear systems Siam Journal On Scientific Computing. 24: 2076-2092. DOI: 10.1137/S1064827500375096  0.341
2003 Bai ZZ, Golub GH, Ng MK. Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems Siam Journal On Matrix Analysis and Applications. 24: 603-626. DOI: 10.1137/S0895479801395458  0.454
2003 Golub G, Pereyra V. Separable nonlinear least squares: the variable projection method and its applications Inverse Problems. 19: R1-R26. DOI: 10.1088/0266-5611/19/2/201  0.405
2003 Benzi M, Gander MJ, Golub GH. Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems Bit Numerical Mathematics. 43: 881-900. DOI: 10.1023/B:Bitn.0000014548.26616.65  0.369
2003 Elhay S, Golub GH, Ram YM. The Spectrum of a Modified Linear Pencil Computers and Mathematics With Applications. 46: 1413-1426. DOI: 10.1016/S0898-1221(03)90229-X  0.415
2002 Zhang T, Golub GH. Rank-one approximation to high order tensors Siam Journal On Matrix Analysis and Applications. 23: 534-550. DOI: 10.1137/S0895479899352045  0.454
2002 Golub GH, Yuan JY. Symmetric-triangular decomposition and its applications part I: Theorems and algorithms Bit Numerical Mathematics. 42: 814-822. DOI: 10.1023/A:1021904604693  0.375
2002 Golub GH, Greif C, Varah JM. Block orderings for tensor-product grids in two and three dimensions Numerical Algorithms. 30: 93-111. DOI: 10.1023/A:1016030016985  0.415
2002 Chu MT, Golub GH. Structured inverse eigenvalue problems Acta Numerica. 11: 1-71. DOI: 10.1017/S0962492902000016  0.399
2002 Concus P, Golub GH, Sun Y. Object-oriented parallel algorithms for computing three-dimensional isopycnal flow International Journal For Numerical Methods in Fluids. 39: 585-605. DOI: 10.1002/Fld.257  0.476
2001 Milanfar P, Nguyen N, Golub G. Some advances in multiframe resolution enhancement Studies in Regional Science. DOI: 10.1364/Srs.2001.Swb1  0.468
2001 Nguyen N, Milanfar P, Golub G. Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement Ieee Transactions On Image Processing. 10: 1299-1308. DOI: 10.1109/83.941854  0.577
2001 Nguyen N, Milanfar P, Golub G. A computationally efficient superresolution image reconstruction algorithm Ieee Transactions On Image Processing. 10: 573-583. DOI: 10.1109/83.913592  0.597
2001 Golub GH. A stochastic approach to error estimates for iterative linear solvers: Part 1 Bit Numerical Mathematics. 41: 977-985. DOI: 10.1023/A:1021985111111  0.339
2001 Golub GH, Wu X, Yuan JY. SOR-like methods for augmented systems Bit Numerical Mathematics. 41: 71-85. DOI: 10.1023/A:1021965717530  0.389
2001 Golub GH, Sameh AH, Sarin V. A parallel balance scheme for banded linear systems Numerical Linear Algebra With Applications. 8: 297-316. DOI: 10.1002/Nla.241  0.424
2000 Murphy MF, Golub GH, Wathen AJ. Note on preconditioning for indefinite linear systems Siam Journal On Scientific Computing. 21: 1969-1972. DOI: 10.1137/S1064827599355153  0.405
2000 Golub G, Solna K, Van Dooren P. Computing the SVD of a General Matrix Product/Quotient Siam Journal On Matrix Analysis and Applications. 22: 1-19. DOI: 10.1137/S0895479897325578  0.392
2000 Calvetti D, Golub GH, Gragg WB, Reichel L. Computation of Gauss-Kronrod of quadrature rules Mathematics of Computation. 69: 1035-1052. DOI: 10.1090/S0025-5718-00-01174-1  0.343
2000 Golub GH, Ye Q. Inexact inverse iteration for generalized eigenvalue problems Bit Numerical Mathematics. 40: 671-684. DOI: 10.1023/A:1022388317839  0.448
2000 Golub GH, Vanderstraeten D. On the preconditioning of matrices with skew-symmetric splittings Numerical Algorithms. 25: 223-239. DOI: 10.1023/A:1016637813615  0.42
