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Gene H Golub; Chen Greif: Biography; Publications of Gene H. Golub; Major Awards; Students of Gene H. Golub; Iterative Methods for Linear Systems; Anne Greenbaum: Commentary; References; G Golub and R S Varga: Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II; P Concus and G Golub: A generalized conjugate gradient method for non-symmetric systems of linear equations; P Concus, G Golub, D O’Leary: A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations; Z-Z Bai, G Golub, M K Ng: Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems; Solution of Least Squares Problems; Ake Bjorck: Commentary; References; G Golub: Numerical methods for solving linear least squares problems; G Golub and C Reinsch: Singular value decomposition and least squares solutions; G Golub and V Pereyra: The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate; G Golub, M Heath, G Wahba: Generalized cross-validation as a method for choosing a good ridge parameter; G Golub and C Van Loan: An analysis of the total least squares problem; Matrix Factorizations and Applications; Nicholas Higham: Commentary; References; G Golub and W Kahan: Calculating the singular values and pseudo-inverse of a matrix; R Bartels and G Golub: The simplex method of linear programming using LU decomposition; B L Buzbee, G Golub, C W Nielson: On direct methods for solving Poisson’s equation; A Bjorck, G Golub: Numerical methods for computing angles between linear subspaces; P Gill, G Golub, W Murray, M Saunders: Methods for modifying matrix factorizations; Orthogonal Polynomials and Quadrature; Walter Gautschi: Commentary; References; G Golub, J Welsch: Calculation of Gauss quadrature rules; G Golub, G Meurant: Matrices, moments and quadrature; D Calvetti, G Golub, W Gragg, L Reichel: Computation of Gauss-Kronrod quadrature rules; Eigenvalue Problems; G W Stewart: Commentary; References; G Golub: Some modified matrix eigenvalue problems; G Golub, J Wilkinson: Ill-conditioned eigensystems and the computation of the Jordan canonical form; G Golub, R Underwood: The block Lanczos method for computing eigenvalues; C de Boor, G Golub: The numerically stable reconstruction of a Jacobi matrix from spectral data

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