-
2
-
-
0000665315
-
On Bernoulli's numerical solution of algebraic equations
-
A.C. Aitken, On Bernoulli's numerical solution of algebraic equations, Proc. R. Soc. Edinb. 46 (1926) 289-305.
-
(1926)
Proc. R. Soc. Edinb.
, vol.46
, pp. 289-305
-
-
Aitken, A.C.1
-
3
-
-
0005282024
-
Interpolation
-
J. Molk, ed., Tome I, Fasc. 1, 1-21 (Gauthier-Villars, Paris, 1904-1912) reprinted by Editions Gabay, Paris
-
H. Andoyer, Interpolation, in: J. Molk, ed., Encyclopédie des Sciences Mathématiques Pures et Appliquées, Tome I, vol. 4, Fasc. 1, 1-21 (Gauthier-Villars, Paris, 1904-1912) 127-160; reprinted by (Editions Gabay, Paris, 1993).
-
(1993)
Encyclopédie des Sciences Mathématiques Pures et Appliquées
, vol.4
, pp. 127-160
-
-
Andoyer, H.1
-
4
-
-
0001325525
-
Application of the Padé method to the investigation of some magnetic properties of the Ising model
-
G.A. Baker Jr, Application of the Padé method to the investigation of some magnetic properties of the Ising model, Phys. Rev. 124 (1961) 768-774.
-
(1961)
Phys. Rev.
, vol.124
, pp. 768-774
-
-
Baker G.A., Jr.1
-
5
-
-
0004160175
-
-
2 vols. (Addison-Wesley, Reading, MA, 1981); also: Cambridge University Press, Cambridge, 2nd ed.
-
G.A. Baker Jr and P.R. Graves-Morris, Padé Approximates, 2 vols. (Addison-Wesley, Reading, MA, 1981); also: (Cambridge University Press, Cambridge, 2nd ed., 1996).
-
(1996)
Padé Approximates
-
-
Baker G.A., Jr.1
Graves-Morris, P.R.2
-
6
-
-
0005281367
-
La méthode d'intégration numérique de romberg
-
Librairie Universitaire, Louvain
-
F.L. Bauer, La méthode d'intégration numérique de Romberg, in: Colloque sur l'Analyse Numérique (Librairie Universitaire, Louvain, 1961) 119-129.
-
(1961)
Colloque sur l'Analyse Numérique
, pp. 119-129
-
-
Bauer, F.L.1
-
7
-
-
0005385514
-
A connection between the E-algorithm and the epsilon-algorithm
-
C. Brezinski, ed., Baltzer, Basel
-
B. Beckermann, A connection between the E-algorithm and the epsilon-algorithm, in: C. Brezinski, ed., Numerical and Applied Mathematics (Baltzer, Basel, 1989) 443-446.
-
(1989)
Numerical and Applied Mathematics
, pp. 443-446
-
-
Beckermann, B.1
-
9
-
-
0022118375
-
Sequence transformations as statistical tools
-
A. Berlinet, Sequence transformations as statistical tools, Appl. Numer. Math. 1 (1985) 531-544.
-
(1985)
Appl. Numer. Math.
, vol.1
, pp. 531-544
-
-
Berlinet, A.1
-
10
-
-
0005280127
-
On Rayleigh's principle in the theory of differential equations of mathematical physics and upon Euler's method in the calculus of variation
-
in Russian
-
N. Bogolyubov, N. Krylov, On Rayleigh's principle in the theory of differential equations of mathematical physics and upon Euler's method in the calculus of variation, Acad. Sci. Ukraine (Phys. Math.) 3 (1926) 3-22 (in Russian).
-
(1926)
Acad. Sci. Ukraine (Phys. Math.)
, vol.3
, pp. 3-22
-
-
Bogolyubov, N.1
Krylov, N.2
-
11
-
-
84971114256
-
Eigenvalues of differential equations by finite-difference methods
-
H.C. Bolton, H.I. Scoins, Eigenvalues of differential equations by finite-difference methods, Proc. Cambridge Phil. Soc. 52 (1956) 215-229.
-
(1956)
Proc. Cambridge Phil. Soc.
, vol.52
, pp. 215-229
-
-
Bolton, H.C.1
Scoins, H.I.2
-
12
-
-
0005323285
-
Application de l'ε-algorithme à la résolution des systèmes non linéaires
-
C. Brezinski, Application de l'ε-algorithme à la résolution des systèmes non linéaires, C. R. Acad. Sci. Paris 271 A (1970) 1174-1177.
