-
1
-
-
34447609127
-
On infinitely many algorithms for solving equations
-
Schröder, E. (1870): On infinitely many algorithms for solving equations (German), Mathematische Annalen 2, 317-365
-
(1870)
Mathematische Annalen
, vol.2
, pp. 317-365
-
-
Schröder, E.1
-
2
-
-
0002836895
-
Halley's methods for solving equations
-
Bateman, H. ( 1938): Halley's methods for solving equations, Amer. Math. Monthly 45, 11-17
-
(1938)
Amer. Math. Monthly
, vol.45
, pp. 11-17
-
-
Bateman, H.1
-
3
-
-
0040406568
-
A variation of Newton's method
-
Frame, J.S. (1944): A variation of Newton's method, Amer. Math. Monthly 51, 36-38
-
(1944)
Amer. Math. Monthly
, vol.51
, pp. 36-38
-
-
Frame, J.S.1
-
4
-
-
0041000686
-
Another variation of Newton's method
-
Stewart, J.K. ( 1951): Another variation of Newton's method, Amer. Math. Monthly 58, 331-334
-
(1951)
Amer. Math. Monthly
, vol.58
, pp. 331-334
-
-
Stewart, J.K.1
-
5
-
-
0039814053
-
The solution of equations by continued fractions
-
Frame, J.S. (1953): The solution of equations by continued fractions, Amer. Math. Monthly 60, 293-305
-
(1953)
Amer. Math. Monthly
, vol.60
, pp. 293-305
-
-
Frame, J.S.1
-
6
-
-
84946393418
-
A generalization of Newton's approximation procedure
-
Kiss, I. (1954): A generalization of Newton's approximation procedure (German), Z. Angew. Math. Mech. 34, 68-69
-
(1954)
Z. Angew. Math. Mech.
, vol.34
, pp. 68-69
-
-
Kiss, I.1
-
7
-
-
0039222151
-
One more correction formula
-
Snyder, R.W. (1955): One more correction formula, Amer. Math. Monthly 62, 722-725
-
(1955)
Amer. Math. Monthly
, vol.62
, pp. 722-725
-
-
Snyder, R.W.1
-
9
-
-
0041000677
-
Sur une nouvelle généralisation de la méthode des hyperboles tangentes pour la résolution des équations functionnelles nonlinéaires définies dans l'espace de Banach
-
Jankó, B. (1963): Sur une nouvelle généralisation de la méthode des hyperboles tangentes pour la résolution des équations functionnelles nonlinéaires définies dans l'espace de Banach, Ann. Polon. Math. 12, 279-288
-
(1963)
Ann. Polon. Math.
, vol.12
, pp. 279-288
-
-
Jankó, B.1
-
10
-
-
0040444381
-
The method of tangent hyperbolas
-
Šafiev, R.A. (1963): The method of tangent hyperbolas, Soviet Math. Dokl. 4, 482-485
-
(1963)
Soviet Math. Dokl.
, vol.4
, pp. 482-485
-
-
Šafiev, R.A.1
-
11
-
-
26144480865
-
On a modification of the method of tangent hyperbolas
-
Šafiev, R.A. (1963): On a modification of the method of tangent hyperbolas (Russian), Dokl. Akad. Nauk Azerbaidžan 19, 3-8
-
(1963)
Dokl. Akad. Nauk Azerbaidžan
, vol.19
, pp. 3-8
-
-
Šafiev, R.A.1
-
14
-
-
0040406567
-
Laguerre's method and a circle which contains at least one zero of a polynomial
-
Kahan, W. (1967): Laguerre's method and a circle which contains at least one zero of a polynomial, SIAM J. Numer. Anal. 4(3), 474-482
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, Issue.3
, pp. 474-482
-
-
Kahan, W.1
-
15
-
-
26144475505
-
Some theorems on the procedure of tangent hyperbolas
-
Döring, B. (1970): Some theorems on the procedure of tangent hyperbolas (German), Apl. Mat. 15, 418-464
-
(1970)
Apl. Mat.
, vol.15
, pp. 418-464
-
-
Döring, B.1
-
18
-
-
0016035394
-
Optimal error bounds for the Newton-Kantorovich theorem
-
Gragg, W.B., R.A. Tapia (1974): Optimal error bounds for the Newton-Kantorovich theorem, SIAM J. Numer. Anal. 11, 10-13
-
(1974)
SIAM J. Numer. Anal.
, vol.11
, pp. 10-13
-
-
Gragg, W.B.1
Tapia, R.A.2
-
19
-
-
0002521058
-
A note on the convergence of Newton's method
-
Rail, L.B. (1974): A Note On the Convergence of Newton's Method, SIAM J. Numer. Anal. 11(1), 34-36
-
(1974)
SIAM J. Numer. Anal.
