-
1
-
-
0030571227
-
Some large scale matrix computation problems
-
Bai, Z., Fahey, M., and Golub, G. H. (1996), “Some Large Scale Matrix Computation Problems,” Journal of Computational and Applied Mathematics, 74, 71-89.
-
(1996)
Journal of Computational and Applied Mathematics
, vol.74
, pp. 71-89
-
-
Bai, Z.1
Fahey, M.2
Golub, G.H.3
-
3
-
-
0028055457
-
Monte carlo methods for estimating linear combinations of inverse matrix entries in lattice qcd
-
Bemardson, S., McCarty, P., and Thron, C. (1994), “Monte Carlo Methods for Estimating Linear Combinations of Inverse Matrix Entries in Lattice QCD,” Computer Physics Communications, 78, 256-264.
-
(1994)
Computer Physics Communications
, vol.78
, pp. 256-264
-
-
Bemardson, S.1
Mc Carty, P.2
Thron, C.3
-
4
-
-
0010890076
-
-
Technical Report No, Seminar für Angewandte Mathematik, Eidgenössische Technische Hochschule, Zürich, Switzerland
-
Burrage, K., Williams, A., Erhel, J., and Pohl, B. (1994), “The Implementation of a Generalized Cross Validation Algorithm Using Deflation Techniques for Linear Systems,” Technical Report No. 94-05, Seminar für Angewandte Mathematik, Eidgenössische Technische Hochschule, Zürich, Switzerland.
-
(1994)
The Implementation of a Generalized Cross Validation Algorithm Using Deflation Techniques for Linear Systems
-
-
Burrage, K.1
Williams, A.2
Erhel, J.3
Pohl, B.4
-
5
-
-
34250263445
-
Smoothing noisy data with spline functions
-
Craven, P., and Wahba, G. (1979), “Smoothing Noisy Data with Spline Functions,” Numerische Mathematik, 31, 377-403.
-
(1979)
Numerische Mathematik
, vol.31
, pp. 377-403
-
-
Craven, P.1
Wahba, G.2
-
7
-
-
0000565315
-
Algorithms for the regularization of ill-conditioned least squares problems
-
Elddn, L. (1977), “Algorithms for the Regularization of Ill-Conditioned Least Squares Problems,” BIT, 17, 134-145.
-
(1977)
BIT
, vol.17
, pp. 134-145
-
-
Elddn, L.1
-
8
-
-
0002626762
-
A note on the computation of the generalized cross-validation function for ill-conditioned least squares problems
-
Elddn, L. (1984), “A Note on the Computation of the Generalized Cross-Validation Function for Ill-Conditioned Least Squares Problems,” BIT, 24, 467-472.
-
(1984)
BIT
, vol.24
, pp. 467-472
-
-
Elddn, L.1
-
10
-
-
0002882706
-
A fast ‘monte-carlo cross-validation procedure for large least squares problems with noisy data,”
-
Girard, D. A. (1989), “A Fast ‘Monte-Carlo Cross-Validation’ Procedure for Large Least Squares Problems with Noisy Data,” Numerische Mathematik, 56, 1-23.
-
(1989)
Numerische Mathematik
, vol.56
, pp. 1-23
-
-
Girard, D.A.1
-
11
-
-
0001555721
-
Asymptotic optimality of the fast randomized versions of gcv and cl in ridge regression and regularization
-
Girard, D. A. (1991), “Asymptotic Optimality of the Fast Randomized Versions of GCV and Cl in Ridge Regression and Regularization,” The Annals of Statistics, 19, 1950-1963.
-
(1991)
The Annals of Statistics
, vol.19
, pp. 1950-1963
-
-
Girard, D.A.1
-
12
-
-
21844498899
-
The fast monte-carlo cross-validation and cl procedures: Comments, new results and application to image recovery problems
-
Girard, D. A. (1995), “The Fast Monte-Carlo Cross-Validation and Cl Procedures: Comments, New Results and Application to Image Recovery Problems,” Computational Statistics, 10, 205-231.
