-
1
-
-
0009961734
-
A new sparsity-preserving quasi-Newton update for solving nonlinear equations
-
I.D.L. Bogle and J.D. Perkins, A new sparsity-preserving quasi-Newton update for solving nonlinear equations, SIAM J. Scientific Statist. Comput. 11 (1990) 621-630.
-
(1990)
SIAM J. Scientific Statist. Comput.
, vol.11
, pp. 621-630
-
-
Bogle, I.D.L.1
Perkins, J.D.2
-
2
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
C.G. Broyden, A class of methods for solving nonlinear simultaneous equations, Math. Comp. 19 (1965) 577-593.
-
(1965)
Math. Comp.
, vol.19
, pp. 577-593
-
-
Broyden, C.G.1
-
3
-
-
84984075899
-
On superlinear convergence of some stable variants of the secant method
-
O. Burdakov, On superlinear convergence of some stable variants of the secant method, ZAMM 66 (1986) 615-622.
-
(1986)
ZAMM
, vol.66
, pp. 615-622
-
-
Burdakov, O.1
-
5
-
-
0002663672
-
A characterization of superlinear convergence and its applications to quasi-Newton methods
-
J.E. Dennis Jr. and J.J. Moré, A characterization of superlinear convergence and its applications to quasi-Newton methods, SIAM Rev. 19 (1977) 46-89.
-
(1977)
SIAM Rev.
, vol.19
, pp. 46-89
-
-
Dennis Jr., J.E.1
Moré, J.J.2
-
7
-
-
0000947761
-
Convergence theorems for least-change secant update methods
-
J.E. Dennis Jr. and H.F. Walker, Convergence theorems for least-change secant update methods, SIAM J. Numer. Anal. 18 (1981) 949-987.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 949-987
-
-
Dennis Jr., J.E.1
Walker, H.F.2
-
8
-
-
0001330894
-
Globally convergent inexact Newton methods
-
S.C. Eisenstat and H.F. Walker, Globally convergent inexact Newton methods, SIAM J. Optim. 4 (1994) 392-422.
-
(1994)
SIAM J. Optim.
, vol.4
, pp. 392-422
-
-
Eisenstat, S.C.1
Walker, H.F.2
-
9
-
-
0346721147
-
Solving systems of nonlinear equations by Broyden's method with projected updates
-
eds. O. Mangasarian, R. Meyer and S. Robinson (Academic Press, New York
-
D.M. Gay and R.B. Schnabel, Solving systems of nonlinear equations by Broyden's method with projected updates, in: Nonlinear Programming, Vol. 3, eds. O. Mangasarian, R. Meyer and S. Robinson (Academic Press, New York, 1978) pp. 245-281.
-
(1978)
Nonlinear Programming
, vol.3
, pp. 245-281
-
-
Gay, D.M.1
Schnabel, R.B.2
-
10
-
-
0348004939
-
The column-updating method for solving nonlinear equations in Hubert space
-
M.A. Gomes-Ruggiero and J.M. Martínez, The column-updating method for solving nonlinear equations in Hubert space, RAIRO Math. Modelling Numer. Anal. 26 (1992) 309-330.
-
(1992)
RAIRO Math. Modelling Numer. Anal.
, vol.26
, pp. 309-330
-
-
Gomes-Ruggiero, M.A.1
Martínez, J.M.2
-
12
-
-
0343100570
-
A globally convergent inexact-Newton method for solving reducible nonlinear systems of equations
-
N. Krejić and J.M. Martínez, A globally convergent inexact-Newton method for solving reducible nonlinear systems of equations, Optim. Methods Software 13 (2000) 11-34.
-
(2000)
Optim. Methods Software
, vol.13
, pp. 11-34
-
-
Krejić, N.1
Martínez, J.M.2
-
13
-
-
0033645092
-
Derivative-free line search and global convergence of Broyden-like method for nonlinear equations
-
D.-H. Li and M. Fukushima, Derivative-free line search and global convergence of Broyden-like method for nonlinear equations, Optim. Methods Software 13 (2000) 181-201.
