Gene H. Golub | Academic Influence

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Gene H. Golub

Computer Science

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#356

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Numerical Analysis

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Gene H. Golub

Mathematics

#506

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#984

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#230

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Measure Theory

#29

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#53

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#17

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mathematics Degrees

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Gene H. Golub's Degrees

Bachelors Mathematics City College of New York

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According to Wikipedia, Gene Howard Golub , was an American numerical analyst who taught at Stanford University as Fletcher Jones Professor of Computer Science and held a courtesy appointment in electrical engineering. Personal life Born in Chicago, he was educated at the University of Illinois at Urbana-Champaign, receiving his B.S. , M.A. and Ph.D. all in mathematics. His M.A. degree was more specifically in Mathematical Statistics. His PhD dissertation was entitled "The Use of Chebyshev Matrix Polynomials in the Iterative Solution of Linear Equations Compared to the Method of Successive Overrelaxation" and his thesis adviser was Abraham Taub. Gene Golub succumbed to acute myeloid leukemia on the morning of 16 November 2007 at the Stanford Hospital.

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Gene H. Golub's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Matrix computations (1983) (24880)
Matrix computations (3rd ed.) (1996) (8321)
Generalized cross-validation as a method for choosing a good ridge parameter (1979) (2936)
Singular value decomposition and least squares solutions (1970) (2246)
Numerical solution of saddle point problems (2005) (2228)
Calculating the singular values and pseudo-inverse of a matrix (2007) (1362)
An analysis of the total least squares problem (1980) (1229)
Calculation of Gauss quadrature rules (1967) (1167)
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems (2002) (975)
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration (1999) (947)
Least-squares fitting of circles and ellipses (1994) (917)
The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate (1972) (864)
Tikhonov Regularization and Total Least Squares (1999) (837)
A Hessenberg-Schur method for the problem AX + XB= C (1979) (785)
Separable nonlinear least squares: the variable projection method and its applications (2003) (697)
Matrix Computations, Third Edition (1996) (655)
Numerical methods for computing angles between linear subspaces (1971) (647)
Symmetric Tensors and Symmetric Tensor Rank (2008) (568)
A Note on Preconditioning for Indefinite Linear Systems (1999) (550)
Tracking a few extreme singular values and vectors in signal processing (1990) (525)
Inexact and preconditioned Uzawa algorithms for saddle point problems (1994) (519)
Extrapolation methods for accelerating PageRank computations (2003) (508)
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems (2004) (502)
Some modified matrix eigenvalue problems (1973) (501)
Missing value estimation for DNA microarray gene expression data: local least squares imputation (2005) (489)
Iterative solution of linear systems (1991) (474)
Linear least squares solutions by householder transformations (1965) (460)
A computationally efficient superresolution image reconstruction algorithm (2001) (445)
Rank-One Approximation to High Order Tensors (2001) (436)
A Preconditioner for Generalized Saddle Point Problems (2004) (432)
Exploiting the Block Structure of the Web for Computing (2003) (412)
Gmres: a Generalized Minimum Residual Algorithm for Solving (385)
Block Preconditioning for the Conjugate Gradient Method (1985) (383)
Eigenvalue computation in the 20th century (2000) (379)
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems (2007) (377)
Numerical methods for solving linear least squares problems (1965) (335)