-
(1995)
Computational Statistics
, vol.10
, pp. 205-231
-
-
Girard, D.A.1
-
13
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
Golub, G. H. (1973), “Some Modified Matrix Eigenvalue Problems,” SIAM Review, 15, 318-334.
-
(1973)
SIAM Review
, vol.15
, pp. 318-334
-
-
Golub, G.H.1
-
14
-
-
32044449925
-
Generalized cross-validation as a method for choosing a good ridge parameter
-
Golub, G. H., Heath, M., and Wahba, G. (1979), “Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter,” Technometrics, 21, 215-223.
-
(1979)
Technometrics
, vol.21
, pp. 215-223
-
-
Golub, G.H.1
Heath, M.2
Wahba, G.3
-
15
-
-
0000288016
-
Calculating the singular values and pseudo-inverse of a matrix
-
Golub, G. H., and Kahan, W. (1965), “Calculating the Singular Values and Pseudo-Inverse of a Matrix,” SIAM Journal on Numerical Analysis, 2, 205-224.
-
(1965)
SIAM Journal on Numerical Analysis
, vol.2
, pp. 205-224
-
-
Golub, G.H.1
Kahan, W.2
-
16
-
-
0004236492
-
-
2nd ed.), Baltimore, MD: The Johns Hopkins University Press
-
Golub, G. H., and Van Loan, C. F. (1989), Matrix Computations (2nd ed.), Baltimore, MD: The Johns Hopkins University Press.
-
(1989)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
17
-
-
0000223746
-
Calculation of gauss quadrature rules
-
Golub, G. H., and Welsch, J. H. (1969), “Calculation of Gauss Quadrature Rules,” Mathematics of Computation, 23, 221-230.
-
(1969)
Mathematics of Computation
, vol.23
, pp. 221-230
-
-
Golub, G.H.1
Welsch, J.H.2
-
18
-
-
0002515748
-
The computation of generalized cross-validation functions through householder tridiagonalization with applications to the fitting of interaction spline models
-
Gu, C., Bates, D. M., Chen, Z., and Wahba, G. (1989), “The Computation of Generalized Cross-Validation Functions Through Householder Tridiagonalization With Applications to the Fitting of Interaction Spline Models,” SIAM Journal on Matrix Analysis and Applications, 10, 457-480.
-
(1989)
SIAM Journal on Matrix Analysis and Applications
, vol.10
, pp. 457-480
-
-
Gu, C.1
Bates, D.M.2
Chen, Z.3
Wahba, G.4
-
19
-
-
13344267706
-
Regularization tools: A matlab package for analysis and solution of discrete ill-posed problems
-
Hansen, P. C. (1994), “Regularization Tools: A Matlab Package for Analysis and Solution of Discrete Ill-Posed Problems,” Numerical Algorithms, 6, 1-35.
-
(1994)
Numerical Algorithms
, vol.6
, pp. 1-35
-
-
Hansen, P.C.1
-
20
-
-
0022730018
-
Algorithm 642: A fast procedure for calculating minimum cross-validation cubic smoothing splines
-
Hutchinson, M. F. (1986), “Algorithm 642: A Fast Procedure for Calculating Minimum Cross-Validation Cubic Smoothing Splines,” ACM Transactions on Mathematical Software, 12, 150-153.
-
(1986)
ACM Transactions on Mathematical Software
, vol.12
, pp. 150-153
-
-
Hutchinson, M.F.1
-
21
-
-
0001264981
-
A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines
-
Hutchinson, M. F. (1990), “A Stochastic Estimator of the Trace of the Influence Matrix for Laplacian Smoothing Splines,” Communications in Statistics, Simulation and Computation, 19, 433-450.
-
(1990)
Communications in Statistics, Simulation and Computation
, vol.19
, pp. 433-450
-
-
Hutchinson, M.F.1
-
22
-
-
0002970891
-
Smoothing noisy data with spline functions
-
Hutchinson, M. F., and de Hoog, F. R. (1985), “Smoothing Noisy Data with Spline Functions,” Numerische Mathematik, 47, 99-106.
