-
1
-
-
40149099101
-
Numerical comparison of conjugate gradient algorithms for unconstrained optimization
-
Andrei, N.: Numerical comparison of conjugate gradient algorithms for unconstrained optimization. Stud. Inform. Control 16, 333-352 (2007).
-
(2007)
Stud. Inform. Control
, vol.16
, pp. 333-352
-
-
Andrei, N.1
-
2
-
-
65349138571
-
An unconstrained optimization test functions collection
-
Andrei, N.: An unconstrained optimization test functions collection. Adv. Model. Optim. 10, 147-161 (2008).
-
(2008)
Adv. Model. Optim.
, vol.10
, pp. 147-161
-
-
Andrei, N.1
-
3
-
-
40149101096
-
Another hybrid conjugate gradient algorithm for unconstrained optimization
-
Andrei, N.: Another hybrid conjugate gradient algorithm for unconstrained optimization. Numer. Algorithms 47, 143-156 (2008).
-
(2008)
Numer. Algorithms
, vol.47
, pp. 143-156
-
-
Andrei, N.1
-
4
-
-
65349189925
-
A hybrid conjugate gradient algorithm for unconstrained optimization
-
Andrei, N.: A hybrid conjugate gradient algorithm for unconstrained optimization. JOTA 141, 249-264 (2009).
-
(2009)
Jota
, vol.141
, pp. 249-264
-
-
Andrei, N.1
-
5
-
-
77950655632
-
Performance profiles of conjugate gradient algorithms for unconstrained optimization
-
2, C. A. Floudas and P. M. Pardalos (Eds.), New York: Springer
-
Andrei, N.: Performance profiles of conjugate gradient algorithms for unconstrained optimization. In: Floudas, C. A., Pardalos, P. M. (eds.) Encyclopedia of Optimization, 2nd edn., vol. P, pp. 2938-2953. Springer, New York (2009).
-
(2009)
Encyclopedia of Optimization
, pp. 2938-2953
-
-
Andrei, N.1
-
6
-
-
67349265141
-
Acceleration of conjugate gradient algorithms for unconstrained optimization
-
Andrei, N.: Acceleration of conjugate gradient algorithms for unconstrained optimization. Appl. Math. Comput. 213, 361-369 (2009).
-
(2009)
Appl. Math. Comput.
, vol.213
, pp. 361-369
-
-
Andrei, N.1
-
8
-
-
0003741384
-
-
Mathematics and Computer Science Division, Argonne National Laboratory, Preprint MCS-P153-0692
-
Averick, B. M., Carter, R. G., Moré, J. J., Xue, G. L.: The MINPACK-2 Test Problem Collection. Mathematics and Computer Science Division, Argonne National Laboratory, Preprint MCS-P153-0692 (1992).
-
(1992)
The MINPACK-2 Test Problem Collection
-
-
Averick, B.M.1
Carter, R.G.2
Moré, J.J.3
Xue, G.L.4
-
9
-
-
0000024679
-
CUTE: Constrained and unconstrained testing environments
-
Bongartz, I., Conn, A. R., Gould, N. I. M., Toint, P. L.: CUTE: constrained and unconstrained testing environments. ACM Trans. Math. Softw. 21, 123-160 (1995).
-
(1995)
ACM Trans. Math. Softw.
, vol.21
, pp. 123-160
-
-
Bongartz, I.1
Conn, A.R.2
Gould, N.I.M.3
Toint, P.L.4
-
10
-
-
0017574977
-
On a problem of the theory of lubrication governed by a variational inequality
-
Cimatti, G.: On a problem of the theory of lubrication governed by a variational inequality. Appl. Math. Optim. 3, 227-242 (1977).
-
(1977)
Appl. Math. Optim.
, vol.3
, pp. 227-242
-
-
Cimatti, G.1
-
11
-
-
0035614397
-
New properties of a nonlinear conjugate gradient method
-
Dai, Y. H.: New properties of a nonlinear conjugate gradient method. Numer. Math. 89, 83-98 (2001).
-
(2001)
Numer. Math.
, vol.89
, pp. 83-98
-
-
Dai, Y.H.1
-
12
-
-
0034831849
-
New conjugacy conditions and related nonlinear conjugate gradient methods
-
Dai, Y. H., Liao, L. Z.: New conjugacy conditions and related nonlinear conjugate gradient methods. Appl. Math. Optim. 43, 87-101 (2001).
-
(2001)
Appl. Math. Optim.
, vol.43
, pp. 87-101
-
-
Dai, Y.H.1
Liao, L.Z.2
-
13
-
-
0033266804
-
A nonlinear conjugate gradient method with a strong global convergence property
-
Dai, Y. H., Yuan, Y.: A nonlinear conjugate gradient method with a strong global convergence property. SIAM J. Optim. 10, 177-182 (1999).