Adaptive methods for the computation of PageRank (2004) (327)
Scientific computing: an introduction with parallel computing (1993) (324)
Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems (2005) (320)
The direct solution of the discrete Poisson equation on irregular regions (1970) (306)
Algorithms for Computing the Sample Variance: Analysis and Recommendations (1983) (304)
Matrices, Moments and Quadrature with Applications (2009) (301)
Inverse Eigenvalue Problems: Theory, Algorithms, and Applications (2005) (289)
On direct methods for solving Poisson's equation (1970) (282)
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods (1961) (278)
SOR-like Methods for Augmented Systems (2001) (266)
Structured inverse eigenvalue problems (2002) (265)
The simplex method of linear programming using LU decomposition (1969) (263)
Methods for modifying matrix factorizations (1972) (261)
Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement (2001) (251)
Optimal Surface Smoothing as Filter Design (1996) (245)
Some History of the Conjugate Gradient and Lanczos Algorithms: 1948-1976 (1989) (234)
A survey of matrix inverse eigenvalue problems (1986) (234)
Quadratically constrained least squares and quadratic problems (1991) (226)
Generalized cross-validation for large scale problems (1997) (223)
Some large-scale matrix computation problems (1996) (222)
Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration (1999) (217)
Regularization by Truncated Total Least Squares (1997) (214)
Rank degeneracy and least squares problems (1976) (213)
Imposing curvature restrictions on flexible functional forms (1984) (212)
A generalization of the Eckart-Young-Mirsky matrix approximation theorem (1987) (201)
A Constrained Eigenvalue Problem (1989) (198)
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices (2007) (197)
Updating formulae and a pairwise algorithm for computing sample variances (1979) (197)
Scientific Computing and Differential Equations: An Introduction to Numerical Methods (1991) (194)
Periodic Schur decomposition: algorithms and applications (1992) (188)
Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. (1972) (186)
On successive‐overrelaxation acceleration of the Hermitian and skew‐Hermitian splitting iterations (2007) (183)
Third International Symposium on Domain Decomposition Methods for Partial Differential Equations (1990) (183)
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices (2006) (182)
Parameter Estimation in the Presence of Bounded Data Uncertainties (1998) (176)
The block Lanczos method for computing eigenvalues (2007) (173)
Matrices, moments, and quadrature (2007) (170)
A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies (2007) (166)
A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix (1981) (164)
Adaptively Preconditioned GMRES Algorithms (1998) (164)
On Solving Block-Structured Indefinite Linear Systems (2003) (161)
A Stable Numerical Method for Inverting Shape from Moments (1999) (159)
Estimation of the L-Curve via Lanczos Bidiagonalization (1999) (135)
Bounds for the Entries of Matrix Functions with Applications to Preconditioning (1999) (131)
An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems (2002) (128)
An Arnoldi-type algorithm for computing page rank (2006) (126)
On the Stationary Values of a Second-Degree Polynomial on the Unit Sphere (1965) (123)
Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5] (1969) (123)
Ill-conditioned eigensystems and the computation of the Jordan canonical form (1975) (122)
MATRIX DECOMPOSITIONS AND STATISTICAL CALCULATIONS (1969) (122)
Computation of Gauss-Kronrod quadrature rules (2000) (121)
The canonical correlations of matrix pairs and their numerical computation (1992) (120)
A Rank-One Reduction Formula and Its Applications to Matrix Factorizations (1995) (113)
Shape from moments - an estimation theory perspective (2004) (112)
Matrices, moments and quadrature II; How to compute the norm of the error in iterative methods (1997) (112)
A bibliography on semiseparable matrices* (2005) (112)
Regularized Total Least Squares Based on Quadratic Eigenvalue Problem Solvers (2004) (112)
Optimization of the Hermitian and Skew-Hermitian Splitting Iteration for Saddle-Point Problems (2003) (111)
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems (1988) (108)