, vol.11
, Issue.1
, pp. 34-36
-
-
Rail, L.B.1
-
20
-
-
33847195487
-
On the global convergence of Halley's iteration formula
-
Davies, M., B. Dawson (1975): On the global convergence of Halley's iteration formula, Numer. Math. 24, 133-135
-
(1975)
Numer. Math.
, vol.24
, pp. 133-135
-
-
Davies, M.1
Dawson, B.2
-
21
-
-
0013201091
-
On Halley's variation of Newton's method
-
Brown, G.H., Jr. (1977): On Halley's variation of Newton's method, Amer. Math. Monthly 84, 726-728
-
(1977)
Amer. Math. Monthly
, vol.84
, pp. 726-728
-
-
Brown G.H., Jr.1
-
22
-
-
0003275962
-
A family of root finding methods
-
Hansen, E., M. Patrick (1977): A family of root finding methods, Numer. Math. 27, 257-269
-
(1977)
Numer. Math.
, vol.27
, pp. 257-269
-
-
Hansen, E.1
Patrick, M.2
-
23
-
-
0006794971
-
The Kantorovich theorem with optimal error bounds
-
Miel, G.J. (1979): The Kantorovich theorem with optimal error bounds, Amer. Math. Monthly 86, 212-215
-
(1979)
Amer. Math. Monthly
, vol.86
, pp. 212-215
-
-
Miel, G.J.1
-
24
-
-
0018456412
-
Convergence and complexity of Newton iteration for operator equations
-
Traub, J.F., H. Wozniakowski (1979): Convergence and complexity of Newton iteration for operator equations, J. Assoc. Comp. Mach. 29, 250-258
-
(1979)
J. Assoc. Comp. Mach.
, vol.29
, pp. 250-258
-
-
Traub, J.F.1
Wozniakowski, H.2
-
25
-
-
0019144229
-
A family of one-point iteration formulae for finding roots
-
Popovski, D.B. (1980): A family of one-point iteration formulae for finding roots, Internat. J. Comput. Math. 8, 85-88
-
(1980)
Internat. J. Comput. Math.
, vol.8
, pp. 85-88
-
-
Popovski, D.B.1
-
26
-
-
0001717185
-
On the convergence of Halley's method
-
Alefeld, G. (1981): On the convergence of Halley's method, Amer. Math. Monthly 88, 530-536
-
(1981)
Amer. Math. Monthly
, vol.88
, pp. 530-536
-
-
Alefeld, G.1
-
27
-
-
0041000675
-
The convergence of Halley's method and its optimal error bounds
-
Zheng, S. (1982): The convergence of Halley's method and its optimal error bounds (Chinese), Journal of Hangzhou University 9(3), 285-289
-
(1982)
Journal of Hangzhou University
, vol.9
, Issue.3
, pp. 285-289
-
-
Zheng, S.1
-
28
-
-
0003655414
-
-
Addision-Wesley, Reading, Massachusetts
-
Lang, S. (1983): Real Analysis, Addision-Wesley, Reading, Massachusetts
-
(1983)
Real Analysis
-
-
Lang, S.1
-
29
-
-
0000132229
-
On Halley's iteration method
-
Gander, W. (1985): On Halley's iteration method, Amer. Math. Monthly 92, 131-134
-
(1985)
Amer. Math. Monthly
, vol.92
, pp. 131-134
-
-
Gander, W.1
-
30
-
-
0039222149
-
-
preprint, University of California, Berkeley
-
Kahan, W. (1992): Notes On Laguerre's Iteration, preprint, University of California, Berkeley
-
(1992)
Notes on Laguerre's Iteration
-
-
Kahan, W.1
-
31
-
-
0043268206
-
Laguerre's iteration in solving the symmetric tridiagonal eigenproblem-revisited
-
Li, T.Y., Z. Zeng (1994): Laguerre's iteration in solving the symmetric tridiagonal eigenproblem-revisited, SIAM J. Sci. Comput. 15(5), 1445-1473
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, Issue.5
, pp. 1445-1473
-
-
Li, T.Y.1
Zeng, Z.2
-
33
-
-
14944351893
-
On the geometry of Halley's method
-
Scavo, T.R., J.B. Thoo (1995): On the Geometry of Halley's Method, Amer. Math. Monthly 102(5), 417-426
-
(1995)
Amer. Math. Monthly
, vol.102
, Issue.5
, pp. 417-426
-
-
Scavo, T.R.1
Thoo, J.B.2
|