-
1
-
-
0003283056
-
Handbook of mathematical functions
-
EDS., U.S. Government Printing Office, Washington, D.C.
-
ABRAMOWITZ, M., AND STEGUN, I. A., EDS. 1964. Handbook of mathematical functions. NBS Appl. Math. Ser. 55, U.S. Government Printing Office, Washington, D.C.
-
(1964)
NBS Appl. Math. Ser. 55
-
-
ABRAMOWITZ, M.1
STEGUN, I.A.2
-
2
-
-
0000964853
-
A survey of matrix inverse eigenvalue problems
-
BOLEY, D., AND GOLUB, G. H. 1987. A survey of matrix inverse eigenvalue problems. Inverse Problems 3, 4, 595-622.
-
(1987)
Inverse Problems
, vol.3
, Issue.4
, pp. 595-622
-
-
BOLEY, D.1
GOLUB, G.H.2
-
3
-
-
0001937414
-
Sur l'interpolation par la méthode des moindres carrés
-
1-24. (Oeuvres I, pp. 473-498.)
-
CHEBYSHEV, P. L. 1859. Sur l'interpolation par la méthode des moindres carrés. Mém. Acad. Impér. Sci. St. Pétersbourg (7) 1, 15, 1-24. (Oeuvres I, pp. 473-498.)
-
(1859)
Mém. Acad. Impér. Sci. St. Pétersbourg
, vol.1
, Issue.7
, pp. 15
-
-
CHEBYSHEV, P.L.1
-
4
-
-
0004165067
-
An Introduction to Orthogonal Polynomials
-
Gordon and Breach, New York.
-
CHIHARA, T. S. 1978. An Introduction to Orthogonal Polynomials. Gordon and Breach, New York.
-
(1978)
-
-
CHIHARA, T.S.1
-
5
-
-
0000235008
-
Orthogonal polynomials and measures with end point masses
-
CHIHARA, T. S. 1985. Orthogonal polynomials and measures with end point masses. Rocky Mountain J. Math. 15, 3, 705-719.
-
(1985)
Rocky Mountain J. Math.
, vol.15
, Issue.3
, pp. 705-719
-
-
CHIHARA, T.S.1
-
6
-
-
84943473262
-
Über die Gau βische Quadratur und eine Verallgemeinerung derselben
-
(Ges. Math. Abhandlungen I, pp. 65-87.)
-
CHRISTOFFEL, E. B. 1858. Über die Gau βische Quadratur und eine Verallgemeinerung derselben. J. Reme Angew. Math 55, 61-82. (Ges. Math. Abhandlungen I, pp. 65-87.)
-
(1858)
J. Reme Angew. Math
, vol.55
, pp. 61-82
-
-
CHRISTOFFEL, E.B.1
-
7
-
-
0008518813
-
Sur une classe particulière de fonctions entières et de fractions continues
-
(Ges. Math. Abhandlungen II, pp. 42-50.)
-
CHRISTOFFEL, E. B. 1877. Sur une classe particulière de fonctions entières et de fractions continues. Ann. Mat. Pura Appl. Ser. 2, vol. 8, 1-10. (Ges. Math. Abhandlungen II, pp. 42-50.)
-
(1877)
Ann. Mat. Pura Appl. Ser.
, vol.2
, Issue.8
, pp. 1-10
-
-
CHRISTOFFEL, E.B.1
-
8
-
-
84968504266
-
Chebyshev approximations for the natural logarithm of the gamma function
-
(Apr.)
-
CODY, W. J., AND HILLSTROM, K. E. 1967. Chebyshev approximations for the natural logarithm of the gamma function. Math. Comput 21, 98 (Apr.), 198-203.
-
(1967)
Math. Comput
, vol.21
, Issue.98
, pp. 198-203
-
-
CODY, W.J.1
HILLSTROM, K.E.2
-
10
-
-
0000912674
-
The numerically stable reconstruction of a Jacobi matrix from spectral data
-
(Sept.)
-
DE BOOR, C., AND GOLUB, G. H. 1978. The numerically stable reconstruction of a Jacobi matrix from spectral data. Linear Algebra Appl. 21, 3 (Sept.), 245-260.
-
(1978)
Linear Algebra Appl.
, vol.21
, Issue.3
, pp. 245-260
-
-
DE BOOR, C.1
GOLUB, G.H.2
-
11
-
-
0040938577
-
Moment-preserving spline approximation on finite intervals
-
(Mar.)