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 177-182
-
-
Dai, Y.H.1
Yuan, Y.2
-
14
-
-
0035730017
-
An efficient hybrid conjugate gradient method for unconstrained optimization
-
Dai, Y. H., Yuan, Y.: An efficient hybrid conjugate gradient method for unconstrained optimization. Ann. Oper. Res. 103, 33-47 (2001).
-
(2001)
Ann. Oper. Res.
, vol.103
, pp. 33-47
-
-
Dai, Y.H.1
Yuan, Y.2
-
15
-
-
0013384323
-
Convergence properties of nonlinear conjugate gradient methods
-
Dai, Y. H., Han, J. Y., Liu, G. H., Sun, D. F., Yin, X., Yuan, Y.: Convergence properties of nonlinear conjugate gradient methods. SIAM J. Optim. 10, 348-358 (1999).
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 348-358
-
-
Dai, Y.H.1
Han, J.Y.2
Liu, G.H.3
Sun, D.F.4
Yin, X.5
Yuan, Y.6
-
16
-
-
0001810214
-
The conjugate gradient method for linear and nonlinear operator equations
-
Daniel, J. W.: The conjugate gradient method for linear and nonlinear operator equations. SIAM J. Numer. Anal. 4, 10-26 (1967).
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, pp. 10-26
-
-
Daniel, J.W.1
-
17
-
-
28244496090
-
Benchmarking optimization software with performance profiles
-
Dolan, E. D., Moré, J. J.: Benchmarking optimization software with performance profiles. Math. Program. 91, 201-213 (2002).
-
(2002)
Math. Program.
, vol.91
, pp. 201-213
-
-
Dolan, E.D.1
Moré, J.J.2
-
19
-
-
0000615669
-
Function minimization by conjugate gradients
-
Fletcher, R., Reeves, C.: Function minimization by conjugate gradients. Comput. J. 7, 149-154 (1964).
-
(1964)
Comput. J.
, vol.7
, pp. 149-154
-
-
Fletcher, R.1
Reeves, C.2
-
20
-
-
0002824920
-
Global convergence properties of conjugate gradient methods for optimization
-
Gilbert, J. C., Nocedal, J.: Global convergence properties of conjugate gradient methods for optimization. SIAM J. Optim. 2, 21-42 (1992).
-
(1992)
SIAM J. Optim.
, vol.2
, pp. 21-42
-
-
Gilbert, J.C.1
Nocedal, J.2
-
22
-
-
0022766604
-
Numerical study of a relaxed variational problem from optimal design
-
Goodman, J., Kohn, R., Reyna, L.: Numerical study of a relaxed variational problem from optimal design. Comput. Methods Appl. Mech. Eng. 57, 107-127 (1986).
-
(1986)
Comput. Methods Appl. Mech. Eng.
, vol.57
, pp. 107-127
-
-
Goodman, J.1
Kohn, R.2
Reyna, L.3
-
23
-
-
33144465578
-
A new conjugate gradient method with guaranteed descent and an efficient line search
-
Hager, W. W., Zhang, H.: A new conjugate gradient method with guaranteed descent and an efficient line search. SIAM J. Optim. 16, 170-192 (2005).
-
(2005)
SIAM J. Optim.
, vol.16
, pp. 170-192
-
-
Hager, W.W.1
Zhang, H.2
-
24
-
-
33745276908
-
A survey of nonlinear conjugate gradient methods
-
Hager, W. W., Zhang, H.: A survey of nonlinear conjugate gradient methods. Pacific J. Optim. 2, 35-58 (2006).
-
(2006)
Pacific J. Optim.
, vol.2
, pp. 35-58
-
-
Hager, W.W.1
Zhang, H.2
-
25
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
Hestenes, M. R., Stiefel, E. L.: Methods of conjugate gradients for solving linear systems. J. Res. Natl. Bur. Stand. 49, 409-436 (1952).
-
(1952)
J. Res. Natl. Bur. Stand.
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.L.2
-
26
-
-
0026253861
-
Global convergence result for conjugate gradient methods
-
Hu, Y. F., Storey, C.: Global convergence result for conjugate gradient methods. J. Optim. Theory Appl. 71, 399-405 (1991).
-
(1991)
J. Optim. Theory Appl.
, vol.71
, pp. 399-405
-
-
Hu, Y.F.1
Storey, C.2
-
27
-
-
33847062894
-
New conjugacy condition and related new conjugate gradient methods for unconstrained optimization
-
Li, G., Tang, C., Wei, Z.: New conjugacy condition and related new conjugate gradient methods for unconstrained optimization. J. Comput. Appl. Math. 202, 523-539 (2007).