On Domain Decomposition Methods (1988) (107)
An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations (1998) (106)
Note on the iterative refinement of least squares solution (1966) (105)
Large scale geodetic least squares adjustment by dissection and orthogonal decomposition (1979) (105)
The restricted singular value decomposition: properties and applications (1991) (100)
A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations (2007) (99)
Using the QR factorization and group inversion to compute, differentiate ,and estimate the sensitivity of stationary probabilities for markov chains (1986) (98)
The numerically stable reconstruction of a Jacobi matrix from spectral data (1977) (97)
ITERATIVE METHODS FOR CYCLICALLY REDUCED NON-SELF-ADJOINT LINEAR SYSTEMS (1990) (96)
Least squares, singular values and matrix approximations (1968) (94)
Linear algebra for large scale and real-time applications (1993) (90)
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation (2005) (88)
Numerical Methods for Solving Least Squares Problems. (1982) (86)
The Generalized Eigenvalue Problem for Nonsquare Pencils Using a Minimal Perturbation Approach (2005) (85)
Inexact Inverse Iteration for Generalized Eigenvalue Problems (2000) (84)
Integrative analysis of genome-scale data by using pseudoinverse projection predicts novel correlation between DNA replication and RNA transcription. (2004) (83)
On Fourier-Toeplitz methods for separable elliptic problems (1974) (82)
Recent Advances in Numerical Analysis. (1982) (82)
Fitting of circles and ellipses: Least squares solution (1994) (80)
Calculation of Gauss quadratures with multiple free and fixed knots (1983) (80)
Estimates in quadratic formulas (1994) (80)
On the spectral decomposition of Hermitian matrices modified by low rank perturbations (1988) (75)
Numerical techniques in mathematical programming (1970) (74)
Fitting of circles and ellipses least squares solution (1995) (72)
Bounds for the error of linear systems of equations using the theory of moments (1972) (70)
Computing PageRank using Power Extrapolation (2003) (70)
On the calculation of Jacobi Matrices (1983) (68)
On the solution of large, structured linear complementarity problems: The block partitioned case (1977) (67)
Good Ridge Parameter (1979) (66)
Perturbation analysis of the canonical correlations of matrix pairs (1994) (65)
Studies in numerical analysis (1984) (63)
Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms (1991) (63)
A generalized conjugate gradient method for non-symmetric systems of linear equations (2007) (62)
The Lanczos-Arnoldi algorithm and controllability (1984) (61)
Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations. (2005) (61)
Updating and downdating of orthogonal polynomials with data fitting applications (1991) (59)
The use of pre-conditioning over irregular regions (1983) (58)
150 years old and still alive: eigenproblems (1997) (58)
Numerical computations for univariate linear models (1973) (58)
Large sparse symmetric eigenvalue problems with homogeneous linear constraints: the Lanczos process with inner–outer iterations (2000) (57)
Inverse eigenvalue problems for band matrices (1978) (57)
Solution of biharmonic equations with application to radar imaging (1998) (55)
The block decomposition of a vandermonde matrix and its applications (1981) (54)
Scaling by Binormalization (2004) (53)
Cyclic Reduction - History and Applications (1997) (53)
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods (1961) (53)
Singular value decomposition of genome-scale mRNA lengths distribution reveals asymmetry in RNA gel electrophoresis band broadening (2006) (52)
On the preconditioning of matrices with skew-symmetric splittings (2004) (50)
Variable projection for near-optimal filtering in low bit-rate block coders (2005) (49)
Linear least squares and quadratic programming (1969) (49)
A Fast Two-Stage Algorithm for Computing PageRank (2003) (48)
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems (1992) (47)
A Class of Nonsymmetric Preconditioners for Saddle Point Problems (2005) (47)
Unsymmetric positive definite linear systems (1979) (47)
Some modified eigenvalue problems (1971) (47)
Fast algorithms for updating signal subspaces (1994) (45)
