-
1
-
-
77957214026
-
Decent property and global convergence of the Fletcher-Reeves method with in exact line search
-
M. AL-BAALI, Decent property and global convergence of the Fletcher-Reeves method with in exact line search, IMA J. Numer. Anal., 5 (1985), pp. 121-124.
-
(1985)
IMA J. Numer. Anal.
, vol.5
, pp. 121-124
-
-
Al-Baali, M.1
-
2
-
-
0022675909
-
An efficient line search for nonlinear least squares
-
M. AL-BAALI AND R. FLETCHER, An efficient line search for nonlinear least squares, J. Optim. Theory Appl., 48 (1984), pp. 359-377.
-
(1984)
J. Optim. Theory Appl.
, vol.48
, pp. 359-377
-
-
Al-Baali, M.1
Fletcher, R.2
-
4
-
-
0000024679
-
CUTE: Constrained and unconstrained testing environments
-
I. BONGARTZ, A. R. CONN, N. I. M. GOULD, AND P. L. TOINT, CUTE: Constrained and unconstrained testing environments, ACM Trans. Math. Software, 21 (1995), pp. 123-160.
-
(1995)
ACM Trans. Math. Software
, vol.21
, pp. 123-160
-
-
Bongartz, I.1
Conn, A.R.2
Gould, N.I.M.3
Toint, P.L.4
-
5
-
-
0141937371
-
Rate of convergence of several conjugate gradient algorithms
-
A. I. COHEN, Rate of convergence of several conjugate gradient algorithms, SIAM J. Numer. Anal., 9 (1972), pp. 248-259.
-
(1972)
SIAM J. Numer. Anal.
, vol.9
, pp. 248-259
-
-
Cohen, A.I.1
-
6
-
-
0013384323
-
Convergence properties of nonlinear conjugate gradient methods
-
Y. DAI, J. HAN, G. LIU, D. SUN, H. YIN, AND Y.-X. YUAN, Convergence properties of nonlinear conjugate gradient methods, SIAM J. Optim., 10 (1999), pp. 345-358.
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 345-358
-
-
Dai, Y.1
Han, J.2
Liu, G.3
Sun, D.4
Yin, H.5
Yuan, Y.-X.6
-
7
-
-
0034831849
-
New conjugate conditions and related nonlinear conjugate gradient methods
-
Y. H. DAI AND L. Z. LIAO, New conjugate conditions and related nonlinear conjugate gradient methods, Appl. Math. Optim., 43 (2001), pp. 87-101.
-
(2001)
Appl. Math. Optim.
, vol.43
, pp. 87-101
-
-
Dai, Y.H.1
Liao, L.Z.2
-
8
-
-
0033266804
-
A nonlinear conjugate gradient method with a strong global convergence property
-
Y. H. DAI AND Y. YUAN, A nonlinear conjugate gradient method with a strong global convergence property, SIAM J. Optim., 10 (1999), pp. 177-182.
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 177-182
-
-
Dai, Y.H.1
Yuan, Y.2
-
10
-
-
0035730017
-
An efficient hybrid conjugate gradient method for unconstrained optimization
-
Y. H. DAI AND Y. YUAN, An efficient hybrid conjugate gradient method for unconstrained optimization, Ann. Oper. Res., 103 (2001), pp. 33-47.
-
(2001)
Ann. Oper. Res.
, vol.103
, pp. 33-47
-
-
Dai, Y.H.1
Yuan, Y.2
-
11
-
-
28244496090
-
Benchmarking optimization software with performance profiles
-
E. D. DOLAN AND J. J. MORE, Benchmarking optimization software with performance profiles, Math. Programming, 91 (2002), pp. 201-213.
-
(2002)
Math. Programming
, vol.91
, pp. 201-213
-
-
Dolan, E.D.1
More, J.J.2
-
12
-
-
0000615669
-
Function minimization by conjugate gradients
-
R. FLETCHER AND C. REEVES, Function minimization by conjugate gradients, Comput. J., 7 (1964), pp. 149-154.
-
(1964)
Comput. J.