2000 Golub GH, Van Der Vorst HA. Eigenvalue computation in the 20th century Journal of Computational and Applied Mathematics. 123: 35-65. DOI: 10.1016/S0377-0427(00)00413-1  0.401
2000 Golub GH, Zhang Z, Zha H. Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations Linear Algebra and Its Applications. 309: 289-306. DOI: 10.1016/S0024-3795(99)00204-9  0.377
1999 Golub GH, Milanfar P, Varah J. A stable numerical method for inverting shape from moments Siam Journal On Scientific Computing. 21: 1222-1243. DOI: 10.1137/S1064827597328315  0.421
1999 Golub GH, Ye Q. Inexact preconditioned conjugate gradient method with inner-outer iteration Siam Journal On Scientific Computing. 21: 1305-1320. DOI: 10.1137/S1064827597323415  0.389
1999 Chan TF, Golub GH, Mulet P. A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration Siam Journal On Scientific Computing. 20: 1964-1977. DOI: 10.1137/S1064827596299767  0.389
1999 Golub GH, Hansen PC, O'Leary DP. Tikhonov regularization and total least squares Siam Journal On Matrix Analysis and Applications. 21: 185-194. DOI: 10.1137/S0895479897326432  0.493
1999 Golub GH, Hansen PC, O'Leary DP. Tikhonov Regularization and Total Least Squares Siam Journal On Matrix Analysis and Applications. 21: 185-194. DOI: 10.1137/S0895479897326432  0.549
1999 Elhay S, Gladwell GML, Golub GH, Ram YM. On some eigenvector-eigenvalue relations Siam Journal On Matrix Analysis and Applications. 20: 563-574. DOI: 10.1137/S089547989631072X  0.361
1999 Chandrasekaran S, Golub GH, Gu M, Sayed AH. An Efficient Algorithm for a Bounded Errors-in-Variables Model Siam Journal On Matrix Analysis and Applications. 20: 839-859. DOI: 10.1137/S0895479896304678  0.409
1999 Calvetti D, Golub GH, Reichel L. Estimation of the L-Curve via Lanczos Bidiagonalization Bit Numerical Mathematics. 39: 603-619. DOI: 10.1023/A:1022383005969  0.327
1999 Benzi M, Golub GH. Bounds for the entries of matrix functions with applications to preconditioning Bit Numerical Mathematics. 39: 417-438. DOI: 10.1023/A:1022362401426  0.34
1999 Calvetti D, Golub GH, Reichel L. A computable error bound for matrix functional Journal of Computational and Applied Mathematics. 103: 301-306. DOI: 10.1016/S0377-0427(98)00267-2  0.393
1999 Zhang T, Golub GH, Law KH. Subspace iterative methods for eigenvalue problems Linear Algebra and Its Applications. 294: 239-258. DOI: 10.1016/S0024-3795(99)00074-9  0.445
1999 Bai Z, Golub GH. Some unusual eigenvalue problems Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1573: 4-19. DOI: 10.1007/10703040_2  0.339
1998 Baglama J, Calvetti D, Golub GH, Reichel L. Adaptively preconditioned gmres algorithms Siam Journal On Scientific Computing. 20: 243-269. DOI: 10.1137/S1064827596305258  0.422
1998 Zhang T, Law KH, Golub GH. ON the homotopy method for perturbed symmetric generalized eigenvalue problems Siam Journal On Scientific Computing. 19: 1625-1645. DOI: 10.1137/S1064827596299755  0.465
1998 Golub GH, Wathen AJ. An iteration for indefinite systems and its application to the Navier-Stokes equations Siam Journal On Scientific Computing. 19: 530-539. DOI: 10.1137/S106482759529382X  0.348
1998 Golub GH, Huang LC, Simon H, Tang WP. A fast poisson solver for the finite difference solution of the incompressible Navier-Stokes equations Siam Journal On Scientific Computing. 19: 1606-1624. DOI: 10.1137/S1064827595285299  0.326
1998 Chandrasekaran S, Golub GH, Gu M, Sayed AH. Parameter Estimation in the Presence of Bounded Data Uncertainties Siam Journal On Matrix Analysis and Applications. 19: 235-252. DOI: 10.1137/S0895479896301674  0.378