-
FRONTINI, M., GAUTSCHI, W., AND MILOVANOVIC, G. V. 1987. Moment-preserving spline approximation on finite intervals. Numer. Math. 50, 5 (Mar.), 503-518.
-
(1987)
Numer. Math.
, vol.50
, Issue.5
, pp. 503-518
-
-
FRONTINI, M.1
GAUTSCHI, W.2
MILOVANOVIC, G.V.3
-
12
-
-
84862042697
-
-
review 42. Math. Comput., (July), (Loose microfiche suppl. E.)
-
GALANT, D. 1969. Gauss quadrature rules for the evaluation of 2·-1/2 exp(-x2)f(x) dx, review 42. Math. Comput. 23, 107 (July), 676-677. (Loose microfiche suppl. E.)
-
(1969)
Gauss quadrature rules for the evaluation of 2·-1/2 exp(-x2)f(x) dx
, vol.23
, Issue.107
, pp. 676-677
-
-
GALANT, D.1
-
13
-
-
84968490637
-
An implementation of Christoffel's theorem in the theory of orthogonal polynomials
-
(Jan.)
-
GALANT, D. 1971. An implementation of Christoffel's theorem in the theory of orthogonal polynomials. Math. Comput. 25, 113 (Jan.), 111-113.
-
(1971)
Math. Comput.
, vol.25
, Issue.113
, pp. 111-113
-
-
GALANT, D.1
-
14
-
-
84968467316
-
Algebraic methods for modified orthogonal polynomials
-
(Oct.)
-
GALANT, D. 1992. Algebraic methods for modified orthogonal polynomials. Math. Comput. 59, 200 (Oct.), 541-546.
-
(1992)
Math. Comput.
, vol.59
, Issue.200
, pp. 541-546
-
-
GALANT, D.1
-
15
-
-
0003805382
-
Numerical quadrature in the presence of a singularity
-
(Sept.)
-
GAUTSCHI, W. 1967a. Numerical quadrature in the presence of a singularity. SIAM J. Numer. Anal. 4, 3 (Sept.), 357-362.
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, Issue.3
, pp. 357-362
-
-
GAUTSCHI, W.1
-
16
-
-
0002334558
-
Computational aspects of three-term recurrence relations
-
(Jan.)
-
GAUTSCHI, W. 1967b. Computational aspects of three-term recurrence relations. SIAM Rev. 9, 1 (Jan.), 24-82.
-
(1967)
SIAM Rev.
, vol.9
, Issue.1
, pp. 24-82
-
-
GAUTSCHI, W.1
-
17
-
-
84968507660
-
On the preceding paper “A Legendre polynomial integral” by James L. Blue
-
(Apr.)
-
GAUTSCHI, W. 1979. On the preceding paper “A Legendre polynomial integral” by James L. Blue. Math. Comput. 33, 146 (Apr.), 742-743.
-
(1979)
Math. Comput.
, vol.33
, Issue.146
, pp. 742-743
-
-
GAUTSCHI, W.1
-
18
-
-
84966208168
-
Minimal solutions of three-term recurrence relations and orthogonal polynomials
-
(Apr.)
-
GAUTSCHI, W. 1981. Minimal solutions of three-term recurrence relations and orthogonal polynomials. Math. Comput. 36, 154 (Apr.), 547-554.
-
(1981)
Math. Comput.
, vol.36
, Issue.154
, pp. 547-554
-
-
GAUTSCHI, W.1
-
19
-
-
0001505159
-
On generating orthogonal polynomials
-
(Sept.)
-
GAUTSCHI, W. 1982a. On generating orthogonal polynomials. SIAM J. Sci. Stat. Comput. 3, 3 (Sept.), 289-317.
-
(1982)
SIAM J. Sci. Stat. Comput.
, vol.3
, Issue.3
, pp. 289-317
-
-
GAUTSCHI, W.1
-
20
-
-
0001849258
-
An algorithmic implementation of the generalized Christoffel theorem
-
G. Hämmerlin, Ed. International Series of Numerical Mathematics, Birkhäuser, Basel
-
GAUTSCHI, W. 1982b. An algorithmic implementation of the generalized Christoffel theorem. In Numerical Integration, G. Hämmerlin, Ed. International Series of Numerical Mathematics, vol. 57. Birkhäuser, Basel, pp. 89-106.