Iterative refinements of linear least squares solutions by Householder transformations (1968) (45)
On the numerical condition of a generalized Hankel eigenvalue problem (2007) (44)
A Nonlinear primal dual method for TV-based image restoration (1996) (43)
Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations (1988) (41)
Numerical algorithms for image superresolution (2000) (41)
Computing the SVD of a General Matrix Product/Quotient (2000) (41)
Generalized singular value decompositions: a proposal for a standardized nomenclature (1989) (40)
Bounds for the error in linear systems (1979) (39)
Estimates of Eigenvalues for Iterative Methods (1989) (38)
Richardson''s non-stationary matrix iterative procedure. (1972) (38)
Netlib and NA-Net: Building a Scientific Computing Community (2008) (37)
Shape reconstruction from moments: theory, algorithms, and applications (2000) (36)
Stationary values of the ratio of quadratic forms subject to linear constraints (1969) (36)
An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems (2005) (36)
On the solution of large, structured linear complementarity problems: III. (1974) (35)
Symmetric-triangular decomposition and its applications part II: Preconditioners for indefinite systems (2008) (35)
Scientific computing (1993) (35)
Applications and Computation of Orthogonal Polynomials (1999) (34)
Algorithmic Fault Tolerance Using the Lanczos Method (1992) (34)
The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments (2009) (34)
Parameter estimation in the presence of bounded modeling errors (1997) (34)
Bounds for matrix moments (1974) (33)
Modified moments for indefinite weight functions (1990) (33)
A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier-Stokes Equations (1998) (33)
How to generate unknown orthogonal polynomials out of known orthogonal polynomials (1992) (32)
Closer to the solutions: iterative linear solvers (1997) (32)
An Efficient Algorithm for a Bounded Errors-in-Variables Model (1999) (31)
Eigenproblems for matrices associated with periodic boundary conditions. (1975) (30)
Generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. [Solution of sparse, symmetric, positive-definite systems of linear equations arising from discretization of boundary-value problems for elliptic partial differential equations] (1976) (30)
A modified method for reconstructing periodic Jacobi matrices (1984) (30)
Solving Ellipsoid-Constrained Integer Least Squares Problems (2009) (29)
An adaptive Chebyshev iterative method\newline for nonsymmetric linear systems based on modified moments (1994) (29)
On a Generalized Eigenvalue Problem for Nonsquare Pencils (2006) (29)
Floating Point Fault Tolerance with Backward Error Assertions (1995) (29)
Numerical Analysis: Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations (1968) (29)
COMPARISON OF THE VARIANCE OF MINIMUM VARIANCE AND WEIGHTED LEAST SQUARES REGRESSION COEFFICIENTS (1963) (28)
On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems (1998) (27)
A Subspace Approximation Method for the Quadratic Eigenvalue Problem (2005) (27)
Total least squares (1979) (27)
On generating polynomials which are orthogonal over several intervals (1989) (27)
Parallel block schemes for large-scale least-squares computations (1988) (26)
Solving linear equations by extrapolation (1990) (25)
Semi-Conjugate Direction Methods for Real Positive Definite Systems (2004) (25)
How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case (2005) (25)
Foundations of numerical multilinear algebra: decomposition and approximation of tensors (2007) (25)
Recent advances in iterative methods (1994) (25)
Inner and Outer Iterations for the Chebyshev Algorithm (1998) (25)
On Some Eigenvector-Eigenvalue Relations (1999) (24)
Iterative Methods in Scientific Computing (1997) (24)
A Non-Overlapping Optimized Schwarz Method which Converges with Arbitrarily Weak Dependence on h (2003) (24)
Continuous methods for extreme and interior eigenvalue problems (2006) (24)
On a Variational Formulation of the Generalized Singular Value Decomposition (1997) (23)
A Two-Stage Algorithm for Computing PageRank and Multistage Generalizations (2007) (22)
Chapter 1 – The World of Scientific Computing (1993) (22)
On the Error Computation for Polynomial Based Iteration Methods (1994) (22)