1998 Andersson LE, Elfving T, Golub GH. Solution of biharmonic equations with application to radar imaging Journal of Computational and Applied Mathematics. 94: 153-180. DOI: 10.1016/S0377-0427(98)00079-X  0.379
1998 Zhang T, Golub GH, Law KH. Eigenvalue perturbation and generalized Krylov subspace method Applied Numerical Mathematics. 27: 185-202. DOI: 10.1016/S0168-9274(98)00002-6  0.365
1997 Fierro RD, Golub GH, Hansen PC, O'Leary DP. Regularization by truncated total least squares Siam Journal On Scientific Computing. 18: 1223-1241. DOI: 10.1137/S1064827594263837  0.467
1997 Fierro RD, Golub GH, Hansen PC, O'Leary DP. Regularization by Truncated Total Least Squares Siam Journal On Scientific Computing. 18: 1223-1241. DOI: 10.1137/S1064827594263837  0.547
1997 Chu MT, Funderlic RE, Golub GH. On a variational formulation of the generalized singular value decomposition Siam Journal On Matrix Analysis and Applications. 18: 1082-1092. DOI: 10.1137/S0895479895287079  0.334
1997 Chandrasekaran S, Golub GH, Gu M, Sayed AH. Parameter estimation in the presence of bounded modeling errors Ieee Signal Processing Letters. 4: 195-197. DOI: 10.1109/97.596884  0.355
1997 Golub GH, Von Matt U. Generalized cross-validation for large-scale problems Journal of Computational and Graphical Statistics. 6: 1-34. DOI: 10.1080/10618600.1997.10474725  0.435
1997 Golub GH, Meurant G. Matrices, moments and quadrature II; how to compute the norm of the error in iterative methods Bit Numerical Mathematics. 37: 687-705. DOI: 10.1007/Bf02510247  0.403
1996 Bai Z, Fahey G, Golub G. Some large-scale matrix computation problems Journal of Computational and Applied Mathematics. 74: 71-89. DOI: 10.1016/0377-0427(96)00018-0  0.439
1996 Varadhan S, Berry MW, Golub GH. Approximating dominant singular triplets of large sparse matrices via modified moments Numerical Algorithms. 13: 123-152. DOI: 10.1007/Bf02143130  0.386
1995 Chu MT, Funderlic RE, Golub GH. A Rank–One Reduction Formula and Its Applications to Matrix Factorizations Siam Review. 37: 512-530. DOI: 10.1137/1037124  0.34
1995 Boley D, Golub GH, Makar S, Saxena N, McCluskey EJ. Floating Point Fault Tolerance with Backward Error Assertions Ieee Transactions On Computers. 44: 302-311. DOI: 10.1109/12.364541  0.314
1995 Lui SH, Golub GH. Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators Numerical Algorithms. 10: 363-378. DOI: 10.1007/Bf02140775  0.401
1995 Arbenz P, Golub GH. Matrix shapes invariant under the symmetric QR algorithm Numerical Linear Algebra With Applications. 2: 87-93. DOI: 10.1002/Nla.1680020203  0.358
1994 Elman HC, Golub GH. Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems Siam Journal On Numerical Analysis. 31: 1645-1661. DOI: 10.1137/0731085  0.406
1994 Golub GH, Zha H. Perturbation analysis of the canonical correlations of matrix pairs Linear Algebra and Its Applications. 210: 3-28. DOI: 10.1016/0024-3795(94)90463-4  0.367
1994 Elman HC, Golub GH, Starke G. On the convergence of line iterative methods for cyclicallyreduced non-symmetrizable linear systems Numerische Mathematik. 67: 177-190. DOI: 10.1007/S002110050023  0.38
1994 Calvetti D, Golub GH, Reichel L. An adaptive Chebyshev iterative method\newline fornonsymmetric linear systems based on modified moments Numerische Mathematik. 67: 21-40. DOI: 10.1007/S002110050016  0.424
1994 Golub GH, Strakoš Z. Estimates in quadratic formulas Numerical Algorithms. 8: 241-268. DOI: 10.1007/Bf02142693  0.413