-
(2007)
J. Comput. Appl. Math.
, vol.202
, pp. 523-539
-
-
Li, G.1
Tang, C.2
Wei, Z.3
-
28
-
-
33646887390
-
On the limited memory BFGS method for large scale optimization
-
Liu, D. C., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Program. 45, 503-528 (1989).
-
(1989)
Math. Program.
, vol.45
, pp. 503-528
-
-
Liu, D.C.1
Nocedal, J.2
-
29
-
-
0026142704
-
Efficient generalized conjugate gradient algorithms, part 1: Theory
-
Liu, Y., Storey, C.: Efficient generalized conjugate gradient algorithms, part 1: theory. JOTA 69, 129-137 (1991).
-
(1991)
Jota
, vol.69
, pp. 129-137
-
-
Liu, Y.1
Storey, C.2
-
31
-
-
0009399116
-
Conjugate gradient methods and nonlinear optimization
-
L. Adams and J. L. Nazareth (Eds.), Philadelphia: SIAM
-
Nocedal, J.: Conjugate gradient methods and nonlinear optimization. In: Adams, L., Nazareth, J. L. (eds.) Linear and Nonlinear Conjugate Gradient-Related Methods, pp. 9-23. SIAM, Philadelphia (1996).
-
(1996)
Linear and Nonlinear Conjugate Gradient-Related Methods
, pp. 9-23
-
-
Nocedal, J.1
-
32
-
-
33751374854
-
-
Discussion Paper no. 229, Center for Mathematical Studies in Economics and Management Science, Northwestern University
-
Perry, A.: A modified conjugate gradient algorithm. Discussion Paper no. 229, Center for Mathematical Studies in Economics and Management Science, Northwestern University (1976).
-
(1976)
A modified conjugate gradient algorithm
-
-
Perry, A.1
-
33
-
-
0001903222
-
-
Rev. Francaise Informat Recherche Operationelle, 3e Année
-
Polak, E., Ribière, G.: Note Sur la Convergence de Directions Conjuguée, vol. 16, pp. 35-43. Rev. Francaise Informat Recherche Operationelle, 3e Année (1969).
-
(1969)
Note Sur la Convergence de Directions Conjuguée
, vol.16
, pp. 35-43
-
-
Polak, E.1
Ribière, G.2
-
34
-
-
0001931644
-
The conjugate gradient method in extreme problems
-
Polyak, B. T.: The conjugate gradient method in extreme problems. USSR Comput. Math. Math. Phys. 9, 94-112 (1969).
-
(1969)
USSR Comput. Math. Math. Phys.
, vol.9
, pp. 94-112
-
-
Polyak, B.T.1
-
35
-
-
33846446220
-
Restart procedures for the conjugate gradient method
-
Powell, M. J. D.: Restart procedures for the conjugate gradient method. Math. Program. 12, 241-254 (1977).
-
(1977)
Math. Program.
, vol.12
, pp. 241-254
-
-
Powell, M.J.D.1
-
36
-
-
0001219541
-
Nonconvex minimization calculations and the conjugate gradient method
-
Lecture Notes in Mathematics, Berlin: Springer
-
Powell, M. J. D.: Nonconvex minimization calculations and the conjugate gradient method. In: Numerical Analysis (Dundee, 1983). Lecture Notes in Mathematics, vol. 1066, pp. 122-141. Springer, Berlin (1984).
-
(1984)
Numerical Analysis (Dundee, 1983)
, vol.1066
, pp. 122-141
-
-
Powell, M.J.D.1
-
37
-
-
0025387662
-
Efficient hybrid conjugate gradient techniques
-
Touati-Ahmed, D., Storey, C.: Efficient hybrid conjugate gradient techniques. J. Optim. Theory Appl. 64, 379-397 (1990).
-
(1990)
J. Optim. Theory Appl.
, vol.64
, pp. 379-397
-
-
Touati-Ahmed, D.1
Storey, C.2
-
38
-
-
0014492147
-
Convergence conditions for ascent methods
-
Wolfe, P.: Convergence conditions for ascent methods. SIAM Rev. 11, 226-235 (1969).
-
(1969)
SIAM Rev.
, vol.11
, pp. 226-235
-
-
Wolfe, P.1
-
39
-
-
0033164194
-
New quasi-Newton equation and related methods for unconstrained optimization
-
Zhang, J. Z., Deng, N. Y., Chen, L. H.: New quasi-Newton equation and related methods for unconstrained optimization. J. Optim. Theory Appl. 102, 147-167 (1999).
-
(1999)
J. Optim. Theory Appl.
, vol.102
, pp. 147-167
-
-
Zhang, J.Z.1
Deng, N.Y.2
Chen, L.H.3
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