-
(1970)
C. R. Acad. Sci. Paris
, vol.271 A
, pp. 1174-1177
-
-
Brezinski, C.1
-
13
-
-
0000701158
-
Accélération de suites à convergence logarithmique
-
C. Brezinski, Accélération de suites à convergence logarithmique, C. R. Acad. Sci. Paris 273 A (1971) 727-730.
-
(1971)
C. R. Acad. Sci. Paris
, vol.273 A
, pp. 727-730
-
-
Brezinski, C.1
-
14
-
-
51249190243
-
Généralisation de la transformation de shanks, de la table de padé et de l'ε-algorithme
-
C. Brezinski, Généralisation de la transformation de Shanks, de la table de Padé et de l'ε-algorithme, Calcolo 12 (1975) 317-360.
-
(1975)
Calcolo
, vol.12
, pp. 317-360
-
-
Brezinski, C.1
-
15
-
-
0000172225
-
A general extrapolation algorithm
-
C. Brezinski, A general extrapolation algorithm, Numer. Math. 35 (1980) 175-187.
-
(1980)
Numer. Math.
, vol.35
, pp. 175-187
-
-
Brezinski, C.1
-
17
-
-
0005280873
-
Error control in convergence acceleration processes
-
C. Brezinski, Error control in convergence acceleration processes, IMA J. Numer. Anal. 3 (1983) 65-80.
-
(1983)
IMA J. Numer. Anal.
, vol.3
, pp. 65-80
-
-
Brezinski, C.1
-
18
-
-
0005321633
-
Composite sequence transformations
-
C. Brezinski, Composite sequence transformations, Numer. Math. 46 (1985) 311-321.
-
(1985)
Numer. Math.
, vol.46
, pp. 311-321
-
-
Brezinski, C.1
-
19
-
-
0005282025
-
A new approach to convergence acceleration methods
-
A. Cuyt, ed., Reidel, Dordrecht
-
C. Brezinski, A new approach to convergence acceleration methods, in: A. Cuyt, ed., Nonlinear Numerical Methods and Rational Approximation (Reidel, Dordrecht, 1988) 373-405.
-
(1988)
Nonlinear Numerical Methods and Rational Approximation
, pp. 373-405
-
-
Brezinski, C.1
-
20
-
-
0002481251
-
Quasi-linear extrapolation processes
-
R.P. Agarwal et al., eds., Singapore 1988, ISNM 86 Birkhäuser, Basel
-
C. Brezinski, Quasi-linear extrapolation processes, in: R.P. Agarwal et al., eds., Numerical Mathematics. Singapore 1988, ISNM 86 (Birkhäuser, Basel, 1988) 61-78.
-
(1988)
Numerical Mathematics
, pp. 61-78
-
-
Brezinski, C.1
-
21
-
-
0005342476
-
A survey of iterative extrapolation by the E-algorithm
-
C. Brezinski, A survey of iterative extrapolation by the E-algorithm, Det Kong. Norske Vid. Selsk. Skr. 2 (1989) 1-26.
-
(1989)
Det Kong. Norske Vid. Selsk. Skr.
, vol.2
, pp. 1-26
-
-
Brezinski, C.1
-
25
-
-
0005388342
-
The generalizations of Newton's interpolation formula due to Mühlbach and Andoyer
-
C. Brezinski, The generalizations of Newton's interpolation formula due to Mühlbach and Andoyer, Elect. Trans. Numer. Anal. 2 (1994) 130-137.
-
(1994)
Elect. Trans. Numer. Anal.
, vol.2
, pp. 130-137
-
-
Brezinski, C.1
-
27
-
-
84976066915
-
A derivation of extrapolation algorithms based on error estimates
-
to appear
-
C. Brezinski and A.C. Matos, A derivation of extrapolation algorithms based on error estimates, J. Comput. Appl. Math., to appear.
-
J. Comput. Appl. Math.
-
-
Brezinski, C.1
Matos, A.C.2
-
28
-
-
0005344839
-
Construction of extrapolation processes
-
C. Brezinski and M. Redivo Zaglia, Construction of extrapolation processes, Appl. Numer. Math. 8 (1991) 11-23.
-
(1991)
Appl. Numer. Math.
, vol.8
, pp. 11-23
-
-
Brezinski, C.1
Zaglia, M.R.2
-
30
-
-
0003030455
-
Treatment of near-breakdown in the CGS algorithm
-
C. Brezinski and M. Redivo Zaglia, Treatment of near-breakdown in the CGS algorithm, Numerical Algor. 7 (1994) 33-73.
-
(1994)
Numerical Algor.