-
(1982)
In Numerical Integration
, vol.57
, pp. 89-106
-
-
GAUTSCHI, W.1
-
21
-
-
0039752541
-
Discrete approximations to spherically symmetric distributions
-
(June)
-
GAUTSCHI, W. 1984a. Discrete approximations to spherically symmetric distributions. Numer. Math. 44, 1 (June), 53-60.
-
(1984)
Numer. Math.
, vol.44
, Issue.1
, pp. 53-60
-
-
GAUTSCHI, W.1
-
22
-
-
0012411229
-
Questions of numerical condition related to polynomials
-
G. H. Golub, Ed. Studies in Numerical Analysis. Mathematical Association of America, Washington, D.C.
-
GAUTSCHI, W. 1984b. Questions of numerical condition related to polynomials. In Studies in Mathematics, vol. 24. G. H. Golub, Ed. Studies in Numerical Analysis. Mathematical Association of America, Washington, D.C., pp. 140-177.
-
(1984)
In Studies in Mathematics
, vol.24
, pp. 140-177
-
-
GAUTSCHI, W.1
-
23
-
-
0008495563
-
On the sensitivity of orthogonal polynomials to perturbations in the moments
-
(Apr.)
-
GAUTSCHI, W. 1986a. On the sensitivity of orthogonal polynomials to perturbations in the moments. Numer. Math. 48, 4 (Apr.), 369-382.
-
(1986)
Numer. Math.
, vol.48
, Issue.4
, pp. 369-382
-
-
GAUTSCHI, W.1
-
24
-
-
84976776224
-
Reminiscences of my involvement in de Branges's proof of the Bieberbach conjecture
-
Mathematical Surveys and Monographs, no. 21. American Mathematical Society, Providence, R.I.
-
GAUTSCHI, W. 1986b. Reminiscences of my involvement in de Branges's proof of the Bieberbach conjecture. In The Bieberbach Conjecture. Mathematical Surveys and Monographs, no. 21. American Mathematical Society, Providence, R.I., pp. 205-211.
-
(1986)
In The Bieberbach Conjecture.
, pp. 205-211
-
-
GAUTSCHI, W.1
-
25
-
-
0008490343
-
Computational aspects of orthogonal polynomials
-
P. Nevai, Ed. NATO ASI Series, Series C: Mathematical and Physical Sciences, vol. 294. Kluwer, Dordrecht
-
GAUTSCHI, W. 1990. Computational aspects of orthogonal polynomials. In Orthogonal Polynomials-Theory and Practice, P. Nevai, Ed. NATO ASI Series, Series C: Mathematical and Physical Sciences, vol. 294. Kluwer, Dordrecht, pp. 181-216.
-
(1990)
In Orthogonal Polynomials-Theory and Practice
, pp. 181-216
-
-
GAUTSCHI, W.1
-
26
-
-
84966217251
-
A class of slowly convergent series and their summation by Gaussian quadrature
-
(July)
-
GAUTSCHI, W. 1991a. A class of slowly convergent series and their summation by Gaussian quadrature. Math. Comput. 57, 195 (July), 309-324.
-
(1991)
Math. Comput.
, vol.57
, Issue.195
, pp. 309-324
-
-
GAUTSCHI, W.1
-
27
-
-
84966212955
-
On certain slowly convergent series occurring in plate contact problems
-
(July)
-
GAUTSCHI, W. 1991b. On certain slowly convergent series occurring in plate contact problems. Math. Comput. 57, 195 (July), 325-338.
-
(1991)
Math. Comput.
, vol.57
, Issue.195
, pp. 325-338
-
-
GAUTSCHI, W.1
-
28
-
-
34249925916
-
Quadrature formulae on half-infinite intervals
-
C
-
GAUTSCHI, W. 1991C. Quadrature formulae on half-infinite intervals. BIT 31, 3, 438-446.
-
(1991)
BIT
, vol.31
, Issue.3
, pp. 438-446
-
-
GAUTSCHI, W.1
-
29
-
-
0042468810
-
Computational problems and applications of orthogonal polynomials
-
d, IMACS Annals on Computing and Applied Mathematics, Baltzer, Basel
-
GAUTSCHI, W. 1991d. Computational problems and applications of orthogonal polynomials. In Orthogonal Polynomials and Their Applications. IMACS Annals on Computing and Applied Mathematics, vol. 9. Baltzer, Basel, pp. 61-71.
-
(1991)
In Orthogonal Polynomials and Their Applications.