-
(1985)
Numerische Mathematik
, vol.47
, pp. 99-106
-
-
Hutchinson, M.F.1
De Hoog, F.R.2
-
23
-
-
0028484417
-
Stable numerical solution of the adsorption integral equation using splines
-
Jagiello, J. (1994), “Stable Numerical Solution of the Adsorption Integral Equation Using Splines,” Langmuir, 10, 2778-2785.
-
(1994)
Langmuir
, vol.10
, pp. 2778-2785
-
-
Jagiello, J.1
-
25
-
-
38249010779
-
Surface approximation by spline smoothing and generalized crossvalidation
-
Lu, H., and Mathis, F. H. (1992), “Surface Approximation by Spline Smoothing and Generalized CrossValidation,” Mathematics and Computers in Simulation, 34, 541-549.
-
(1992)
Mathematics and Computers in Simulation
, vol.34
, pp. 541-549
-
-
Lu, H.1
Mathis, F.H.2
-
27
-
-
0010938520
-
Sensitivity analysis for regularized estimation in some system identification problems
-
O’Sullivan, F. (1991), “Sensitivity Analysis for Regularized Estimation in Some System Identification Problems,” SIAM Journal on Scientific and Statistical Computing, 12, 1266-1283.
-
(1991)
SIAM Journal on Scientific and Statistical Computing
, vol.12
, pp. 1266-1283
-
-
O’sullivan, F.1
-
28
-
-
0000312557
-
On generalized cross validation for tensor smoothing splines
-
Schumaker, L. L., and Utreras, F. I. (1990), “On Generalized Cross Validation for Tensor Smoothing Splines,” SIAM Journal on Scientific and Statistical Computing, 11, 713-731.
-
(1990)
SIAM Journal on Scientific and Statistical Computing
, vol.11
, pp. 713-731
-
-
Schumaker, L.L.1
Utreras, F.I.2
-
29
-
-
34250858086
-
Optimal estimation of contour properties by cross-validated regularization
-
Shahraray, B., and Anderson, D. J. (1989), “Optimal Estimation of Contour Properties by Cross-Validated Regularization,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, 600-610.
-
(1989)
IEEE Transactions on Pattern Analysis and Machine Intelligence
, vol.11
, pp. 600-610
-
-
Shahraray, B.1
Anderson, D.J.2
-
31
-
-
0010886867
-
Determining rank in the presence of error
-
M. S. Moonen, G. H. Golub, and B. L. R. De Moor, NATO ASI Series, Series E: Applied Sciences, Kluwer
-
Stewart, G. W. (1993), “Determining Rank in the Presence of Error,” in Linear Algebra for Large Scale and Real-Time Applications, eds. M. S. Moonen, G. H. Golub, and B. L. R. De Moor, NATO ASI Series, Series E: Applied Sciences, Vol. 232, Kluwer, pp. 275-291.
-
(1993)
Linear Algebra for Large Scale and Real-Time Applications
, vol.232
, pp. 275-291
-
-
Stewart, G.W.1
-
32
-
-
0040594134
-
Quelques recherches sur la théorie des quadratures dites mécaniques
-
Société Mathématique d’Amsterdam
-
Stieltjes, T. J. (1914), “Quelques recherches sur la théorie des quadratures dites mécaniques,” in Oeuvres Complètes de Thomas Jan Stieltjes, (Vol. 1), Société Mathématique d’Amsterdam, pp. 377-394.
-
(1914)
Oeuvres Complètes De Thomas Jan Stieltjes
, vol.1
, pp. 377-394
-
-
Stieltjes, T.J.1
-
35
-
-
0010818229
-
Estimating the suns rotation from solar oscillations by régularisation,”
-
Thompson, A. M. (1992), “Estimating the Sun’s Rotation From Solar Oscillations by Régularisation,” Astronomy and Astrophysics, 265, 289-295.