, vol.7
, pp. 33-73
-
-
Brezinski, C.1
Zaglia, M.R.2
-
31
-
-
51249165521
-
A general extrapolation procedure revisited
-
C. Brezinski and M. Redivo Zaglia, A general extrapolation procedure revisited, Adv. Comput. Math. 2 (1994) 461-477.
-
(1994)
Adv. Comput. Math.
, vol.2
, pp. 461-477
-
-
Brezinski, C.1
Zaglia, M.R.2
-
32
-
-
0001595068
-
Avoiding breakdown and near-breakdown in Lanczos type algorithms
-
C. Brezinski, M. Redivo Zaglia and H. Sadok, Avoiding breakdown and near-breakdown in Lanczos type algorithms, Numerical Algor. 1 (1991) 261-274.
-
(1991)
Numerical Algor.
, vol.1
, pp. 261-274
-
-
Brezinski, C.1
Zaglia, M.R.2
Sadok, H.3
-
33
-
-
21144473062
-
A breakdown-free Lanczos type algorithm for solving linear systems
-
C. Brezinski, M. Redivo Zaglia and H. Sadok, A breakdown-free Lanczos type algorithm for solving linear systems, Numer. Math. 63 (1992) 29-38.
-
(1992)
Numer. Math.
, vol.63
, pp. 29-38
-
-
Brezinski, C.1
Zaglia, M.R.2
Sadok, H.3
-
34
-
-
84966212531
-
The solution of systems of equations using the vector ε-algorithm, and an application to boundary value problems
-
C. Brezinski and A.C. Rieu, The solution of systems of equations using the vector ε-algorithm, and an application to boundary value problems, Math. Comp. 28 (1974) 731-741.
-
(1974)
Math. Comp.
, vol.28
, pp. 731-741
-
-
Brezinski, C.1
Rieu, A.C.2
-
35
-
-
70350315109
-
Padé approximations
-
P.G. Ciarlet and J.L. Lions, eds., North-Holland, Amsterdam
-
C. Brezinski and J. van Iseghem, Padé approximations, in: P.G. Ciarlet and J.L. Lions, eds., Handbook of Numerical Analysis, Vol. III (North-Holland, Amsterdam, 1994) 47-222.
-
(1994)
Handbook of Numerical Analysis
, vol.3
, pp. 47-222
-
-
Brezinski, C.1
Van Iseghem, J.2
-
36
-
-
0005364357
-
Sequences of transformations and triangular recursion schemes with applications in numerical analysis
-
C. Brezinski and G. Walz, Sequences of transformations and triangular recursion schemes with applications in numerical analysis, J. Comput. Appl. Math. 34 (1991) 361-383.
-
(1991)
J. Comput. Appl. Math.
, vol.34
, pp. 361-383
-
-
Brezinski, C.1
Walz, G.2
-
37
-
-
27844591085
-
Numerical treatment of ordinary differential equations by extrapolation methods
-
R. Bulirsch and J. Stoer, Numerical treatment of ordinary differential equations by extrapolation methods, Numer. Math. 8 (1966) 1-13.
-
(1966)
Numer. Math.
, vol.8
, pp. 1-13
-
-
Bulirsch, R.1
Stoer, J.2
-
39
-
-
0039941908
-
Ein beitrag zur mannigfaltigkeitslehre
-
G. Cantor, Ein Beitrag zur Mannigfaltigkeitslehre, J. Reine Angew. Math. 84 (1878) 242-258.
-
(1878)
J. Reine Angew. Math.
, vol.84
, pp. 242-258
-
-
Cantor, G.1
-
40
-
-
0005346312
-
On a general epsilon algorithm
-
C. Brezinski, ed., Baltzer, Basel
-
C. Carstensen, On a general epsilon algorithm, in: C. Brezinski, ed., Numerical and Applied Mathematics (Baltzer, Basel, 1989) 437-441.
-
(1989)
Numerical and Applied Mathematics
, pp. 437-441
-
-
Carstensen, C.1
-
43
-
-
0002135374
-
Démonstration algébrique de l'extension de l'identité de wynn aux tables de padé non normales
-
L. Wuytack, ed., Lecture Notes in Mathematics Springer, Berlin
-
F. Cordellier, Démonstration algébrique de l'extension de l'identité de Wynn aux tables de Padé non normales, in: L. Wuytack, ed., Padé Approximation and its Applications, Lecture Notes in Mathematics 765 (Springer, Berlin, 1979) 36-60.
-
(1979)
Padé Approximation and its Applications
, vol.765
, pp. 36-60
-
-
Cordellier, F.1
-
45
-
-
84966218562
-
Automatic selection of sequence transformations
-
J.P. Delahaye, Automatic selection of sequence transformations, Math. Comp. 37 (1981) 197-204.
