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1

Calculation of Gauss quadrature rules

Golub, Gene H., Welsch, John H.

Journal:

Mathematics of Computation

Year:

1969

Language:

english

File:

PDF, 853 KB

english, 1969

2

Numerical solution of saddle point problems

Benzi, Michele, Golub, Gene H., Liesen, Jörg

Journal:

Year:

2005

Language:

english

File:

PDF, 1.05 MB

english, 2005

3

Calculation of Gauss Quadrature Rules

Gene H. Golub and John H. Welsch

Journal:

Mathematics of Computation

Year:

1969

Language:

english

File:

PDF, 1.44 MB

english, 1969

4

Some Modified Matrix Eigenvalue Problems

Journal:

Year:

1973

Language:

english

File:

PDF, 1.09 MB

english, 1973

5

An Analysis of the Total Least Squares Problem

Golub, Gene H., van Loan, Charles F.

Journal:

SIAM Journal on Numerical Analysis

Year:

1980

Language:

english

File:

PDF, 929 KB

english, 1980

6

Tikhonov Regularization and Total Least Squares

Golub, Gene H., Hansen, Per Christian, O'Leary, Dianne P.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 291 KB

english, 1999

7

Symmetric Tensors and Symmetric Tensor Rank

Comon, Pierre, Golub, Gene, Lim, Lek-Heng, Mourrain, Bernard

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 304 KB

english, 2008

8

Quadratically constrained least squares and quadratic problems

Gene H. Golub, Urs von Matt

Journal:

Numerische Mathematik

Year:

1991

Language:

english

File:

PDF, 701 KB

english, 1991

9

Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter

Golub, Gene H., Heath, Michael, Wahba, Grace

Journal:

Year:

1979

Language:

english

File:

PDF, 785 KB

english, 1979

10

Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems

Elman, Howard C., Golub, Gene H.

Journal:

SIAM Journal on Numerical Analysis

Year:

1994

Language:

english

File:

PDF, 1.74 MB

english, 1994

11

Iterative solution of linear systems

Freund, Roland W., Golub, Gene H., Nachtigal, Noël M.

Journal:

Year:

1992

Language:

english

File:

PDF, 2.81 MB

english, 1992

12

Algorithms for Computing the Sample Variance: Analysis and Recommendations

Chan, Tony F., Golub, Gene H., Leveque, Randall J.

Journal:

The American Statistician

Year:

1983

Language:

english

File:

PDF, 574 KB

english, 1983

13

Some large-scale matrix computation problems

Zhaojun Bai, Gark Fahey, Gene Golub

Journal:

Journal of Computational and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 991 KB

english, 1996

14

Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5]

Businger, Peter A., Golub, Gene H.

Journal:

Communications of the ACM

Year:

1969

Language:

english

File:

PDF, 656 KB

english, 1969

15

An Analysis of the Total Least Squares Problem

Gene H. Golub and Charles F. Van Loan

Journal:

SIAM Journal on Numerical Analysis

Year:

1980

Language:

english

File:

PDF, 831 KB

english, 1980

16

A constrained eigenvalue problem

Walter Gander, Gene H. Golub, Urs von Matt

Journal:

Linear Algebra and its Applications

Year:

1989

Language:

english

File:

PDF, 919 KB

english, 1989

17

Eigenvalue computation in the 20th century

Gene H. Golub, Henk A. van der Vorst

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 181 KB

english, 2000

18

Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods

Gene H. Golub, Richard S. Varga

Journal:

Numerische Mathematik

Year:

1961

Language:

english

File:

PDF, 501 KB

english, 1961

19

Linear least squares solutions by householder transformations

Peter Businger, Gene H. Golub

Journal:

Numerische Mathematik

Year:

1965

Language:

english

File:

PDF, 311 KB

english, 1965

20

Least-squares fitting of circles and ellipses

Walter Gander, Gene H. Golub, Rolf Strebel

Journal:

BIT Numerical Mathematics

Year:

1994

Language:

english

File:

PDF, 1.01 MB

english, 1994

21

On the convergence of line iterative methods for cyclically reduced non-symmetrizable linear systems

Howard C. Elman, Gene H. Golub, Gerhard Starke

Journal:

Numerische Mathematik

Year:

1994

Language:

english

File:

PDF, 150 KB

english, 1994

22

A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

Chan, Tony F., Golub, Gene H., Mulet, Pep

Journal:

SIAM Journal on Scientific Computing

Year:

1999

Language:

english

File:

PDF, 357 KB

english, 1999

23

The Restricted Singular Value Decomposition: Properties and Applications

De Moor, Bart L. R., Golub, Gene H.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1991

Language:

english

File:

PDF, 2.65 MB

english, 1991

24

Part 1 || Some Modified Matrix Eigenvalue Problems

Journal:

Year:

1973

Language:

english

File:

PDF, 845 KB

english, 1973

25

Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems

Bai, Zhong-Zhi, Golub, Gene H., Lu, Lin-Zhang, Yin, Jun-Feng

Journal:

SIAM Journal on Scientific Computing

Year:

2005

Language:

english

File:

PDF, 374 KB

english, 2005

26

The simplex method of linear programming using LU decomposition

Bartels, Richard H., Golub, Gene H.

Journal:

Communications of the ACM

Year:

1969

Language:

english

File:

PDF, 397 KB

english, 1969

27

Algorithm 350: simplex method procedure employing Lu decomposition [H]

Bartels, Richard H., Golub, Gene H.