, vol.9
, pp. 61-71
-
-
GAUTSCHI, W.1
-
30
-
-
0002539172
-
Gauss-type quadrature rules for rational functions
-
H. Brass and G. Hämmerlin, Eds. International Series of Numerical Mathematics, vol. 112. Birhäuser, Basel
-
GAUTSCHI, W. 1993a. Gauss-type quadrature rules for rational functions. In Numerical Integration IV, H. Brass and G. Hämmerlin, Eds. International Series of Numerical Mathematics, vol. 112. Birhäuser, Basel, 111-130.
-
(1993)
In Numerical Integration IV
, pp. 111-130
-
-
GAUTSCHI, W.1
-
31
-
-
0027544727
-
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
-
(Feb.)
-
GAUTSCHI, W. 1993b. On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Comput. Phys. Commun. 74, 2 (Feb.), 233-238.
-
(1993)
Comput. Phys. Commun.
, vol.74
, Issue.2
, pp. 233-238
-
-
GAUTSCHI, W.1
-
32
-
-
17544377846
-
Is the recurrence relation for orthogonal polynomials always stable?
-
c
-
GAUTSCHI, W. 1993c. Is the recurrence relation for orthogonal polynomials always stable? BIT 33, 2, 277-284.
-
(1993)
BIT
, vol.33
, Issue.2
, pp. 277-284
-
-
GAUTSCHI, W.1
-
33
-
-
0041698994
-
A set of orthogonal polynomials induced by a given orthogonal polynomial
-
(Aug.)
-
GAUTSCHI, W., AND LI, S. 1993. A set of orthogonal polynomials induced by a given orthogonal polynomial. Aequationes Math. 46, 1/2 (Aug.), 174-198.
-
(1993)
Aequationes Math.
, vol.46
, Issue.1-2
, pp. 174-198
-
-
GAUTSCHI, W.1
LI, S.2
-
34
-
-
84966211238
-
Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series
-
(Jan)
-
GAUTSCHI, W., AND MILOVANOVC, G. V. 1985. Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Math Comput. 44, 169 (Jan), 177-190.
-
(1985)
Math Comput.
, vol.44
, Issue.169
, pp. 177-190
-
-
GAUTSCHI, W.1
MILOVANOVC, G.V.2
-
35
-
-
0040344644
-
Spline approximations to spherically symmetric distributions
-
(July)
-
GAUTSCHI, W., AND MILOVANOVIC, G. V. 1986. Spline approximations to spherically symmetric distributions. Numer. Math. 49, 2/3 (July), 111-121.
-
(1986)
Numer. Math.
, vol.49
, Issue.2-3
, pp. 111-121
-
-
GAUTSCHI, W.1
MILOVANOVIC, G.V.2
-
36
-
-
0021006614
-
Error bounds for Gaussian quadrature of analytic functions
-
(Dec.)
-
GAUTSCHI, W., AND VARGA, R. S. 1983. Error bounds for Gaussian quadrature of analytic functions. SIAM J. Numer. Anal. 20, 6 (Dec.), 1170-1186.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, Issue.6
, pp. 1170-1186
-
-
GAUTSCHI, W.1
VARGA, R.S.2
-
37
-
-
0039469279
-
Computing the Hilbert transform of a Jacobi weight function
-
GAUTSCHI, W., AND WIMP, J. 1987. Computing the Hilbert transform of a Jacobi weight function. BIT 27, 2, 203-215.
-
(1987)
BIT
, vol.27
, Issue.2
, pp. 203-215
-
-
GAUTSCHI, W.1
WIMP, J.2
-
38
-
-
0023542077
-
The numerical evaluation of singular integrals with coth-kernel
-
GAUTSCHI, W., KOVACEVC, M. A., AND MILOVANOVIC, G. V. 1987. The numerical evaluation of singular integrals with coth-kernel. BIT 27, 3, 389-402.
-
(1987)
BIT
, vol.27
, Issue.3
, pp. 389-402
-
-
GAUTSCHI, W.1
KOVACEVC, M.A.2
MILOVANOVIC, G.V.3
-
39
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
(Apr.)
-
GOLUB, G. H. 1973. Some modified matrix eigenvalue problems. SIAM Rev. 15, 2 (Apr.), 318-334.
-
(1973)
SIAM Rev.
, vol.15
, Issue.2
, pp. 318-334
-
-
GOLUB, G.H.1
-
40
-
-
0000223746
-
Calculation of Gauss quadrature rules
-
(Apr.)
