-
1
-
-
0025519753
-
Deriving collinear scaling algorithms as extensions of quasi-Newton methods and the local convergence of DFP and BFGS related collinear scaling algorithm
-
K.A. Ariyawansa (1990). Deriving collinear scaling algorithms as extensions of quasi-Newton methods and the local convergence of DFP and BFGS related collinear scaling algorithm, Math. Prog., 49, 23-48.
-
(1990)
Math. Prog.
, vol.49
, pp. 23-48
-
-
Ariyawansa, K.A.1
-
2
-
-
0042613335
-
Local and Q-superlinear convergence of a class of collinear scaling algorithms that extends quasi-Newton methods with Broyden's bounded-φ class of updates
-
K.A. Ariyawansa and D.T.M. Lau (1992). Local and Q-superlinear convergence of a class of collinear scaling algorithms that extends quasi-Newton methods with Broyden's bounded-φ class of updates. Optimization, 23, 323-339.
-
(1992)
Optimization
, vol.23
, pp. 323-339
-
-
Ariyawansa, K.A.1
Lau, D.T.M.2
-
4
-
-
0001051560
-
Conic approximation and collinear scaling for optimizers
-
W.C. Davidon (1980). Conic approximation and collinear scaling for optimizers, SIAM J. Numer. Anal., 17, 268-281.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 268-281
-
-
Davidon, W.C.1
-
5
-
-
0018505838
-
Two new unconstrained optimization algorithms which use function and gradient values
-
J.E. Dennis, Jr. and M.H.W. Mei (1979). Two new unconstrained optimization algorithms which use function and gradient values, J. Optim. Theory & Appl., 28, 453-482.
-
(1979)
J. Optim. Theory & Appl.
, vol.28
, pp. 453-482
-
-
Dennis Jr., J.E.1
Mei, M.H.W.2
-
6
-
-
84966259557
-
A characterization of superlinear convergence and its application to quasi-Newton methods
-
J.E. Dennis, Jr. and J.J. Moré (1974). A characterization of superlinear convergence and its application to quasi-Newton methods, Mathematics of Computation, 28, 549-560.
-
(1974)
Mathematics of Computation
, vol.28
, pp. 549-560
-
-
Dennis Jr., J.E.1
Moré, J.J.2
-
8
-
-
0000017341
-
An algorithm for solving linear constrained optimization problems
-
R. Fletcher (1972). An algorithm for solving linear constrained optimization problems, Math. Prog., 2, 133-195.
-
(1972)
Math. Prog.
, vol.2
, pp. 133-195
-
-
Fletcher, R.1
-
10
-
-
0000955796
-
Computing optimal local constrained step
-
D.M. Gay (1981). Computing optimal local constrained step, SIAM J. Sci. Stat. Comput., 2, 186-197.
-
(1981)
SIAM J. Sci. Stat. Comput.
, vol.2
, pp. 186-197
-
-
Gay, D.M.1
-
11
-
-
0020949717
-
Algorithm 611, subroutines for unconstrained minimization using a model/trust region approach
-
D.M. Gay (1983). Algorithm 611, subroutines for unconstrained minimization using a model/trust region approach, ACM Trans. Math. Softw., 9, 503-524.
-
(1983)
ACM Trans. Math. Softw.
, vol.9
, pp. 503-524
-
-
Gay, D.M.1
-
12
-
-
0002558941
-
Quasi-Newton methods for unconstrained optimization
-
P.E. Gill and W. Murray (1972). Quasi-Newton methods for unconstrained optimization, J. Inst. Math. Appl., 9, 91-108.
-
(1972)
J. Inst. Math. Appl.
, vol.9
, pp. 91-108
-
-
Gill, P.E.1
Murray, W.2
-
14
-
-
0003162836
-
Recent developments in algorithms and software for trust region methods
-
A. Bachem, M. Grötschel and B. Korte (eds.)
-
J.J. Moré (1982). Recent developments in algorithms and software for trust region methods, in Mathematical Programming, The State of the Art, Bonn, A. Bachem, M. Grötschel and B. Korte (eds.), 258-287.
-
(1982)
Mathematical Programming, the State of the Art, Bonn
, pp. 258-287
-
-
Moré, J.J.1
-
17
-
-
0002302301
-
Convergence properties of a class of minimization algorithms
-
O.L. Mangasarian, R.R. Meyer and S.M. Robinson eds., Academic Press, New York
-
M.J.D. Powell (1975). Convergence properties of a class of minimization algorithms, in O.L. Mangasarian, R.R. Meyer and S.M. Robinson eds., Nonlinear Programming 2, (Academic Press, New York).
-
(1975)
Nonlinear Programming
, vol.2
-
-
Powell, M.J.D.1
-
18
-
-
0021482384
-
On the global convergence of trust region algorithms for unconstrained minimization
-
M.J.D. Powell (1984). On the global convergence of trust region algorithms for unconstrained minimization, Mathematical Programming, 29, 297-303.
-
(1984)
Mathematical Programming
, vol.29
, pp. 297-303
-
-
Powell, M.J.D.1
-
19
-
-
0010181201
-
An iterative method for the minimax problem
-
P.M.Pardalos and D.Z.Du eds., Kulwer Academic Publisher, Boston, USA
-
L. Qi and Wenyu Sun (1995). An iterative method for the minimax problem, in P.M.Pardalos and D.Z.Du eds., Minimax and Applications, (Kulwer Academic Publisher, Boston, USA).
-
(1995)
Minimax and Applications
-
-
Qi, L.1
Sun, W.2
-
20
-
-
0022015590
-
A family of trust region based algorithms for unconstrained minimization with strong global convergence properties
-
G.A. Shultz, R.B. Schnabel and R.H. Byrd (1985). A family of trust region based algorithms for unconstrained minimization with strong global convergence properties, SIAM J. Numer. Anal., 22, 47-66.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 47-66
-
-
Shultz, G.A.1
Schnabel, R.B.2
Byrd, R.H.3
-
21
-
-
0009152231
-
The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization
-
D.C. Sorensen (1980). The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization, SIAM J. Numer. Anal., 17, 84-114.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 84-114
-
-
Sorensen, D.C.1
-
22
-
-
0346650318
-
Trust region method for unconstrained minimization
-
M.J.D.Powell ed., (Academic Press, London)
-
D.C. Sorensen (1982). Trust region method for unconstrained minimization, in Nonlinear Optimization 1981, M.J.D.Powell ed., (Academic Press, London), 29-46.
-
(1982)
Nonlinear Optimization
, vol.1981
, pp. 29-46
-
-
Sorensen, D.C.1
-
23
-
-
0001382978
-
Newton's method with a model trust region modification
-
D.C. Sorensen (1982). Newton's method with a model trust region modification, SIAM J. Numer. Anal., 19, 409-126.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 409-1126
-
-
Sorensen, D.C.1
-
27
-
-
0002765829
-
On a subproblem of trust region algorithms for constrained optimization
-
Y. Yuan (1990). On a subproblem of trust region algorithms for constrained optimization, Math. Prog., 47, 53-63.
-
(1990)
Math. Prog.
, vol.47
, pp. 53-63
-
-
Yuan, Y.1
|