-
(1992)
Astronomy and Astrophysics
, vol.265
, pp. 289-295
-
-
Thompson, A.M.1
-
36
-
-
0026139576
-
A study of methods of choosing the smoothing parameter in image restoration by regularization
-
Thompson, A. M., Brown, J. C., Kay, J. W., and Titterington, D. M. (1991), “A Study of Methods of Choosing the Smoothing Parameter in Image Restoration by Regularization,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 13, 326-339.
-
(1991)
IEEE Transactions on Pattern Analysis and Machine Intelligence
, vol.13
, pp. 326-339
-
-
Thompson, A.M.1
Brown, J.C.2
Kay, J.W.3
Titterington, D.M.4
-
37
-
-
34250254672
-
Sur le choix du paramètre dajustement dans le lissage par fonctions spline,”
-
Utreras, F. I. (1980), “Sur le choix du paramètre d’ajustement dans le lissage par fonctions spline,” Numerische Mathematik, 34, 15-28.
-
(1980)
Numerische Mathematik
, vol.34
, pp. 15-28
-
-
Utreras, F.I.1
-
39
-
-
0000855234
-
Pitfalls in the numerical solution of linear ill-posed problems
-
Varah, J. M. (1983), “Pitfalls in the Numerical Solution of Linear Ill-Posed Problems,” SIAM Journal on Scientific and Statistical Computing, 4, 164-176.
-
(1983)
SIAM Journal on Scientific and Statistical Computing
, vol.4
, pp. 164-176
-
-
Varah, J.M.1
-
41
-
-
0000450226
-
Improper priors, spline smoothing and the problem of guarding against model errors in regression
-
Wahba, G. (1978), “Improper Priors, Spline Smoothing and the Problem of Guarding Against Model Errors in Regression,” Journal of the Royal Statistical Society, Ser. B, 40, 364-372.
-
(1978)
Journal of the Royal Statistical Society
, vol.40
, pp. 364-372
-
-
Wahba, G.1
-
42
-
-
0005173689
-
Spline bases, regularization, and generalized cross validation for solving approximation problems with large quantities of noisy data
-
E. W. Cheney, New York: Academic Press
-
Wahba, G. (1980), “Spline Bases, Regularization, and Generalized Cross Validation for Solving Approximation Problems With Large Quantities of Noisy Data,” in Approximation Theory III, ed. E. W. Cheney, New York: Academic Press, pp. 905-912.
-
(1980)
Approximation Theory III
, pp. 905-912
-
-
Wahba, G.1
-
43
-
-
0003466536
-
Spline models for observational data
-
Philadelphia, PA: SIAM
-
Wahba, G. (1990), “Spline Models for Observational Data,” CBMS-NSF, Regional Conference Series in Applied Mathematics (Vol. 59), Philadelphia, PA: SIAM.
-
(1990)
CBMS-NSF, Regional Conference Series in Applied Mathematics
, pp. 59
-
-
Wahba, G.1
-
44
-
-
0001759261
-
Adaptive tuning of numerical weather prediction models: Randomized gcv in three- and four-dimensional data assimilation
-
also available by anonymous ftp from ftp.stat.wisc.edu in pub/wahba
-
Wahba, G., Johnson, D. R., Gao, F., and Gong, J. (1995), “Adaptive Tuning of Numerical Weather Prediction Models: Randomized GCV in Three- and Four-Dimensional Data Assimilation,” Monthly Weather Review, 123, 3358-3369 (also available by anonymous ftp from ftp.stat.wisc.edu in pub/wahba).
-
(1995)
Monthly Weather Review
, vol.123
, pp. 3358-3369
-
-
Wahba, G.1
Johnson, D.R.2
Gao, F.3
Gong, J.4
-
45
-
-
0000681041
-
Some new mathematical methods for variational objective analysis using splines and cross validation
-
Wahba, G., and Wendelberger, J. (1980), “Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross Validation,” Monthly Weather Review, 108, 1122-1143.
-
(1980)
Monthly Weather Review
, vol.108
, pp. 1122-1143
-
-
Wahba, G.1
Wendelberger, J.2
|