1994 Dubrulle AA, Golub GH. A multishift QR iteration without computation of the shifts Numerical Algorithms. 7: 173-181. DOI: 10.1007/Bf02140681  0.355
1994 Gander W, Golub GH, Strebel R. Least-squares fitting of circles and ellipses Bit. 34: 558-578. DOI: 10.1007/Bf01934268  0.386
1994 Carey CMM, Golub GH, Law KH. A Lanczos-based method for structural dynamic reanalysis problems International Journal For Numerical Methods in Engineering. 37: 2857-2883. DOI: 10.1002/Nme.1620371610  0.415
1993 S. HJ, Golub GH, Ortega JM. Scientific Computing and Differential Equations--An Introduction to Numerical Methods. Mathematics of Computation. 60: 849. DOI: 10.2307/2153127  0.322
1992 Elman HC, Golub GH. Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems Siam Journal On Scientific and Statistical Computing. 13: 339-363. DOI: 10.1137/0913018  0.408
1992 Arbenz P, Golub GH. QR-Like Algorithms for Symmetric Arrow Matrices Siam Journal On Matrix Analysis and Applications. 13: 655-658. DOI: 10.1137/0613039  0.318
1992 Boley DL, Brent RP, Golub GH, Luk FT. Algorithmic Fault Tolerance Using the Lanczos Method Siam Journal On Matrix Analysis and Applications. 13: 312-332. DOI: 10.1137/0613023  0.332
1992 Freund RW, Nachtigal NM, Golub GH. Iterative solution of linear systems Acta Numerica. 1: 57-100. DOI: 10.1017/S0962492900002245  0.372
1992 Carey C, Chen H, Golub G, Sameh A. A new approach for solving symmetric eigenvalue problems Computing Systems in Engineering. 3: 671-679. DOI: 10.1016/0956-0521(92)90018-E  0.406
1992 Fischer B, Golub GH. How to generate unknown orthogonal polynomials out of known orthogonal polynomials Journal of Computational and Applied Mathematics. 43: 99-115. DOI: 10.1016/0377-0427(92)90261-U  0.333
1992 Golub G, Kågström B, Van Dooren P. Direct block tridiagonalization of single-input single-output systems Systems & Control Letters. 18: 109-120. DOI: 10.1016/0167-6911(92)90015-K  0.3
1992 Elhay S, Golub GH, Kautsky J. Jacobi matrices for sums of weight functions Bit. 32: 143-166. DOI: 10.1007/Bf01995114  0.399
1991 De Moor BLR, Golub GH. The Restricted Singular Value Decomposition: Properties and Applications Siam Journal On Matrix Analysis and Applications. 12: 401-425. DOI: 10.1137/0612029  0.454
1991 Elhay S, Golub GH, Kautsky J. Updating and Downdating of Orthogonal Polynomials with Data Fitting Applications Siam Journal On Matrix Analysis and Applications. 12: 327-353. DOI: 10.1137/0612024  0.381
1991 Fischer B, Golub GH. On generating polynomials which are orthogonal over several intervals Mathematics of Computation. 56: 711-730. DOI: 10.1090/S0025-5718-1991-1068818-5  0.348
1991 Boley DL, Elhay S, Golub GH, Gutknecht MH. Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights Numerical Algorithms. 1: 21-43. DOI: 10.1007/Bf02145581  0.381
1991 Ferng WR, Golub GH, Plemmons RJ. Adaptive Lanczos methods for recursive condition estimation Numerical Algorithms. 1: 1-19. DOI: 10.1007/Bf02145580  0.379
1991 Berry M, Golub G. Estimating the largest singular values of large sparse matrices via modified moments Numerical Algorithms. 1: 353-373. DOI: 10.1007/Bf02142380  0.447
1991 Golub GH, von Matt U. Quadratically constrained least squares and quadratic problems Numerische Mathematik. 59: 561-580. DOI: 10.1007/Bf01385796  0.44
1990 Elman HC, Golub GH. Iterativem ethods for cyclicallyr educed non-self-adjoint linear systems Mathematics of Computation. 54: 671-700. DOI: 10.1090/S0025-5718-1990-1011442-X  0.435
1990 Golub GH, Gutknecht MH. Modified moments for indefinite weight functions Numerische Mathematik. 57: 607-624. DOI: 10.1007/Bf01386431  0.379