-
(1981)
Math. Comp.
, vol.37
, pp. 197-204
-
-
Delahaye, J.P.1
-
47
-
-
0001296647
-
Résultats négatifs en accélération de la convergence
-
J.P. Delahaye and B. Germain-Bonne, Résultats négatifs en accélération de la convergence, Numer. Math. 35 (1980) 443-457.
-
(1980)
Numer. Math.
, vol.35
, pp. 443-457
-
-
Delahaye, J.P.1
Germain-Bonne, B.2
-
50
-
-
0005282027
-
Richardson-extrapolation and Romberg-integration
-
J. Dutka, Richardson-extrapolation and Romberg-integration, Historia Math. 11 (1984) 3-21.
-
(1984)
Historia Math.
, vol.11
, pp. 3-21
-
-
Dutka, J.1
-
51
-
-
0010967324
-
-
Lecture Notes in Mathematics Springer, Berlin
-
A. Edrei, E.B. Saff and R.S. Varga, Zeros of Sections of Power Series, Lecture Notes in Mathematics 1002 (Springer, Berlin, 1983).
-
(1983)
Zeros of Sections of Power Series
, vol.1002
-
-
Edrei, A.1
Saff, E.B.2
Varga, R.S.3
-
52
-
-
0023427925
-
An algorithm for a generalization of the Richardson extrapolation process
-
W.F. Ford and A. Sidi, An algorithm for a generalization of the Richardson extrapolation process, SIAM J. Numer. Anal. 24 (1987) 1212-1232.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 1212-1232
-
-
Ford, W.F.1
Sidi, A.2
-
53
-
-
84966252930
-
On the solution of systems of equations by the epsilon algorithm of Wynn
-
E. Gekeler, On the solution of systems of equations by the epsilon algorithm of Wynn, Math. Comp. 26 (1972) 427-436.
-
(1972)
Math. Comp.
, vol.26
, pp. 427-436
-
-
Gekeler, E.1
-
56
-
-
0001505099
-
On extrapolation algorithms for initial-value problems
-
W.B. Gragg, On extrapolation algorithms for initial-value problems, SIAM J. Numer. Anal. 2 (1965) 384-403.
-
(1965)
SIAM J. Numer. Anal.
, vol.2
, pp. 384-403
-
-
Gragg, W.B.1
-
57
-
-
0000996745
-
Vector valued rational interpolants I
-
P.R. Graves-Morris, Vector valued rational interpolants I, Numer. Math. 42 (1983) 331-348.
-
(1983)
Numer. Math.
, vol.42
, pp. 331-348
-
-
Graves-Morris, P.R.1
-
59
-
-
0003219224
-
The unsymmetric Lanczos algorithms and their relations to Padé approximation, continued fractions, and the qd algorithm
-
M.H. Gutknecht, The unsymmetric Lanczos algorithms and their relations to Padé approximation, continued fractions, and the qd algorithm, in: Proceedings of the Copper Mountain Conference on Iterative Methods (1990).
-
(1990)
Proceedings of the Copper Mountain Conference on Iterative Methods
-
-
Gutknecht, M.H.1
-
60
-
-
0018732881
-
Generalized Neville type extrapolation schemes
-
T. Håvie, Generalized Neville type extrapolation schemes, BIT 19 (1979) 204-213.
-
(1979)
BIT
, vol.19
, pp. 204-213
-
-
Håvie, T.1
-
64
-
-
0002270759
-
Sur la fonction exponentielle
-
C. Hermite, Sur la fonction exponentielle, C. R. Acad. Sci. Paris 77 (1873) 18-24, 74-79, 226-233, 285-293.
-
(1873)
C. R. Acad. Sci. Paris
, vol.77
, pp. 18-24
-
-
Hermite, C.1
-
65
-
-
85029986597
-
De circuli magnitudine inventa
-
C. Huygens, De circuli magnitudine inventa, in: Œuvres, t. XII (1654).
-
(1654)
ŒUvres
, vol.12
-
-
Huygens, C.1
-
66
-
-
84941613911
-
Über die darstellung einer reihe gegebener werthe durch eine gebrochen rationale funktion
-
C.G.J. Jacobi, Über die Darstellung einer Reihe gegebener Werthe durch eine gebrochen rationale Funktion, J. Reine Angew. Math. 30 (1845) 127-156.