Journal:

Communications of the ACM

Year:

1969

Language:

english

File:

PDF, 760 KB

english, 1969

28

On a Lower Bound for the Rank of a Partitioned Square Matrix

Journal:

Mathematics of Computation

Year:

1963

Language:

english

File:

PDF, 291 KB

english, 1963

29

Object-oriented parallel algorithms for computing three-dimensional isopycnal flow

Paul Concus, Gene H. Golub, Yong Sun

Journal:

International Journal for Numerical Methods in Fluids

Year:

2002

Language:

english

File:

PDF, 195 KB

english, 2002

30

On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations

Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng

Journal:

Numerical Linear Algebra with Applications

Year:

2007

Language:

english

File:

PDF, 164 KB

english, 2007

31

Bounds for the error of linear systems of equations using the theory of moments

Germund Dahlquist, Stanley C Eisenstat, Gene H Golub

Journal:

Journal of Mathematical Analysis and Applications

Year:

1972

Language:

english

File:

PDF, 538 KB

english, 1972

32

Adaptive methods for the computation of PageRank

Sepandar Kamvar, Taher Haveliwala, Gene Golub

Journal:

Linear Algebra and its Applications

Year:

2004

Language:

english

File:

PDF, 316 KB

english, 2004

33

Continuous methods for extreme and interior eigenvalue problems

Gene H. Golub, Li-Zhi Liao

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 218 KB

english, 2006

34

On inexact hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems

Zhong-Zhi Bai, Gene H. Golub, Michael K. Ng

Journal:

Linear Algebra and its Applications

Year:

2008

Language:

english

File:

PDF, 295 KB

english, 2008

35

Large sparse symmetric eigenvalue problems with homogeneous linear constraints: the Lanczos process with inner–outer iterations

Gene H. Golub, Zhenyue Zhang, Hongyuan

Journal:

Linear Algebra and its Applications

Year:

2000

Language:

english

File:

PDF, 200 KB

english, 2000

36

Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods

Gene H. Golub, Richard S. Varga

Journal:

Numerische Mathematik

Year:

1961

Language:

english

File:

PDF, 543 KB

english, 1961

37

The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems

Gene H. Golub, Michael L. Overton

Journal:

Numerische Mathematik

Year:

1988

Language:

english

File:

PDF, 987 KB

english, 1988

38

Convergence of a two-stage Richardson process for nonlinear equations

Gene H. Golub, R. Kannan

Journal:

BIT Numerical Mathematics

Year:

1986

Language:

english

File:

PDF, 277 KB

english, 1986

39

Jacobi matrices for sums of weight functions

Sylvan Elhay, Gene H. Golub, Jaroslav Kautsky

Journal:

BIT Numerical Mathematics

Year:

1992

Language:

english

File:

PDF, 1.27 MB

english, 1992

40

A multishift QR iteration without computation of the shifts

Augustin A. Dubrulle, Gene H. Golub

Journal:

Numerical Algorithms

Year:

1994

Language:

english

File:

PDF, 486 KB

english, 1994

41

Estimating the largest singular values of large sparse matrices via modified moments

Michael Berry, Gene Golub

Journal:

Numerical Algorithms

Year:

1991

Language:

english

File:

PDF, 968 KB

english, 1991

42

Estimates in quadratic formulas

Gene H. Golub, Zdeněk Strakoš

Journal:

Numerical Algorithms

Year:

1994

Language:

english

File:

PDF, 1.25 MB

english, 1994

43

Approximating dominant singular triplets of large sparse matrices via modified moments

Sowmini Varadhan, Michael W. Berry, Gene H. Golub

Journal:

Numerical Algorithms

Year:

1996

Language:

english

File:

PDF, 1.49 MB

english, 1996

44

Adaptive Lanczos methods for recursive condition estimation

William R. Ferng, Gene H. Golub, Robert J. Plemmons

Journal:

Numerical Algorithms

Year:

1991

Language:

english

File:

PDF, 842 KB

english, 1991

45

Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights

Daniel L. Boley, Sylvan Elhay, Gene H. Golub, Martin H. Gutknecht

Journal:

Numerical Algorithms

Year:

1991

Language:

english

File:

PDF, 1.23 MB

english, 1991

46

Symmetric-triangular decomposition and its applications part II: Preconditioners for indefinite systems

Xiaonan Wu, Gene H. Golub, José A. Cuminato, Jin Yun Yuan

Journal:

BIT Numerical Mathematics

Year:

2008

Language:

english

File:

PDF, 604 KB

english, 2008

47

Imposing curvature restrictions on flexible functional forms

A.Ronald Gallant, Gene H. Golub

Journal:

Journal of Econometrics

Year:

1984

Language:

english

File:

PDF, 1.59 MB

english, 1984

48

Symmetric-Triangular Decomposition and its Applications Part I: Theorems and Algorithms

Gene H. Golub, Jin-Yun Yuan

Journal:

BIT Numerical Mathematics

Year:

2002

Language:

english

File:

PDF, 130 KB

english, 2002

49

Bounds for the Entries of Matrix Functions with Applications to Preconditioning

Michele Benzi, Gene H. Golub

Journal:

BIT Numerical Mathematics

Year:

1999

Language:

english

File:

PDF, 288 KB

english, 1999

50

Bounds for the round-off errors in the richardson second order method

Journal:

BIT Numerical Mathematics

Year:

1962

Language:

english

File:

PDF, 570 KB

english, 1962