Selected Papers by Gene H. Golub

  1. G. H. Golub and R. S. Varga, Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Numer. Math. 3:147-168, 1961.

  2. P. Concus, G. H. Golub, and D. P. O'Leary, A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations, MAA Studies in Mathematics 24:178-198, 1984.

  3. Z.-Z. Bai, G. H. Golub, and M. K. Ng, Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, SIAM J. Matrix Anal. Appl. 24:603-626, 2003.

  4. G. H. Golub, Numerical methods for solving linear least squares problems, Numer. Math. 7:206-216, 1965.

  5. G. H. Golub and C. Reinsch, Singular value decomposition and least squares solutions, Numer. Math. 14:403-420, 1970.

  6. G. H. Golub and V. Pereyra, The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate, SIAM J. Numer. Anal. 10:413-432, 1973.

  7. G. H. Golub, M. T. Heath, G. Wahba, Generalized cross-validation as a method for choosing a good ridge parameter, Technometrics 21(2):215-223, 1979.

  8. G. H. Golub and C. F. Van Loan, An analysis of the total least squares problem, SIAM J. Numer. Anal. 17:883-893, 1980.

  9. G. H. Golub and W. Kahan, Calculating the singular values and pseudo-inverse of a matrix, SIAM J. Numer. Anal. 2(B):205-224, 1965.

  10. R. H. Bartels and G. H. Golub, The simplex method of linear programming using LU decomposition, Comm. ACM 12(5):266-268, 1969.

  11. B. L. Buzbee, G. H. Golub, C. W. Nielson, On direct methods for solving Poisson's equation, SIAM J. Numer. Anal. 7:627-656, 1970.

  12. A. Bjorck, G. H. Golub, Numerical methods for computing angles between linear subspaces, Math. Comp. 27:579-594, 1973.

  13. P. E. Gill, G. H. Golub, W. Murray, M. A. Saunders, Methods for modifying matrix factorizations, Math. Comp. 28:505-535, 1974.

  14. G. H. Golub, J. H. Welsch, Calculation of Gauss quadrature rules, Math. Comp. 23:221-230, 1969.

  15. G. H. Golub, G. Meurant, Matrices, moments and quadrature, Proc. 15th Dundee Conf., D. F. Griffiths and G. A. Watson, editors, Longman, pp. 1-52,1994.

  16. D. Calvetti, G. H. Golub, W. B. Gragg, L. Reichel, Computation of Gauss-Kronrod quadrature rules, Math. Comp. 69(231):1035-1052, 2000.

  17. G. H. Golub, Some modified matrix eigenvalue problems, SIAM Review 15:318-335, 1973.

  18. G. H. Golub, J. H. Wilkinson, Ill-conditioned eigensystems and the computation of the Jordan canonical form, SIAM Review 18:578-619, 1976.

  19. G. H. Golub, R. R. Underwood, The block Lanczos method for computing eigenvalues, Proc. Symp. Math. Software, U. Wisconsin, Madison, pp. 361-377, 1977.

  20. C. de Boor, G. H. Golub, The numerically stable reconstruction of a Jacobi matrix from spectral data, Linear Algebra Appl. 21:245-260, 1978.