-
(1845)
J. Reine Angew. Math.
, vol.30
, pp. 127-156
-
-
Jacobi, C.G.J.1
-
67
-
-
0001003956
-
Some results about vector extrapolation methods and related fixed-point iterations
-
K. Jbilou and H. Sadok, Some results about vector extrapolation methods and related fixed-point iterations, J. Comput. Appl. Math. 36 (1991) 385-398.
-
(1991)
J. Comput. Appl. Math.
, vol.36
, pp. 385-398
-
-
Jbilou, K.1
Sadok, H.2
-
69
-
-
0015141223
-
Survey of extrapolation processes in numerical analysis
-
D.C. Joyce, Survey of extrapolation processes in numerical analysis, SIAM Rev. 13 (1971) 435-490.
-
(1971)
SIAM Rev.
, vol.13
, pp. 435-490
-
-
Joyce, D.C.1
-
71
-
-
0040832267
-
Sur l'usage des fractions continues dans le calcul intégral
-
J.L. Lagrange, Sur l'usage des fractions continues dans le calcul intégral, Nouveaux Mém. Acad. Sci. Berlin 7 (1776) 236-264; Oeuvres 4 (1869) 301-322.
-
(1776)
Nouveaux Mém. Acad. Sci. Berlin
, vol.7
, pp. 236-264
-
-
Lagrange, J.L.1
-
72
-
-
0040237704
-
-
J.L. Lagrange, Sur l'usage des fractions continues dans le calcul intégral, Nouveaux Mém. Acad. Sci. Berlin 7 (1776) 236-264; Oeuvres 4 (1869) 301-322.
-
(1869)
Oeuvres
, vol.4
, pp. 301-322
-
-
-
73
-
-
0000076718
-
Observationes variae in mathesin puram
-
J.H. Lambert, Observationes variae in mathesin puram, Acta Helvetica 3 (1758) 128-168.
-
(1758)
Acta Helvetica
, vol.3
, pp. 128-168
-
-
Lambert, J.H.1
-
74
-
-
0001323667
-
Un théorème de convergence pour le procédé d'extrapolation de richardson
-
P.J. Laurent, Un théorème de convergence pour le procédé d'extrapolation de Richardson, C. R. Acad. Sci. Paris 256 (1963) 1435-1437.
-
(1963)
C. R. Acad. Sci. Paris
, vol.256
, pp. 1435-1437
-
-
Laurent, P.J.1
-
75
-
-
0028480852
-
On the stochastic acceleration of sequences of random variables
-
H. Lavastre, On the stochastic acceleration of sequences of random variables, Appl. Numer. Math. 15 (1994) 77-98.
-
(1994)
Appl. Numer. Math.
, vol.15
, pp. 77-98
-
-
Lavastre, H.1
-
76
-
-
0000168478
-
Convergence of the topological ε-algorithm for solving systems of nonlinear equations
-
H. Le Ferrand, Convergence of the topological ε-algorithm for solving systems of nonlinear equations, Numerical Algor. 3 (1992) 273-284.
-
(1992)
Numerical Algor.
, vol.3
, pp. 273-284
-
-
Ferrand, H.L.1
-
77
-
-
84948301871
-
Development of nonlinear transformations for improving convergence of sequences
-
D. Levin, Development of nonlinear transformations for improving convergence of sequences, Int. J. Comput. Math. B3 (1973) 371-388.
-
(1973)
Int. J. Comput. Math. B
, vol.3
, pp. 371-388
-
-
Levin, D.1
-
78
-
-
0039679035
-
Ueber die zahl π
-
F. Lindemann, Ueber die Zahl π, Math. Ann. 20 (1882) 213-225.
-
(1882)
Math. Ann.
, vol.20
, pp. 213-225
-
-
Lindemann, F.1
-
82
-
-
0001679226
-
A method of summing infinite series
-
S. Lubkin, A method of summing infinite series, J. Res. Nat. Bur. Stand. 48 (1952) 228-254.
-
(1952)
J. Res. Nat. Bur. Stand.
, vol.48
, pp. 228-254
-
-
Lubkin, S.1
-
85
-
-
0005338721
-
Acceleration methods based on convergence tests
-
A.C. Matos, Acceleration methods based on convergence tests, Numer. Math. 58 (1990) 329-340.
-
(1990)
Numer. Math.
, vol.58
, pp. 329-340
-
-
Matos, A.C.1
-
87
-
-
0005355744
-
Acceleration property for the columns of the E-algorithm
-
A.C. Matos and M. Prévost, Acceleration property for the columns of the E-algorithm, Numerical Algor. 2 (1992) 393-408.
-
(1992)
Numerical Algor.