-
(2000)
Optim. Methods Software
, vol.13
, pp. 181-201
-
-
Li, D.-H.1
Fukushima, M.2
-
14
-
-
84973022113
-
Convergence properties of the inverse column-updating method
-
V.L.R. Lopes and J.M. Martínez, Convergence properties of the inverse column-updating method, Optim. Methods Software 6 (1995) 127-144.
-
(1995)
Optim. Methods Software
, vol.6
, pp. 127-144
-
-
Lopes, V.L.R.1
Martínez, J.M.2
-
15
-
-
0031651231
-
Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations
-
L. Lukšan and J. Vlček, Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations, Optim. Methods Software 8 (1998) 185-199.
-
(1998)
Optim. Methods Software
, vol.8
, pp. 185-199
-
-
Lukšan, L.1
Vlček, J.2
-
16
-
-
0018689918
-
Three new algorithms based on the sequential secant method
-
J.M. Martínez, Three new algorithms based on the sequential secant method, BIT 19 (1979) 236-243.
-
(1979)
BIT
, vol.19
, pp. 236-243
-
-
Martínez, J.M.1
-
17
-
-
0021614679
-
A quasi-Newton method with modification of one column per iteration
-
J.M. Martínez, A quasi-Newton method with modification of one column per iteration, Computing 33 (1984) 353-362.
-
(1984)
Computing
, vol.33
, pp. 353-362
-
-
Martínez, J.M.1
-
18
-
-
0038411679
-
Algorithms for solving nonlinear systems of equations, in: Continuous Optimization
-
ed. E. Spedicato (Kluwer Academic, Dordrecht)
-
J.M. Martínez, Algorithms for solving nonlinear systems of equations, in: Continuous Optimization. The State of Art, ed. E. Spedicato (Kluwer Academic, Dordrecht, 1994) pp. 81-108.
-
(1994)
The State of Art
, pp. 81-108
-
-
Martínez, J.M.1
-
19
-
-
84966215619
-
Local convergence theory of inexact Newton methods based on structured least change updates
-
J.M. Martínez, Local convergence theory of inexact Newton methods based on structured least change updates, Math. Comp. 55 (1990) 143-167.
-
(1990)
Math. Comp.
, vol.55
, pp. 143-167
-
-
Martínez, J.M.1
-
20
-
-
0034545378
-
Practical quasi-Newton methods for solving nonlinear systems
-
J.M. Martínez, Practical quasi-Newton methods for solving nonlinear systems, J. Comput. Appl. Math. 124 (2000) 97-122.
-
(2000)
J. Comput. Appl. Math.
, vol.124
, pp. 97-122
-
-
Martínez, J.M.1
-
21
-
-
84972904922
-
An inverse column-updating method for solving large scale non-linear systems of equations
-
J.M. Martínez and M.C. Zambaldi, An inverse column-updating method for solving large scale non-linear systems of equations, Optim. Methods Software 1 (1992) 129-140.
-
(1992)
Optim. Methods Software
, vol.1
, pp. 129-140
-
-
Martínez, J.M.1
Zambaldi, M.C.2
-
22
-
-
0346113612
-
On the convergence of inexact quasi-Newton methods
-
I. Moret, On the convergence of inexact quasi-Newton methods, Internat. J. Comput. Math. 28 (1989) 117-137.
-
(1989)
Internat. J. Comput. Math.
, vol.28
, pp. 117-137
-
-
Moret, I.1
-
23
-
-
84966239443
-
Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian
-
L.K. Schubert, Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian, Math. Comp. 24 (1970) 27-30.
-
(1970)
Math. Comp.
, vol.24
, pp. 27-30
-
-
Schubert, L.K.1
-
24
-
-
34250502027
-
A modification of Newton's method
-
V.E. Shamanski, A modification of Newton's method, Ukrain Mat. Z. 19 (1967) 133-138.
-
(1967)
Ukrain Mat. Z.
, vol.19
, pp. 133-138
-
-
Shamanski, V.E.1
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