-
1
-
-
0009924116
-
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices
-
The Heritage of P. L. Chebyshev: A Festschrift in Honor of the 70th Birthday of T. J. Rivlin, C. A. Micchelli, ed.
-
Z. BAI AND G. H. GOLUB, Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices, in The Heritage of P. L. Chebyshev: A Festschrift in Honor of the 70th Birthday of T. J. Rivlin, C. A. Micchelli, ed., Annals Numer. Math., 4 (1997), pp. 29-38.
-
(1997)
Annals Numer. Math.
, vol.4
, pp. 29-38
-
-
Bai, Z.1
Golub, G.H.2
-
2
-
-
0030571227
-
Some large-scale matrix computation problems
-
Z. BAI, M. FAHEY, AND G. GOLUB, Some large-scale matrix computation problems, J. Comput. Appl. Math., 74 (1996), pp. 71-89.
-
(1996)
J. Comput. Appl. Math.
, vol.74
, pp. 71-89
-
-
Bai, Z.1
Fahey, M.2
Golub, G.3
-
3
-
-
0043044851
-
Bounds for the entries of matrix functions with applications to preconditioning
-
M. BENZI AND G. H. GOLUB, Bounds for the entries of matrix functions with applications to preconditioning, BIT, 39 (1999), pp. 417-438.
-
(1999)
BIT
, vol.39
, pp. 417-438
-
-
Benzi, M.1
Golub, G.H.2
-
4
-
-
0040901903
-
Estimating the largest singular values of large sparse matrices via modified moments
-
M. BERRY AND G. GOLUB, Estimating the largest singular values of large sparse matrices via modified moments, Numer. Algorithms, 1 (1991), pp. 353-374.
-
(1991)
Numer. Algorithms
, vol.1
, pp. 353-374
-
-
Berry, M.1
Golub, G.2
-
5
-
-
21344496401
-
An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments
-
D. CALVETTI, G. H. GOLUB, AND L. REICHEL, An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments, Numer. Math., 67 (1994), pp. 21-40.
-
(1994)
Numer. Math.
, vol.67
, pp. 21-40
-
-
Calvetti, D.1
Golub, G.H.2
Reichel, L.3
-
6
-
-
0033098565
-
A computable error bound for matrix functionals
-
D. CALVETTI, G. H. GOLUB, AND L. REICHEL, A computable error bound for matrix functionals, J. Comput. Appl. Math., 103 (1999), pp. 301-306.
-
(1999)
J. Comput. Appl. Math.
, vol.103
, pp. 301-306
-
-
Calvetti, D.1
Golub, G.H.2
Reichel, L.3
-
7
-
-
0000924088
-
Estimation of the L-curve via Lanczos bidiagonalization
-
D. CALVETTI, G. H. GOLUB, AND L. REICHEL, Estimation of the L-curve via Lanczos bidiagonalization, BIT, 39 (1999), pp. 603-619.
-
(1999)
BIT
, vol.39
, pp. 603-619
-
-
Calvetti, D.1
Golub, G.H.2
Reichel, L.3
-
8
-
-
0034423846
-
Computation of Gauss-Kronrod quadrature rules
-
D. CALVETTI, G. H. GOLUB, W. B. GRAGG, AND L. REICHEL, Computation of Gauss-Kronrod quadrature rules, Math. Comp., 69 (2000), 1035-1052.
-
(2000)
Math. Comp.
, vol.69
, pp. 1035-1052
-
-
Calvetti, D.1
Golub, G.H.2
Gragg, W.B.3
Reichel, L.4
-
9
-
-
0035151353
-
An iterative method with error estimators
-
Numerical Analysis 2000, Quadrature and Orthogonal Polynomials, W. Gautschi, F. Marcellán, and L. Reichel, eds.
-
D. CALVETTI, S. MORIGI, L. REICHEL, AND F. SGALLARI, An iterative method with error estimators, in Numerical Analysis 2000, Vol. 5, Quadrature and Orthogonal Polynomials, W. Gautschi, F. Marcellán, and L. Reichel, eds., J. Comput. Appl. Math., 127 (2001), pp. 93-119.