CALCULATION OF NORMAL MODES OF OCEANS USING A LANCZOS METHOD (1976) (22)
On a Characterization of the Best $l_2 $-Scaling of a matrix (1974) (21)
Matrix shapes invariant under the symmetric QR algorithm (1995) (21)
Optimal framework for low bit-rate block coders (2003) (21)
Differentiation of Pseudoinverses, Separable Nonlinear Least Square Problems and Other Tales (1976) (21)
Simultaneous registration and activation detection for fMRI (2003) (20)
A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides (2007) (20)
Krylov subspace methods for variable-coefficient initial-boundary value problems (2003) (20)
A comparison between some direct and iterative methods for certian large scale godetic least squares problems (1986) (20)
The Lanczos algorithm for the symmetric Ax = $\lambda$Bx problem. (1972) (20)
QR-Like Algorithms for Symmetric Arrow Matrices (1992) (19)
Genericity And Rank Deficiency Of High Order Symmetric Tensors (2006) (19)
Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation (2007) (19)
Blind restoration/superresolution with generalized cross-validation using Gauss-type quadrature rules (1999) (19)
Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II (2007) (19)
Jacobi matrices for sums of weight functions (1992) (18)
Multidimensional Integral Inversion, with Applications in Shape Reconstruction (2005) (18)
4 Experimental Results (18)
Bounds for the round-off errors in the richardson second order method (1962) (17)
The Use of Chebyshev Matrix Polynomials in The Iterative Solution of Linear Equations Compared to The Method of Successive Overrelaxation (1959) (17)
Symmetric-Triangular Decomposition and its Applications Part I: Theorems and Algorithms (2002) (17)
Waves in periodically structured media (1975) (17)
A generalized Bairstow algorithm (1967) (17)
Imputation of missing values in DNA microarray gene expression data (2004) (17)
Computation of the stationary distribution of an infinite stochastic matrix of special form (1974) (17)
Rosetak Document 4: Rank Degeneracies and Least Square Problems (1977) (17)
Algorithm 350: simplex method procedure employing Lu decomposition [H] (1969) (16)
Computing Partial Eigenvalue Sum in Electronic Structure Calculations (1998) (16)
Computation of the stationary distribution of an infinite Markov matrix (1973) (16)
NOVEL GENOME-SCALE CORRELATION BETWEEN DNA REPLICATION AND RNA TRANSCRIPTION DURING THE CELL CYCLE IN YEAST IS PREDICTED BY DATA-DRIVEN MODELS (2004) (15)
A parallel balance scheme for banded linear systems (2001) (15)
Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method (1976) (15)
A Lanczos‐based method for structural dynamic reanalysis problems (1994) (15)
Adaptive Lanczos methods for recursive condition estimation (1990) (14)
Recent advances in Lanczos-based iterative methods for nonsymmetric linear systems (1992) (13)
Nonorthogonal Analysis of Variance Using a Generalized Conjugate-Gradient Algorithm (1982) (13)
Eigenvalue perturbation and generalized Krylov subspace method (1998) (13)
Toward an effective two-parameter SOR method (1990) (13)
Efficient algorithms for least squares type problems with bounded uncertainties (1997) (12)
Blind Superresolution with Generalized Cross-Validation using Gauss-Type Quadrature Rules (1999) (12)
Three results on the PageRank vector: eigenstructure, sensitivity, and the derivative (2007) (12)
A local regularization method using multiple regularization levels (2007) (12)
Inexact Inverse Iterations for the Generalized Eigenvalue Problems (1999) (12)
Continuous methods for symmetric generalized eigenvalue problems (2008) (12)
A multishift QR iteration without computation of the shifts (1994) (11)
Algorithm 328: Chebyshev solution to an overdetermined linear system (1968) (11)
Some observations on local least squares (2006) (11)
Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators (1995) (11)
Diagonal Dominance and Positive Definiteness of Upwind Approximations for Advection Diffusion Problems (1996) (11)
Worst-case parameter estimation with bounded model uncertainties (1997) (11)
Acta Numerica 2002: Structured inverse eigenvalue problems (2002) (10)
Subspace iterative methods for eigenvalue problems (1999) (10)
Corrigendum: Block Preconditioning for the Conjugate Gradient Method (1985) (10)