1989 Golub GH. Estimates of eigenvalues for iterative methods Mathematics of Computation. 53: 619-625. DOI: 10.1090/S0025-5718-1989-0979938-6  0.382
1989 Gander W, Golub GH, von Matt U. A constrained eigenvalue problem Linear Algebra and Its Applications. 114: 815-839. DOI: 10.1007/978-3-642-75536-1_57  0.456
1988 Arbenz P, Golub GH. On the Spectral Decomposition of Hermitian Matrices Modified by Low Rank Perturbations with Applications Siam Journal On Matrix Analysis and Applications. 9: 40-58. DOI: 10.1137/0609004  0.337
1988 Arbenz P, Gander W, Golub GH. Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations Linear Algebra and Its Applications. 104: 75-95. DOI: 10.1016/0024-3795(88)90309-6  0.425
1988 Golub GH, Overton ML. The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems Numerische Mathematik. 53: 571-593. DOI: 10.1007/Bf01397553  0.43
1987 Boley D, Golub GH. A survey of matrix inverse eigenvalue problems Inverse Problems. 3: 595-622. DOI: 10.1088/0266-5611/3/4/010  0.431
1987 Golub GH, Hoffman A, Stewart GW. A generalization of the Eckart-Young-Mirsky matrix approximation theorem Linear Algebra and Its Applications. 88: 317-327. DOI: 10.1016/0024-3795(87)90114-5  0.431
1985 Concus P, Golub GH, Meurant G. Block Preconditioning for the Conjugate Gradient Method Siam Journal On Scientific and Statistical Computing. 6: 220-252. DOI: 10.1137/0906018  0.444
1984 Boley D, Golub GH. A modified method for reconstructing periodic jacobi matrices Mathematics of Computation. 42: 143-150. DOI: 10.1090/S0025-5718-1984-0725989-1  0.438
1984 Boley DL, Golub GH. The Lanczos-Arnoldi algorithm and controllability Systems and Control Letters. 4: 317-324. DOI: 10.1016/S0167-6911(84)80072-9  0.349
1984 Gallant AR, Golub GH. Imposing curvature restrictions on flexible functional forms Journal of Econometrics. 26: 295-321. DOI: 10.1016/0304-4076(84)90024-1  0.344
1983 Chan TF, Golub GH, Leveque RJ. Statistical computing: Algorithms for computing the sample variance: Analysis and recommendations American Statistician. 37: 242-247. DOI: 10.1080/00031305.1983.10483115  0.364
1983 Kautsky J, Golub GH. On the calculation of Jacobi Matrices Linear Algebra and Its Applications. 52: 439-455. DOI: 10.1016/0024-3795(83)80028-7  0.395
1983 Golub GH, Kautsky J. Calculation of Gauss quadratures with multiple free and fixed knots Numerische Mathematik. 41: 147-163. DOI: 10.1007/Bf01390210  0.417
1982 Golub GH, Nash SG. Nonorthogonal analysis of variance using a generalized conjugate-gradient algorithm Journal of the American Statistical Association. 77: 109-116. DOI: 10.1080/01621459.1982.10477773  0.439
1981 Golub GH, Luk FT, Overton ML. A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix Acm Transactions On Mathematical Software (Toms). 7: 149-169. DOI: 10.1145/355945.355946  0.434
1981 Tang WP, Golub GH. The block decomposition of a vandermonde matrix and its applications Bit. 21: 505-517. DOI: 10.1007/Bf01932847  0.443
1980 Ward RC, Golub GH. Numerical linear algebra Acm Signum Newsletter. 15: 9-26. DOI: 10.1145/1057544.1057545  0.438
1980 Golub GH, van Loan CF. An Analysis of the Total Least Squares Problem Siam Journal On Numerical Analysis. 17: 883-893. DOI: 10.1137/0717073  0.428
1980 Golub G, Klema V, Peters SC. Rules and software for detecting rank degeneracy Journal of Econometrics. 12: 41-48. DOI: 10.1016/0304-4076(80)90051-2  0.335
1980 Golub GH, Plemmons RJ. Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition Linear Algebra and Its Applications. 34: 3-28. DOI: 10.1016/0024-3795(80)90156-1  0.481