-
(2001)
J. Comput. Appl. Math.
, vol.5-127
, pp. 93-119
-
-
Calvetti, D.1
Morigi, S.2
Reichel, L.3
Sgallari, F.4
-
10
-
-
0003712558
-
Bounds for the error of linear systems of equations using the theory of moments
-
G. DAHLQUIST, S. C. EISENSTAT AND G. H. GOLUB, Bounds for the error of linear systems of equations using the theory of moments, J. Math. Anal. Appl., 37 (1972), pp. 151-166.
-
(1972)
J. Math. Anal. Appl.
, vol.37
, pp. 151-166
-
-
Dahlquist, G.1
Eisenstat, S.C.2
Golub, G.H.3
-
11
-
-
0041590254
-
Bounds for the error in linear systems
-
Semi-Infinite Programming (Proc. Workshop, Bad Honnef, 1978), R. Hettich, ed., Springer-Verlag, Berlin
-
G. DAHLQUIST, G. H. GOLUB, AND S. G. NASH, Bounds for the error in linear systems, in Semi-Infinite Programming (Proc. Workshop, Bad Honnef, 1978), R. Hettich, ed., Lecture Notes in Control and Information Sci., Vol. 15, Springer-Verlag, Berlin, 1979, pp. 154-172.
-
(1979)
Lecture Notes in Control and Information Sci.
, vol.15
, pp. 154-172
-
-
Dahlquist, G.1
Golub, G.H.2
Nash, S.G.3
-
12
-
-
0000149521
-
Updating and downdating of orthogonal polynomials with data fitting applications
-
S. ELHAY, G. H. GOLUB, AND J. KAUTSKY, Updating and downdating of orthogonal polynomials with data fitting applications, SIAM J. Matrix Anal. Appl., 12 (1991), pp. 327-353.
-
(1991)
SIAM J. Matrix Anal. Appl.
, vol.12
, pp. 327-353
-
-
Elhay, S.1
Golub, G.H.2
Kautsky, J.3
-
13
-
-
0038860753
-
Jacobi matrices for sums of weight functions
-
S. ELHAY, G. H. GOLUB, AND J. KAUTSKY, Jacobi matrices for sums of weight functions, BIT, 32 (1992), pp. 143-166.
-
(1992)
BIT
, vol.32
, pp. 143-166
-
-
Elhay, S.1
Golub, G.H.2
Kautsky, J.3
-
14
-
-
84966259408
-
On generating polynomials which are orthogonal over several intervals
-
B. FISCHER AND G. H. GOLUB, On generating polynomials which are orthogonal over several intervals, Math. Comp., 56 (1991), pp. 711-730.
-
(1991)
Math. Comp.
, vol.56
, pp. 711-730
-
-
Fischer, B.1
Golub, G.H.2
-
15
-
-
0006327956
-
How to generate unknown orthogonal polynomials out of known orthogonal polynomials
-
B. FISCHER AND G. H. GOLUB, How to generate unknown orthogonal polynomials out of known orthogonal polynomials, J. Comput. Appl. Math., 43 (1992), pp. 99-115.
-
(1992)
J. Comput. Appl. Math.
, vol.43
, pp. 99-115
-
-
Fischer, B.1
Golub, G.H.2
-
16
-
-
84968490637
-
An implementation of Christoffel's theorem in the theory of orthogonal polynomials
-
D. GALANT, An implementation of Christoffel's theorem in the theory of orthogonal polynomials, Math. Comp., 25 (1971), pp. 111-113.
-
(1971)
Math. Comp.
, vol.25
, pp. 111-113
-
-
Galant, D.1
-
17
-
-
0037823843
-
Adaptive quadrature -revisited
-
W. GANDER AND W. GAUTSCHI, Adaptive quadrature -revisited, BIT, 40 (2000), pp. 84-101.
-
(2000)
BIT
, vol.40
, pp. 84-101
-
-
Gander, W.1
Gautschi, W.2
-
18
-
-
0345779164
-
-
AMS Chelsea Publishing, Providence, RI, [Translated from the Russian by K. A. Hirsch. Reprint of the 1959 translation.]