Convergence of a two-stage Richardson process for nonlinear equations (1986) (10)
SYMMETRIC-TRIANGULAR DECOMPOSITION AND ITS APPLICATIONS (2002) (9)
Direct block tridiagonalizat ion of single-input single-output systems (1992) (9)
A robust numerical approach for array calibration (1993) (9)
Direct solution of the equation for the Stokes stream function (1979) (9)
Solution of large, structured linear complementarity problems. III. Technical report 74-7 (1974) (9)
The method of odd/even reduction and factorization with application to Poisson''s equation, part II (1969) (8)
Rank Modifications of Semidefinite Matrices Associated with a Secant Update Formula (1998) (8)
Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights (1991) (8)
Matrix Computation and the Theory of Moments (1995) (7)
A Resampling Method for Computer Vision (2000) (7)
Direct methods for solving elliptic difference equations (1971) (7)
Cyclic reduction/multigrid (1992) (7)
On the convergence of line iterative methods for cyclically reduced non-symmetrizable linear systems (1992) (6)
LEAST SQUARES, SINGULAR VALUES AND MATRIX APPROXIMATIONS. AN ALGOL PROCEDURE FOR COMPUTING THE SINGULAR VALUE DECOMPOSITION. (1967) (6)
Computation of large-scale quadratic forms and transfer functions using the theory of moments, quadrature and Padé approximation (2002) (6)
TOPICAL REVIEW: Separable nonlinear least squares: the variable projection method and its applicatio (2003) (6)
Matrix inverse eigenvalue problem for periodic Jacobi matrices (1978) (6)
Gaussian Quadrature Applied to Adaptive Chebyshev Iteration (1994) (6)
Bounds for Eigenvalues of Tridiagonal Symmetric Matrices Computed by the LR Method (1962) (5)
The spectrum of a modified linear pencil (2003) (5)
Block Orderings for Tensor-Product Grids in Two and Three Dimensions (2002) (5)
Rules and software for detecting rank degeneracy (1980) (5)
Block iterative methods for cyclically reduced non-self-adjoint elliptic problems (1990) (5)
On the need for a system optimization laboratory (1972) (4)
Discussion: Linear Smoothers and Additive Models (1989) (4)
Parallel and Vector Computing (1993) (4)
Computing the singular values of products and quotients of matrices (1995) (4)
Computational considerations regarding the calculation of Chebyshev solutions for overdetermined linear eqauation systems by the exchange method (1967) (4)
A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem (2009) (4)
Maximizing a second-degree polynomial on the unit sphere (1965) (4)
Preconditioners for regularized image superresolution (1999) (4)
NA-92-05 M AY 1992 Adaptive Chebyshev Iterative Methods for Nonsymmetric Linear Systems Based on Modified Moments (1999) (3)
A Fast Solver for Incompressible Navier-stokes Equations with Finite Difference Methods (1998) (3)
Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
Numerical Linear Algebra in Signal Processing Applications (2007) (3)
Towards A Backward Perturbation Analysis For Data Least Squares Problems (2008) (3)
A new approach for solving symmetric eigenvalue problems (1992) (3)
Approximating dominant singular triplets of large sparse matrices via modified moments (1996) (3)
A computable error bound for matrix functionals (1999) (3)
Computation of the limited information maximum likelihood estimator. (1973) (3)
The World of Scientific Computing (1991) (3)
Some Unusual Matrix Eigenvalue (1999) (3)
Least-squares adjustment of large-scale geodetic networks by orthogonal decomposition (1981) (3)
BOUNDS FOR THE ENTRIES OF MATRIXFUNCTIONS WITH APPLICATIONS TOPRECONDITIONING (1999) (3)
Backward error assertions for checking solutions to systems of linear equations (1989) (3)
Best-fit parameter estimation for a bounded errors-in-variables model (1997) (3)
Some Unusual Eigenvalue Problems (1998) (3)
Multi-Level Approach to Numerical Solution of Inverse Problems (2006) (3)
881 OPTIMIZATION OF THE HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION FOR SADDLE-POINT PROBLEMS ∗ Dedicated to (2003) (3)
Numerical Analysis (1978) (3)
A Stochastic Approach to Error Estimates for Iterative Linear Solvers: Part 1 (2001) (3)
Proceedings of the Workshop on Scientific Computing : Hong Kong 10-12 March, 1997 (1997) (3)