-
GOLUB, G. H., AND WELSCH, J. H. 1969. Calculation of Gauss quadrature rules. Math. Comput. 23, 106 (Apr.), 221-230.
-
(1969)
Math. Comput.
, vol.23
, Issue.106
, pp. 221-230
-
-
GOLUB, G.H.1
WELSCH, J.H.2
-
41
-
-
0001190030
-
The numerically stable reconstruction of Jacobi matrices from spectral data
-
(Sept)
-
GRAGG, W. B., AND HARROD, W. J. 1984. The numerically stable reconstruction of Jacobi matrices from spectral data. Numer. Math. 44, 3 (Sept), 317-335.
-
(1984)
Numer. Math.
, vol.44
, Issue.3
, pp. 317-335
-
-
GRAGG, W.B.1
HARROD, W.J.2
-
43
-
-
84966209219
-
Mathematical Functions and Their Approximations
-
Academic Press, New York.
-
LUKE, Y. L. 1975. Mathematical Functions and Their Approximations. Academic Press, New York.
-
(1975)
-
-
LUKE, Y.L.1
-
44
-
-
84972496151
-
Elliptic orthogonal polynomials
-
REES, C. J. 1945. Elliptic orthogonal polynomials. Duke Math J. 12, 173-187.
-
(1945)
Duke Math J.
, vol.12
, pp. 173-187
-
-
REES, C.J.1
-
45
-
-
0039715520
-
On Jacobi rotation patterns
-
Proceedings of Symposia in Applied Mathematics, American Mathematical Society, Providence, R.I.
-
RUTISHAUSER, H. 1963. On Jacobi rotation patterns. In Experimental Arithmetic, High Speed Computing and Mathematics. Proceedings of Symposia in Applied Mathematics, vol. 15. American Mathematical Society, Providence, R.I., pp. 219-239.
-
(1963)
In Experimental Arithmetic, High Speed Computing and Mathematics.
, vol.15
, pp. 219-239
-
-
RUTISHAUSER, H.1
-
46
-
-
0000705414
-
An algorithm for Gaussian quadrature given modified moments
-
(Mar.)
-
SACK, R. A., AND DONOVAN, A. F. 1972. An algorithm for Gaussian quadrature given modified moments. Numer. Math. 18, 5 (Mar.), 465-478.
-
(1972)
Numer. Math.
, vol.18
, Issue.5
, pp. 465-478
-
-
SACK, R.A.1
DONOVAN, A.F.2
-
47
-
-
0003430610
-
Gaussian Quadrature Formulas
-
Prentice-Hall, Englewood Cliffs, N.J.
-
STROUD, A. H., AND SECREST, D 1966. Gaussian Quadrature Formulas Prentice-Hall, Englewood Cliffs, N.J.
-
(1966)
-
-
STROUD, A.H.1
SECREST, D.2
-
48
-
-
0008494658
-
Relation between polynomials orthogonal with different weights
-
(In Russian.)
-
UVAROV, V. B. 1959. Relation between polynomials orthogonal with different weights. Dokl. Akad. Nauk SSSR 126, 1, 33-36. (In Russian.)
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.126
, Issue.1
, pp. 33-36
-
-
UVAROV, V.B.1
-
49
-
-
0040443249
-
The connection between systems of polynomials that are orthogonal with respect to different distribution functions
-
(In Russian.)
-
UVAROV, V. B. 1969. The connection between systems of polynomials that are orthogonal with respect to different distribution functions. Ž Vycisl. Mat. Mat. Fiz. 9, 6, 1253-1262. (In Russian.)
-
(1969)
Ž Vycisl. Mat. Mat. Fiz.
, vol.9
, Issue.6
, pp. 1253-1262
-
-
UVAROV, V.B.1
-
50
-
-
0000955005
-
Modified moments and Gaussian quadrature
-
WHEELER, J. C. 1974. Modified moments and Gaussian quadrature. Rocky Mountain J. Math. 4, 2, 287-296.
-
(1974)
Rocky Mountain J. Math.
, vol.4
, Issue.2
, pp. 287-296
-
-
WHEELER, J.C.1
-
51
-
-
0003660674
-
The Algebraic Eigenvalue Problem
-
Clarendon Press, Oxford.
-
WILKINSON, J. H. 1965. The Algebraic Eigenvalue Problem. Clarendon Press, Oxford.
-
(1965)
-
-
WILKINSON, J.H.1
|