1979 Golub GH, Nash S, van Loan C. A Hessenberg—Schur Method for the Problem AX+ XB=C Ieee Transactions On Automatic Control. 24: 909-913. DOI: 10.1109/Tac.1979.1102170  0.428
1979 Golub GH, Heath M, Wahba G. Generalized cross-validation as a method for choosing a good ridge parameter Technometrics. 21: 215-223. DOI: 10.1080/00401706.1979.10489751  0.521
1979 Golub GH, Langlois WE. Direct solution of the equation for the Stokes stream function Computer Methods in Applied Mechanics and Engineering. 19: 391-399. DOI: 10.1016/0045-7825(79)90066-5  0.405
1979 Golub GH, Van Loan C. Unsymmetric positive definite linear systems Linear Algebra and Its Applications. 28: 85-97. DOI: 10.1016/0024-3795(79)90122-8  0.37
1979 Golub GH, Plemmons RJ. Large scale geodetic least-squares adjustment by dissection and orthogonal-decomposition .  0.345
1978 de Boor C, Golub GH. The numerically stable reconstruction of a Jacobi matrix from spectral data Linear Algebra and Its Applications. 21: 245-260. DOI: 10.1016/0024-3795(78)90086-1  0.412
1978 Concus P, Golub GH, O'Leary DP. Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method Computing. 19: 321-339. DOI: 10.1007/Bf02252030  0.397
1977 Golub GH, Klema V, Stewart GW. Rosetak Document 4: Rank Degeneracies and Least Square Problems National Bureau of Economic Research. DOI: 10.3386/W0165  0.441
1977 Björck å, Golub GH. Eigenproblems for Matrices Associated with Periodic Boundary Conditions Siam Review. 19: 5-16. DOI: 10.1137/1019002  0.416
1977 Cottle RW, Golub GH, Sacher RS. On the solution of large, structured linear complementarity problems: The block partitioned case Applied Mathematics &Amp; Optimization. 4: 347-363. DOI: 10.1007/Bf01442149  0.452
1976 Golub GH, Wilkinson JH. ILL-CONDITIONED EIGENSYSTEMS AND THE COMPUTATION OF THE JORDAN CANONICAL FORM Siam Review. 18: 578-619. DOI: 10.1137/1018113  0.399
1976 Concus P, Golub GH. A generalized conjugate gradient method for nonsymmetric systems of linear equations Lecture Notes in Economics and Mathematical Systems. 134: 56-65. DOI: 10.1007/978-3-642-85972-4_4  0.405
1975 Golub GH, Jenning L, Yang WH. Waves in periodically structured media Journal of Computational Physics. 17: 349-357. DOI: 10.1016/0021-9991(75)90039-X  0.398
1974 Golub GH. Bounds for matrix moments Rocky Mountain Journal of Mathematics. 4: 207-211. DOI: 10.1216/Rmj-1974-4-2-207  0.338
1974 Golub GH, Varah JM. On a Characterization of the Best $l_2 $-Scaling of a matrix Siam Journal On Numerical Analysis. 11: 472-479. DOI: 10.1137/0711039  0.352
1974 Fischer D, Golub G, Hald O, Leiva C, Widlund O. On Fourier-Toeplitz methods for separable elliptic problems Mathematics of Computation. 28: 349-368. DOI: 10.1090/S0025-5718-1974-0415995-2  0.406
1974 Gill PE, Golub GH, Murray W, Saunders MA. Methods for modifying matrix factorizations Mathematics of Computation. 28: 505-535. DOI: 10.1090/S0025-5718-1974-0343558-6  0.376
1974 Golub GH, Seneta E. Computation of the stationary distribution of an infinite stochastic matrix of special form Bulletin of the Australian Mathematical Society. 10: 255-261. DOI: 10.1017/S0004972700040867  0.392
1973 Golub GH. Some Modified Matrix Eigenvalue Problems Siam Review. 15: 318-334. DOI: 10.1137/1015032  0.453
1973 Concus P, Golub GH. Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations Siam Journal On Numerical Analysis. 10: 1103-1120. DOI: 10.1137/0710092  0.372