A qr-like svd algorithm for a product/quotient of several matrices (1995) (2)
Missing Value Estimation for DNA Microarray Expression Data : Least Squares Imputation (2004) (2)
Bounds for the Trace of the Inverse and the Determinantof Symmetric Positive De nite (1996) (2)
DECOMPOSITIONS OF QUATERNIONS AND THEIR MATRIX EQUIVALENTS (2008) (2)
Solution of P-matrix Linear Complementarity Problems Using a Potential Reduction Algorithm. Siam an Implementation of Karmarkar's Algorithm for Linear Programming. Mathematical Programming, 44:297{335, 1989. 2] F. Alizadeh. Optimization over Positive Semi-deenite Cone: Interior-point Methods and Com (1996) (2)
Dedication to Vera N. Kublanovskaya on her 70th Birthday (1990) (2)
Eecient Solution of the Jacobian System in Newton's Method Close to a Root (1997) (2)
Applications and computation of orthogonal polynomials : conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-28, 1998 (1999) (2)
2 Do Two Distributions Have the Same Means or Variances ? (2)
Rank Modifications of Semi-definite Matrices with Applications to Secant Updates (1996) (2)
Estimating the largest singular values of large sparse matrices via modified moments (1991) (2)
Workshop on Algorithms for Modern Massive Datasets (2006) (2)
A Generalization of the Eckart-Young-Mirsky (1987) (2)
Approximation of the scattering amplitude (2007) (1)
PARAMETER ESTIMATION IN THE PRESENCE OF BOUNDEDDATA (1998) (1)
Generalized conjugate gradient method for nonsymmetric systems of linear equations. [Solution of systems of linear equations such as arise in solution of elliptic partial differential equations] (1976) (1)
Overcoming activation-induced registration errors in fMRI (2003) (1)
On Fourier-Toeplitz Methods for Separable (1974) (1)
The Simplex Method of Programming Using LU Decomposition Linear (1969) (1)
On a lower bound for the rank of a partitioned square matrix (1963) (1)
Simultaneous Computation of Stationary Probabilities With Estimates of Their Sensitivity (1999) (1)
Object‐oriented parallel algorithms for computing three‐dimensional isopycnal flow (2002) (1)
From Numerical Analysis to Computational Science (2001) (1)
1. g Iterative solution of linear systems in the 20th century, Pages 1-33 (2003) (1)
Major Awards (2007) (1)
An iteration for indefinite and non-symmetric systems and its application to the Navier-Stokes equations (1996) (1)
Adaptive Chebyshev Iteration Based on Modified Moments (1993) (1)
Some unusual eigenvalue problems : Invited talk (1999) (1)
Some Large Scale Matrix Computation (2007) (1)
Chapter 8 – Iterative Methods (1993) (1)
Simultaneous Computation of Stationary Probabilities With Estimates of Their Sensitivity (1999) (1)
Blind restoration and superresolution using generalized cross-validation with Gauss quadrature rules (2000) (1)
Report of the NATO advanced study institute: August 1988 (1989) (1)
Stochastic Error Estimates For Iterative Linear Solvers Part 2 (1)
NUMERICAL ANALYSIS WITH EMPHASIS ON LEAST SQUARES PROBLEMS. Progress Report, June 1, 1970--June 1, 1971. (1972) (0)
Semi-Conjugate Direction Methods for Nonsymmetric Systems (2007) (0)
Continuous Problems Solved Discretely (1993) (0)
A small note on the scaling of symmetric positive definite semiseparable matrices (2006) (0)
Chapter 15. Discrete Ill-Posed Problems (2009) (0)
Chapter 13. Least Squares Problems (2009) (0)
The Curse of Dimensionality (1991) (0)
Tails of Condition Number Distributions (2005) (0)
Chapter 6. Gauss Quadrature (2009) (0)
Recent advances in numerical analysis : proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, May 22-24, 1978 (1978) (0)
Gene Howard Golub , 1932 – 2007 (2008) (0)
Test Number of Wirelength Gain Problem Elements Test Number of Channel Width Gain Problem Elements Cij C 2 (0)
Chapter 9. Solving Secular Equations (2009) (0)
Chapter 10. Examples of Gauss Quadrature Rules (2009) (0)
Signal Structure Methods for Robust Interference Reduction in Airborne Antenna Arrays. (1997) (0)
Conjugate Gradient-Type Methods (1993) (0)
SUPERLINEAR CONVERGENCE OF A PRECONDITIONED ITERATIVE METHOD FOR THE CONVECTION-DIFFUSION (2004) (0)
PageRank using Power Extrapolation (2003) (0)
Letting It Fly: Initial Value Problems (1991) (0)
Solving large-scale sparse eigenvalue problems and linear systems of equations for accelerator modeling (2009) (0)
