-
1
-
-
33745276908
-
A survey of nonlinear conjugate gradient methods
-
Hager, W.W., Zhang, H.: A survey of nonlinear conjugate gradient methods. Pac. J. Optim. 2, 35-58 (2006)
-
(2006)
Pac. J. Optim.
, vol.2
, pp. 35-58
-
-
Hager, W.W.1
Zhang, H.2
-
2
-
-
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
-
3
-
-
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
-
6
-
-
0001931644
-
The conjugate gradient method in extreme problems
-
Poliak, 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
-
-
Poliak, B.T.1
-
7
-
-
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
-
8
-
-
0026142704
-
Efficient generalized conjugate gradient algorithms, Part 1: Theory
-
Liu, Y., Storey, C.: Efficient generalized conjugate gradient algorithms, Part 1: Theory. J. Optim. Theory Appl. 69, 129-137 (1991)
-
(1991)
J. Optim. Theory Appl.
, vol.69
, pp. 129-137
-
-
Liu, Y.1
Storey, C.2
-
10
-
-
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
-
11
-
-
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
-
12
-
-
0035730017
-
An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization
-
DOI 10.1023/A:1012930416777
-
Dai, Y.H., Yuan, Y.: An efficient hybrid conjugate gradient method for unconstrained optimization. Ann. Oper. Res. 103, 33-47 (2001) (Pubitemid 33634399)
-
(2001)
Annals of Operations Research
, vol.103
, Issue.1-4
, pp. 33-47
-
-
Dai, Y.H.1
Yuan, Y.2
-
13
-
-
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
-
14
-
-
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
-
15
-
-
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
-
16
-
-
33846446220
-
Restart procedures of the conjugate gradient method
-
Powell, M.J.D.: Restart procedures of the conjugate gradient method. Math. Program. 2, 241-254 (1977)
-
(1977)
Math. Program.
, vol.2
, pp. 241-254
-
-
Powell, M.J.D.1
-
17
-
-
0027901858
-
Analysis on the conjugate gradient method
-
Yuan, Y.: Analysis on the conjugate gradient method. Optim. Methods Softw. 2, 19-29 (1993)
-
(1993)
Optim. Methods Softw.
, vol.2
, pp. 19-29
-
-
Yuan, Y.1
-
18
-
-
0001219541
-
Nonconvex minimization calculations and the conjugate gradient method
-
Springer Berlin
-
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 Lecture Notes in Mathematics
, vol.1066
, pp. 122-141
-
-
Powell, M.J.D.1
-
19
-
-
0004159714
-
-
Ph.D. Thesis, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Science
-
Dai, Y.H.: Analysis of conjugate gradient methods. Ph.D. Thesis, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Science (1997)
-
(1997)
Analysis of Conjugate Gradient Methods
-
-
Dai, Y.H.1
-
20
-
-
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
-
21
-
-
4043052940
-
On restart procedures for the conjugate gradient method
-
Dai, Y.H., Liao, L.Z., Li, D.: On restart procedures for the conjugate gradient method. Numer. Algorithms 35, 249-260 (2004) (Pubitemid 39072758)
-
(2004)
Numerical Algorithms
, vol.35
, Issue.2-4
, pp. 249-260
-
-
Dai, Y.-H.1
Liao, L.-Z.2
Li, D.3
-
22
-
-
0016926995
-
Algorithm 500, Minimization of unconstrained multivariate functions
-
Shanno, D.F., Phua, K.H.: Algorithm 500, Minimization of unconstrained multivariate functions. ACM Trans. Math. Softw. 2, 87-94 (1976)
-
(1976)
ACM Trans. Math. Softw.
, vol.2
, pp. 87-94
-
-
Shanno, D.F.1
Phua, K.H.2
-
23
-
-
0141467950
-
A Spectral Conjugate Gradient Method for Unconstrained Optimization
-
DOI 10.1007/s00245-001-0003-0
-
Birgin, E., Martínez, J.M.: A spectral conjugate gradient method for unconstrained optimization. Appl. Math. Optim. 43, 117-128 (2001) (Pubitemid 33644030)
-
(2001)
Applied Mathematics and Optimization
, vol.43
, Issue.2
, pp. 117-128
-
-
Birgin, E.G.1
Martinez, J.M.2
-
24
-
-
36148998344
-
Scaled conjugate gradient algorithms for unconstrained optimization
-
DOI 10.1007/s10589-007-9055-7
-
Andrei, N.: Scaled conjugate gradient algorithms for unconstrained optimization. Comput. Optim. Appl. 38, 401-416 (2007) (Pubitemid 350115179)
-
(2007)
Computational Optimization and Applications
, vol.38
, Issue.3
, pp. 401-416
-
-
Andrei, N.1
-
25
-
-
34147204085
-
Scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization
-
DOI 10.1080/10556780600822260, PII 777037750
-
Andrei, N.: Scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. Optim. Methods Softw. 22, 561-571 (2007) (Pubitemid 46580882)
-
(2007)
Optimization Methods and Software
, vol.22
, Issue.4
, pp. 561-571
-
-
Andrei, N.1
-
26
-
-
33947268766
-
A scaled BFGS preconditioned conjugate gradient algorithm for unconstrained optimization
-
DOI 10.1016/j.aml.2006.06.015, PII S0893965906002382
-
Andrei, N.: A scaled BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. Appl. Math. Lett. 20, 645-650 (2007) (Pubitemid 46420506)
-
(2007)
Applied Mathematics Letters
, vol.20
, Issue.6
, pp. 645-650
-
-
Andrei, N.1
-
27
-
-
0030534338
-
Convergence of the steepest descent method for minimizing quasiconvex functions
-
Kiwiel, K.C., Murty, K.: Convergence of the steepest descent method for minimizing quasiconvex functions. J. Optim. Theory Appl. 89(1), 221-226 (1996) (Pubitemid 126326490)
-
(1996)
Journal of Optimization Theory and Applications
, vol.89
, Issue.1
, pp. 221-226
-
-
Kiwiel, K.C.1
Murty, K.2
-
28
-
-
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
-
29
-
-
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
-
30
-
-
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
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