-
F. R. GANTMACHER, The theory of matrices, Vol. 1, AMS Chelsea Publishing, Providence, RI, 1998. [Translated from the Russian by K. A. Hirsch. Reprint of the 1959 translation.]
-
(1998)
The Theory of Matrices
, vol.1
-
-
Gantmacher, F.R.1
-
19
-
-
0002308241
-
-
E. B. Christoffel (Aachen/Monschau, 1979), P L. Butzer and F. Fehér, eds., Birkhäuser, Basel
-
W. GAUTSCHI, A survey of Gauss-Christoffel quadrature formulae, in E. B. Christoffel (Aachen/Monschau, 1979), P L. Butzer and F. Fehér, eds., Birkhäuser, Basel, 1981, pp. 72-147.
-
(1981)
A Survey of Gauss-Christoffel Quadrature Formulae
, pp. 72-147
-
-
Gautschi, W.1
-
20
-
-
0001849258
-
An algorithmic implementation of the generalized Christoffel theorem
-
Numerical Integration, G. Hämmerlin, ed., Birkhäuser, Basel
-
W. GAUTSCHI, An algorithmic implementation of the generalized Christoffel theorem, in Numerical Integration, G. Hämmerlin, ed., Internat. Ser. Numer. Math., Vol. 57, 1982, Birkhäuser, Basel, pp. 89-106.
-
(1982)
Internat. Ser. Numer. Math.
, vol.57
, pp. 89-106
-
-
Gautschi, W.1
-
21
-
-
0001505159
-
Ongenerating orthogonal polynomials
-
W. GAUTSCHI, Ongenerating orthogonal polynomials, SIAM J. Sci. Statist. Comput., 3 (1982), pp. 289-317.
-
(1982)
SIAM J. Sci. Statist. Comput.
, vol.3
, pp. 289-317
-
-
Gautschi, W.1
-
22
-
-
0031270469
-
s-orthogonality and construction of Gauss-Túran-type quadrature formulae
-
W. GAUTSCHI AND G. V. MILOVANOVIĆ, s-orthogonality and construction of Gauss-Túran-type quadrature formulae, J. Comput. Appl. Math., 86 (1997), pp. 205-218.
-
(1997)
J. Comput. Appl. Math.
, vol.86
, pp. 205-218
-
-
Gautschi, W.1
Milovanović, G.V.2
-
23
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
G. H. GOLUB, Some modified matrix eigenvalue problems, SIAM Rev., 15 (1973), pp. 318-334.
-
(1973)
SIAM Rev.
, vol.15
, pp. 318-334
-
-
Golub, G.H.1
-
24
-
-
0041935774
-
Bounds for matrix moments
-
G. H. GOLUB, Bounds for matrix moments, Rocky Mountain J. Math., 4 (1974), pp. 207-211.
-
(1974)
Rocky Mountain J. Math.
, vol.4
, pp. 207-211
-
-
Golub, G.H.1
-
25
-
-
2942621702
-
Matrix computation and the theory of moments
-
(Zürich, 1994), S. D. Chatterji, ed., Birkhäuser, Basel
-
G. H. GOLUB, Matrix computation and the theory of moments, in Proceedings of the International Congress of Mathematicians (Zürich, 1994), S. D. Chatterji, ed., Vol. 2, Birkhäuser, Basel, 1995, pp. 1440-1448.
-
(1995)
Proceedings of the International Congress of Mathematicians
, vol.2
, pp. 1440-1448
-
-
Golub, G.H.1
-
27
-
-
0042675294
-
Modified moments for indefinite weight functions
-
G. H. GOLUB AND M. H. GUTKNECHT, Modified moments for indefinite weight functions, Numer. Math., 57 (1990), pp. 607-624.
-
(1990)
Numer. Math.