, vol.2
, pp. 393-408
-
-
Matos, A.C.1
Prévost, M.2
-
89
-
-
0000321573
-
A note on the ε-algorithm
-
J.B. McLeod, A note on the ε-algorithm, Computing 7 (1971) 17-24.
-
(1971)
Computing
, vol.7
, pp. 17-24
-
-
McLeod, J.B.1
-
90
-
-
0005318096
-
Lower estimates for the error of the best uniform approximation
-
G. Meinardus and G.D. Taylor, Lower estimates for the error of the best uniform approximation, J. Approx. Theory 16 (1976) 150-161.
-
(1976)
J. Approx. Theory
, vol.16
, pp. 150-161
-
-
Meinardus, G.1
Taylor, G.D.2
-
91
-
-
0005279813
-
Extension of Huygens' approximation to a circular arc
-
R.M. Milne, Extension of Huygens' approximation to a circular arc, Math. Gaz. 2 (1903) 309-311.
-
(1903)
Math. Gaz.
, vol.2
, pp. 309-311
-
-
Milne, R.M.1
-
93
-
-
85029991552
-
Physique théorique: Les approximants de padé retrouvés
-
IREM de Lille, Lille
-
P. Moussa, Physique théorique: les approximants de Padé retrouvés, in: Approximants de Padé (IREM de Lille, Lille, 1994).
-
(1994)
Approximants de Padé
-
-
Moussa, P.1
-
94
-
-
0002789316
-
Neville-Aitken algorithms for interpolating by functions of Čebyšev-systems in the sense of Newton and in a generalized sense of Hermite
-
A.G. Law and B.N. Sahney, eds., Academic Press, New York
-
G. Mühlbach, Neville-Aitken algorithms for interpolating by functions of Čebyšev-systems in the sense of Newton and in a generalized sense of Hermite, in: A.G. Law and B.N. Sahney, eds., Theory of Approximation with Applications (Academic Press, New York, 1976) 200-212.
-
(1976)
Theory of Approximation with Applications
, pp. 200-212
-
-
Mühlbach, G.1
-
95
-
-
0005366827
-
Studien zu fürstenau's neuer methode der darstellung und berechnung der wurzeln algebraischer gleichungen durch determinanten der coefficienten
-
H. Naegelsbach, Studien zu Fürstenau's neuer Methode der Darstellung und Berechnung der Wurzeln algebraischer Gleichungen durch Determinanten der Coefficienten, Arch. Math. Phys. 59 (1876) 147-192; 61 (1877) 19-85.
-
(1876)
Arch. Math. Phys.
, vol.59
, pp. 147-192
-
-
Naegelsbach, H.1
-
96
-
-
0039645917
-
-
H. Naegelsbach, Studien zu Fürstenau's neuer Methode der Darstellung und Berechnung der Wurzeln algebraischer Gleichungen durch Determinanten der Coefficienten, Arch. Math. Phys. 59 (1876) 147-192; 61 (1877) 19-85.
-
(1877)
Arch. Math. Phys.
, vol.61
, pp. 19-85
-
-
-
98
-
-
85029984257
-
-
Trans. Math. Monographs American Mathematical Society, Providence, RI
-
E.M. Nikishin and V.N. Sorokin, Rational Approximations and Orthogonality, Trans. Math. Monographs 92 (American Mathematical Society, Providence, RI, 1991).
-
(1991)
Rational Approximations and Orthogonality
, vol.92
-
-
Nikishin, E.M.1
Sorokin, V.N.2
-
100
-
-
0000544833
-
Extended Aitken acceleration
-
K.J. Overholt, Extended Aitken acceleration, BIT 5 (1965) 122-132.
-
(1965)
BIT
, vol.5
, pp. 122-132
-
-
Overholt, K.J.1
-
101
-
-
0002664537
-
Sur la représentation approchée d'une fonction par des fractions rationnelles
-
H. Padé, Sur la représentation approchée d'une fonction par des fractions rationnelles, Ann. Sci. Ec. Norm. Sup. 9 (1892) 1-93; also in: C. Brezinski, ed., Oeuvres (Librairie Scientifique et Technique Albert Blanchard, Paris, 1984) 72-166.
-
(1892)
Ann. Sci. Ec. Norm. Sup.
, vol.9
, pp. 1-93
-
-
Padé, H.1
-
102
-
-
0039645919
-
-
Librairie Scientifique et Technique Albert Blanchard, Paris
-
H. Padé, Sur la représentation approchée d'une fonction par des fractions rationnelles, Ann. Sci. Ec. Norm. Sup. 9 (1892) 1-93; also in: C. Brezinski, ed., Oeuvres (Librairie Scientifique et Technique Albert Blanchard, Paris, 1984) 72-166.