Automatic Segmentation of Speech (1991) (0)
Obituary to Peter Henrici (13. September 1923–13. March 1987) (1987) (0)
EditionOn the convergence of line iterative methodsfor cyclically reduced non-symmetrizable linearsystemsHoward (1994) (0)
Students of Gene H. Golub (2007) (0)
Chapter 5. Computation of the Jacobi Matrices (2009) (0)
Chapter 11. Bounds and Estimates for Elements of Functions of Matrices (2009) (0)
A near-optimal filtering scheme for low bit-rate block coders using variable projection (2003) (0)
Chapter 2 – Linear Algebra (1993) (0)
Singular Value Decompositions: Generalizations, Algorithms, and Applications. (1994) (0)
Is There More Than Finite Differences (1991) (0)
BLOCK PRECONDITIONING FOR THE CONJUGATE GRADIENT METHOD. APPENDIX (1982) (0)
Eigenvalue Perturbation and Generalized Krylov Subspace (1998) (0)
LEAST SQUARES INVERSE EIGENVALUE PROBLEMS (2005) (0)
A Tabulation Strategy The generation of the mesh consists of different steps : • Calculation of neighbouring cells – procedure (0)
Chapter 4 – Polynomial Approximation (1993) (0)
Chapter 7. Bounds for Bilinear Forms uTƒ(A)v (2009) (0)
On the Ax equals Lambda Bx problem (2008) (0)
Life Is Really Nonlinear (1991) (0)
Chapter 14. Total Least Squares (2009) (0)
A new approach for solving perturbed symmetric eigenvalue problems (1992) (0)
Chapter 2. Orthogonal Polynomials (2009) (0)
Modified Eigenvalue Problems with Applications to Structural Dynamic Re-Analysis on Parallel Computers. (1994) (0)
A fast Poisson solver for unsteady incompressible Navier-Stokes equations on the half-staggered grid (1995) (0)
Shape from moments as an inverse problem (2002) (0)
Workshop on Future Direction in Numerical Algorithms and Optimization (2008) (0)
Numerical methods for solving linear least squares problems (by G. Golub); An Algol procedure for finding linear least squares solutions (by Peter Businger) (1964) (0)
Matrix methods in mathematical programming (1971) (0)
Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm (2009) (0)
PARTIALLY DESCRIBED INVERSE EIGENVALUE PROBLEMS (2005) (0)
Bibliography of the Book Matrix Computations (1999) (0)
FOR THE CONJUGATE GRADIENT METHOD (1985) (0)
Space and Time (1991) (0)
Direct Solution of Linear Equations (1993) (0)
SPECTRALLY CONSTRAINED APPROXIMATION (2005) (0)
Pinning It Down: Boundary Value Problems (1991) (0)
Inverting a multidimensional shape from moments (2004) (0)
JACOBI M ATRICES F OR S UMS O F W EIGHT F UNCTIONS (1992) (0)
References (2000) (0)
Chapter 3. Properties of Tridiagonal Matrices (2009) (0)
Introduction (1992) (0)
GROUP ORBITALLY CONSTRAINED APPROXIMATION (2005) (0)
Su326 P30-20 Richardson's Non-stationary Matrix Iterative Procedure Richardson's Non-stationary Matrix Iterative Procedure (1998) (0)
Cme 302: Numerical Linear Algebra Fall 2005/06 Lecture 7 (2005) (0)
In memory of Gene Golub (2008) (0)
Numerical linear algebra (1980) (0)
Coordinating Editor and Applications Editor (1978) (0)
More on Linear Systems of Equations (1991) (0)
Matrix Algorithms in Signal Processing (1990) (0)
Computational Equipment for the Development of Numerical Algorithms Computation (1990) (0)
Approximation mit Polynomen (1996) (0)
New Results - Algebraic Geometric Analysis (2008) (0)
Publications of Gene H. Golub (2007) (0)
Workshop on Advances in Scientific Computation and Differential Equations '93 (SCADE) (1994) (0)
N Important Numbers (1991) (0)
Simultaneous Registration and Activation Detection (2003) (0)
NUMERICAL METHODS FOR SOLVING LINEAR LEAST SQUARES PROBLEM. AN ALGOL PROCEDURE FOR FINDING LINEAR LEAST SQUARES SOLUTIONS (1964) (0)
Oral history interview with Gene H. Golub (1979) (0)
Chapter 8. Extensions to Nonsymmetric Matrices (2009) (0)
Laudation for the Johann Bernoulli lecture 1995-1996 "Aspects of Scientific Computing (1996) (0)
Some advances in multiframe resolution enhancement (2001) (0)
On solving the definite tridiagonal symmetric generalized eigenvalue problem (2007) (0)
Parallel Direct Methods (1993) (0)
PARAMETERIZED INVERSE EIGENVALUE PROBLEMS (2005) (0)
A General Class of Sliding Surface for Sliding Mode Control (1998) (0)
Chapter 4. The Lanczos and Conjugate Gradient Algorithms (2009) (0)

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