, vol.57
, pp. 607-624
-
-
Golub, G.H.1
Gutknecht, M.H.2
-
28
-
-
0001494898
-
Calculation of Gauss quadratures with multiple free and fixed knots
-
G. H. GOLUB AND J. KAUTSKY, Calculation of Gauss quadratures with multiple free and fixed knots, Numer. Math., 41 (1983), pp. 147-163.
-
(1983)
Numer. Math.
, vol.41
, pp. 147-163
-
-
Golub, G.H.1
Kautsky, J.2
-
29
-
-
84968500647
-
Estimates of eigenvalues for iterative methods
-
G. H. GOLUB AND M. D. KENT, Estimates of eigenvalues for iterative methods, Math. Comp., 53 (1989), pp. 619-626.
-
(1989)
Math. Comp.
, vol.53
, pp. 619-626
-
-
Golub, G.H.1
Kent, M.D.2
-
30
-
-
0001678475
-
Quadratically constrained least squares and quadratic problems
-
G. H. GOLUB AND U. VON MATT, Quadratically constrained least squares and quadratic problems, Numer. Math., 59 (1991), pp. 561-580.
-
(1991)
Numer. Math.
, vol.59
, pp. 561-580
-
-
Golub, G.H.1
Von Matt, U.2
-
31
-
-
0003093333
-
Matrices, moments and quadrature
-
Numerical Analysis 1993 (Dundee, 1993), Longman Sci. Tech., Harlow
-
G. H. GOLUB AND G. MEURANT, Matrices, moments and quadrature, in Numerical Analysis 1993 (Dundee, 1993), Pitman Res. Notes Math. Ser., Vol. 303, Longman Sci. Tech., Harlow, 1994.
-
(1994)
Pitman Res. Notes Math. Ser.
, vol.303
-
-
Golub, G.H.1
Meurant, G.2
-
32
-
-
0000391978
-
Matrices, moments and quadrature. II. How to compute the norm of the error in iterative methods
-
G. H. GOLUB AND G. MEURANT, Matrices, moments and quadrature. II. How to compute the norm of the error in iterative methods, BIT, 37 (1994), pp. 687-705.
-
(1994)
BIT
, vol.37
, pp. 687-705
-
-
Golub, G.H.1
Meurant, G.2
-
33
-
-
0000918880
-
Estimates in quadratic formulas
-
G. H. GOLUB AND Z. STRAKOŠ, Estimates in quadratic formulas, Numer. Algorithms, 8 (1994), pp. 241-268.
-
(1994)
Numer. Algorithms
, vol.8
, pp. 241-268
-
-
Golub, G.H.1
Strakoš, Z.2
-
34
-
-
0000223746
-
Calculation of Gauss quadrature rules
-
G. H. GOLUB AND J. H. WELSCH, Calculation of Gauss quadrature rules, Math. Comp., 23 (1969), pp. 221-230.
-
(1969)
Math. Comp.
, vol.23
, pp. 221-230
-
-
Golub, G.H.1
Welsch, J.H.2
-
35
-
-
53949095744
-
-
Addendum
-
[Addendum: loose microfiche suppl. A1-A10.]
-
Loose Microfiche
, Issue.SUPPL.
-
-
-
36
-
-
0000072192
-
Error bounds in equilibrium statistical mechanics
-
R. G. GORDON, Error bounds in equilibrium statistical mechanics, J. Mathematical Phys., 9 (1968), pp. 655-663.
-
(1968)
J. Mathematical Phys.
, vol.9
, pp. 655-663
-
-
Gordon, R.G.1
-
37
-
-
0001190030
-
The numerically stable reconstruction of Jacobi matrices from spectral data
-
W. B. GRAGG AND W. J. HARROD, The numerically stable reconstruction of Jacobi matrices from spectral data, Numer. Math., 44 (1994), pp. 317-335.
-
(1994)
Numer. Math.