-
(1984)
Oeuvres
, pp. 72-166
-
-
Brezinski, C.1
-
103
-
-
51249187889
-
Le trasformazioni razionali di una successione
-
R. Pennacchi, Le trasformazioni razionali di una successione, Calcolo 5 (1968) 37-50.
-
(1968)
Calcolo
, vol.5
, pp. 37-50
-
-
Pennacchi, R.1
-
105
-
-
51249169077
-
Acceleration property for the E-algorithm and an application to the summation of series
-
M. Prévost, Acceleration property for the E-algorithm and an application to the summation of series, Adv. Comput. Math. 2 (1994) 319-341.
-
(1994)
Adv. Comput. Math.
, vol.2
, pp. 319-341
-
-
Prévost, M.1
-
107
-
-
0000170864
-
The approximate arithmetical solution by finite difference of physical problems involving differential equations, with an application to the stress in a masonry dam
-
L.F. Richardson, The approximate arithmetical solution by finite difference of physical problems involving differential equations, with an application to the stress in a masonry dam, Philos. Trans. Roy. Soc. London Ser. A 210 (1910) 307-357.
-
(1910)
Philos. Trans. Roy. Soc. London Ser. A
, vol.210
, pp. 307-357
-
-
Richardson, L.F.1
-
108
-
-
0000202520
-
The deferred approach to the limit, I: Single lattice
-
L.F. Richardson, The deferred approach to the limit, I: Single lattice, Philos. Trans. Roy. Soc. London Ser. A 226 (1927) 299-349.
-
(1927)
Philos. Trans. Roy. Soc. London Ser. A
, vol.226
, pp. 299-349
-
-
Richardson, L.F.1
-
109
-
-
0002434398
-
Vereinfachte numerische Integration
-
W. Romberg, Vereinfachte numerische Integration, Kgl. Norske Vid. Selsk. Forsk. 28 (1955) 30-36.
-
(1955)
Kgl. Norske Vid. Selsk. Forsk.
, vol.28
, pp. 30-36
-
-
Romberg, W.1
-
110
-
-
0010843126
-
Der quotienten-differenzen-algorithmus
-
H. Rutishauser, Der Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Phys. 5 (1954) 233-251.
-
(1954)
Z. Angew. Math. Phys.
, vol.5
, pp. 233-251
-
-
Rutishauser, H.1
-
111
-
-
0040237695
-
Bestimmung der eigenwerte und eigenvektoren einer matrix mit hilfe des quotienten-differenzen-algorithmus
-
H. Rutishauser, Bestimmung der Eigenwerte und Eigenvektoren einer Matrix mit Hilfe des Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Phys. 6 (1955) 387-401.
-
(1955)
Z. Angew. Math. Phys.
, vol.6
, pp. 387-401
-
-
Rutishauser, H.1
-
112
-
-
0002712872
-
Ausdehnung des rombergschen prinzips
-
H. Rutishauser, Ausdehnung des Rombergschen Prinzips, Numer. Math. 5 (1963) 48-54.
-
(1963)
Numer. Math.
, vol.5
, pp. 48-54
-
-
Rutishauser, H.1
-
113
-
-
21144483373
-
Quasilinear vector extrapolation methods
-
H. Sadok, Quasilinear vector extrapolation methods, Linear Alg. Appl. 190 (1993) 71-85.
-
(1993)
Linear Alg. Appl.
, vol.190
, pp. 71-85
-
-
Sadok, H.1
-
115
-
-
0005389516
-
Non-commutative extrapolation algorithms
-
A. Salam, Non-commutative extrapolation algorithms, Numerical Algor. 7 (1994) 225-251.
-
(1994)
Numerical Algor.
, vol.7
, pp. 225-251
-
-
Salam, A.1
-
116
-
-
0005425422
-
On the numerical solution of linear simultaneous equations by an iterative method
-
J.R. Schmidt, On the numerical solution of linear simultaneous equations by an iterative method, Phil. Mag. 7 (1941) 369-383.
-
(1941)
Phil. Mag.
, vol.7
, pp. 369-383
-
-
Schmidt, J.R.1
-
117
-
-
0000064704
-
Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfällen
-
C. Schneider, Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfällen, Numer. Math. 24 (1975) 177-184.
-
(1975)
Numer. Math.