1973 Björck Å, Golub GH. Numerical methods for computing angles between linear subspaces Mathematics of Computation. 27: 579-594. DOI: 10.1090/S0025-5718-1973-0348991-3  0.34
1973 Golub GH, Styan GPH. Numerical Computations for Univariate Linear Models Journal of Statistical Computation and Simulation. 2: 253-274. DOI: 10.1080/00949657308810051  0.365
1973 Golub G, Seneta E. Computation of the stationary distribution of an infinite Markov matrix Bulletin of the Australian Mathematical Society. 8: 333-341. DOI: 10.1017/S0004972700042623  0.379
1972 Dahlquist G, Eisenstat SC, Golub GH. Bounds for the error of linear systems of equations using the theory of moments Journal of Mathematical Analysis and Applications. 37: 151-166. DOI: 10.1016/0022-247X(72)90264-8  0.362
1971 Golub GH, Smith LB. Algorithm 414: Chebyshev Approximation of Continuous Functions by a Chebyshev System of Functions Communications of the Acm. 14: 737-746. DOI: 10.1145/362854.362890  0.38
1971 Buzbee BL, Dorr FW, George JA, Golub GH. The Direct Solution of the Discrete Poisson Equation on Irregular Regions Siam Journal On Numerical Analysis. 8: 722-736. DOI: 10.1137/0708066  0.353
1970 Buzbee BL, Golub GH, Nielson CW. On Direct Methods for Solving Poisson’s Equations Siam Journal On Numerical Analysis. 7: 627-656. DOI: 10.1137/0707049  0.338
1970 Golub GH, Underwood R. Stationary values of the ratio of quadratic forms subject to linear constraints Zeitschrift FüR Angewandte Mathematik Und Physik Zamp. 21: 318-326. DOI: 10.1007/Bf01627939  0.335
1969 Businger PA, Golub GH. Algorithm 358: Singular value decomposition of a complex matrix [F1, 4, 5] Communications of the Acm. 12: 564-565. DOI: 10.1145/363235.363249  0.311
1969 Bartels RH, Golub GH. The simplex method of linear programming using LU decomposition Communications of the Acm. 12: 266-268. DOI: 10.1145/362946.362974  0.366
1968 Golub GH. Least squares, singular values and matrix approximations Applications of Mathematics. 13: 44-51. DOI: 10.21136/Am.1968.103138  0.357
1968 Bartels RH, Golub GH. Numerical Analysis: Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations Communications of the Acm. 11: 401-406. DOI: 10.1145/363347.363364  0.355
1965 Golub G. Numerical methods for solving linear least squares problems Numerische Mathematik. 7: 206-216. DOI: 10.21136/Am.1965.102951  0.437
1965 Golub G, Kahan W. Calculating the Singular Values and Pseudo-Inverse of a Matrix Journal of the Society For Industrial and Applied Mathematics Series B Numerical Analysis. 2: 205-224. DOI: 10.1137/0702016  0.386
1965 Forsythe GE, Golub GH. On the Stationary Values of a Second-Degree Polynomial on the Unit Sphere Journal of the Society For Industrial and Applied Mathematics. 13: 1050-1068. DOI: 10.1137/0113073  0.364
1964 Golub GH, Redish KA. An Introduction to Computational Methods. The American Mathematical Monthly. 71: 1145. DOI: 10.2307/2311436  0.308
1963 Golub GH. On a lower bound for the rank of a partitioned square matrix Mathematics of Computation. 17: 186-188. DOI: 10.1090/S0025-5718-1963-0157981-9  0.37
1962 Golub GH. Bounds for eigenvalues of tridiagonal symmetric matrices computed by the lr method Mathematics of Computation. 16: 438-444. DOI: 10.1090/S0025-5718-1962-0163430-6  0.388
1962 Golub GH. Bounds for the round-off errors in the richardson second order method Bit. 2: 212-223. DOI: 10.1007/Bf01940168  0.32
1961 Golub GH, Varga RS. Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods - Part II Numerische Mathematik. 3: 157-168. DOI: 10.1007/Bf01386014  0.319
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