, vol.44
, pp. 317-335
-
-
Gragg, W.B.1
Harrod, W.J.2
-
38
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
M. R. HESTENES AND E. STIEFEL, Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards, 49 (1952), pp. 409-436.
-
(1952)
J. Research Nat. Bur. Standards
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.2
-
39
-
-
0001300342
-
Calculation of the weights of interpolatory quadratures
-
J. KAUTSKY AND S. ELHAY, Calculation of the weights of interpolatory quadratures, Numer. Math., 40 (1982), pp. 407-422.
-
(1982)
Numer. Math.
, vol.40
, pp. 407-422
-
-
Kautsky, J.1
Elhay, S.2
-
40
-
-
0039546363
-
On the calculation of Jacobi matrices
-
J. KAUTSKY AND G. H. GOLUB, On the calculation of Jacobi matrices, Linear Algebra Appl., 52/53 (1983), pp. 439-455.
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 439-455
-
-
Kautsky, J.1
Golub, G.H.2
-
42
-
-
0031520388
-
Calculation of Gauss-Kronrod quadrature rules
-
D. P. LAURIE, Calculation of Gauss-Kronrod quadrature rules, Math. Comp., 66 (1997), pp. 1133-1145.
-
(1997)
Math. Comp.
, vol.66
, pp. 1133-1145
-
-
Laurie, D.P.1
-
43
-
-
0003674259
-
Classical Orthogonal Polynomials of a Discrete Variable
-
Springer-Verlag, Berlin, [Translated from the Russian.]
-
A. F. NIKIFOROV, S. K. SUSLOV, AND V. B. UVAROV, Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational Physics, Springer-Verlag, Berlin, 1991. [Translated from the Russian.]
-
(1991)
Springer Series in Computational Physics
-
-
Nikiforov, A.F.1
Suslov, S.K.2
Uvarov, V.B.3
-
44
-
-
0003358142
-
The Symmetric Eigenvalue Problem
-
SIAM, Philadelphia, PA, [Corrected reprint of the 1980 original.]
-
B. N. PARLETT, The Symmetric Eigenvalue Problem, Classics in Applied Mathematics, Vol. 20, SIAM, Philadelphia, PA, 1998. [Corrected reprint of the 1980 original.]
-
(1998)
Classics in Applied Mathematics
, vol.20
-
-
Parlett, B.N.1
-
45
-
-
0003326330
-
Subroutine Package for Automatic Integration
-
Springer-Verlag, Berlin
-
R. PIESSENS, E. DE DONCKER-KAPENGA, C. W. ÜBERBUBER, AND D. K. KAHANER, QUADPACK. A Subroutine Package for Automatic Integration, Springer Series in Computational Mathematics, Vol. 1, Springer-Verlag, Berlin, 1983.
-
(1983)
Springer Series in Computational Mathematics
, vol.1
-
-
Piessens, R.1
De Doncker-Kapenga, E.2
Überbuber, C.W.3
Kahaner, D.K.4
Quadpack, A.5
-
46
-
-
0002115888
-
Kernel polynomials in linear algebra and their numerical applications
-
Further Contributions to the Solution of Simultaneous Linear Equations and the Determination of Eigenvalues, U.S. Government Printing Office, Washington, DC
-
E. L. STIEFEL, Kernel polynomials in linear algebra and their numerical applications, in Further Contributions to the Solution of Simultaneous Linear Equations and the Determination of Eigenvalues, Nat. Bur. Standards Appl. Math. Ser., Vol. 49, U.S. Government Printing Office, Washington, DC, 1958, pp. 1-22.
-
(1958)
Nat. Bur. Standards Appl. Math. Ser.
, vol.49
, pp. 1-22
-
-
Stiefel, E.L.1
-
47
-
-
0003960161
-
-
John Wiley, New York, [Reprinted in 1978 by Dover Publications, New York.]
-
H. S. WILF, Mathematics for the Physical Sciences, John Wiley, New York, 1962. [Reprinted in 1978 by Dover Publications, New York.]
-
(1962)
Mathematics for the Physical Sciences
-
-
Wilf, H.S.1
-
48
-
-
53949122556
-
-
Personal communication
-
H. S. WILF, Personal communication, 1980.
-
(1980)
-
-
Wilf, H.S.1
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