, vol.24
, pp. 177-184
-
-
Schneider, C.1
-
119
-
-
85171863190
-
Non linear transformations of divergent and slowly convergent sequences
-
D. Shanks, Non linear transformations of divergent and slowly convergent sequences, J. Math. Phys. 34 (1955) 1-42.
-
(1955)
J. Math. Phys.
, vol.34
, pp. 1-42
-
-
Shanks, D.1
-
121
-
-
0023995271
-
Extrapolation vs. Projection methods for linear systems of equations
-
A. Sidi, Extrapolation vs. projection methods for linear systems of equations, J. Comput. Appl. Math. 22 (1988) 71-88.
-
(1988)
J. Comput. Appl. Math.
, vol.22
, pp. 71-88
-
-
Sidi, A.1
-
122
-
-
0001735812
-
On a generalization of the Richardson extrapolation process
-
A. Sidi, On a generalization of the Richardson extrapolation process, Numer. Math. 57 (1990) 365-377.
-
(1990)
Numer. Math.
, vol.57
, pp. 365-377
-
-
Sidi, A.1
-
124
-
-
84982371828
-
Altes und neues über numerische quadratur
-
E. Stiefel, Altes und neues über numerische Quadratur, Z. Angew. Math. Mech. 41 (1961) 408-413.
-
(1961)
Z. Angew. Math. Mech.
, vol.41
, pp. 408-413
-
-
Stiefel, E.1
-
125
-
-
0042435452
-
Sur la réduction en fraction continue d'une série procédant suivant les puissances descendantes d'une variable
-
T.J. Stieltjes, Sur la réduction en fraction continue d'une série procédant suivant les puissances descendantes d'une variable, Ann. Fac. Sci. Toulouse 3 (1889) H. 1-17.
-
(1889)
Ann. Fac. Sci. Toulouse
, vol.3
-
-
Stieltjes, T.J.1
-
126
-
-
0002593008
-
Recherches sur les fractions continues
-
T.J. Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse 8 (1894) 1-122.
-
(1894)
Ann. Fac. Sci. Toulouse
, vol.8
, pp. 1-122
-
-
Stieltjes, T.J.1
-
128
-
-
0039645920
-
Vector Padé approximants
-
R. Vichnevetsky and J. Vignes, eds., North-Holland, Amsterdam
-
J. van Iseghem, Vector Padé approximants, in: R. Vichnevetsky and J. Vignes, eds., Numerical Mathematics and Applications (North-Holland, Amsterdam, 1985) 73-77.
-
(1985)
Numerical Mathematics and Applications
, pp. 73-77
-
-
Van Iseghem, J.1
-
129
-
-
0023378740
-
Vector orthogonal relations. Vector QD algorithm
-
J. van Iseghem, Vector orthogonal relations. Vector QD algorithm, J. Comput. Appl. Math. 19 (1987) 141-150.
-
(1987)
J. Comput. Appl. Math.
, vol.19
, pp. 141-150
-
-
Van Iseghem, J.1
-
130
-
-
21844525774
-
Convergence of vectorial sequences. Applications
-
J. van Iseghem, Convergence of vectorial sequences. Applications, Numer. Math. 68 (1994) 549-562.
-
(1994)
Numer. Math.
, vol.68
, pp. 549-562
-
-
Van Iseghem, J.1
-
133
-
-
0343863901
-
Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series
-
E.J. Weniger, Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, Comput. Physics Reports 10 (1989) 189-371.
-
(1989)
Comput. Physics Reports
, vol.10
, pp. 189-371
-
-
Weniger, E.J.1
-
135
-
-
84968519483
-
n) transformation
-
n) transformation, MTAC 10 (1956) 91-96.
-
(1956)
MTAC
, vol.10
, pp. 91-96
-
-
Wynn, P.1
-
136
-
-
84971178657
-
On a procrustean technique for the numerical transformation of slowly convergent sequences and series
-
P. Wynn, On a procrustean technique for the numerical transformation of slowly convergent sequences and series, Proc. Cambridge Phil. Soc. 52 (1956) 663-671.
-
(1956)
Proc. Cambridge Phil. Soc.
, vol.52
, pp. 663-671
-
-
Wynn, P.1
-
137
-
-
84968509237
-
Acceleration techniques for iterated vector and matrix problems
-
P. Wynn, Acceleration techniques for iterated vector and matrix problems, Math. Comp. 16 (1962) 301-322.
-
(1962)
Math. Comp.
, vol.16
, pp. 301-322
-
-
Wynn, P.1
-
138
-
-
0001331675
-
Singular rules for certain nonlinear algorithms
-
P. Wynn, Singular rules for certain nonlinear algorithms, BIT 3 (1963) 175-195.
-
(1963)
BIT
, vol.3
, pp. 175-195
-
-
Wynn, P.1
|