, vol.7
, pp. 149-154
-
-
Fletcher, R.1
Reeves, C.2
-
13
-
-
0002824920
-
Global convergence properties of conjugate gradient methods for optimization
-
J. C. GILBERT AND J. NOCEDAL, Global convergence properties of conjugate gradient methods for optimization, SIAM J. Optim., 2 (1992), pp. 21-42.
-
(1992)
SIAM J. Optim.
, vol.2
, pp. 21-42
-
-
Gilbert, J.C.1
Nocedal, J.2
-
14
-
-
0003859310
-
On steepest descent
-
A. A. GOLDSTEIN, On steepest descent, SIAM J. Control, 3 (1965), pp. 147-151.
-
(1965)
SIAM J. Control
, vol.3
, pp. 147-151
-
-
Goldstein, A.A.1
-
16
-
-
0024921769
-
A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method
-
W. W. HAGER, A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method, Comput. Math. Appl., 18 (1989), pp. 779-795.
-
(1989)
Comput. Math. Appl.
, vol.18
, pp. 779-795
-
-
Hager, W.W.1
-
18
-
-
33847738391
-
CG_DESCENT, A conjugate gradient method with guaranteed descent
-
to appear
-
W. W. HAGER AND H. ZHANG, CG_DESCENT, A conjugate gradient method with guaranteed descent, ACM Trans. Math. Software, to appear.
-
ACM Trans. Math. Software
-
-
Hager, W.W.1
Zhang, H.2
-
19
-
-
33745276908
-
A survey of nonlinear conjugate gradient methods
-
submitted
-
W. W. HAGER AND H. ZHANG A survey of nonlinear conjugate gradient methods, Pacific J. Optim., submitted.
-
Pacific J. Optim.
-
-
Hager, W.W.1
Zhang, H.2
-
20
-
-
33144464011
-
Two fundamental convergence theorems for nonlinear conjugate gradient methods and their applications
-
J. HAN, G. LIU, D. SUN, AND H. YIN, Two fundamental convergence theorems for nonlinear conjugate gradient methods and their applications, Acta Math. Appl. Sinica, 17 (2001), pp. 38-46.
-
(2001)
Acta Math. Appl. Sinica
, vol.17
, pp. 38-46
-
-
Han, J.1
Liu, G.2
Sun, D.3
Yin, H.4
-
21
-
-
33144489279
-
Convergence of Perry and Shanno's memoryless quasi-Newton method for nonconvex optimization problems
-
J. Y. HAN, G. H. LIU, AND H. X. YIN, Convergence of Perry and Shanno's memoryless quasi-Newton method for nonconvex optimization problems, OR Trans., 1 (1997), pp. 22-28.
-
(1997)
OR Trans.
, vol.1
, pp. 22-28
-
-
Han, J.Y.1
Liu, G.H.2
Yin, H.X.3
-
22
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
M. R. HESTENES AND E. L. STIEFEL, Methods of conjugate gradients for solving linear systems, J. Res. Nat. Bur. Standards, 49 (1952), pp. 409-436.
-
(1952)
J. Res. Nat. Bur. Standards
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.L.2
-
23
-
-
33144471605
-
-
Ph.D. dissertation, Department of Mathematics, Pennsylvania State University, State College, PA
-
H. HIRST, N-step Quadratic Convergence in the Conjugate Gradient Method, Ph.D. dissertation, Department of Mathematics, Pennsylvania State University, State College, PA, 1989.
-
(1989)
N-step Quadratic Convergence in the Conjugate Gradient Method
-
-
Hirst, H.1
-
24
-
-
0010903177
-
A view of line-searches
-
Optimization and Optimal Control, A. Auslender, W. Oettli, and J. Stoer, eds., Springer-Verlag, Heidelberg
-
C. LEMARECHAL, A view of line-searches, in Optimization and Optimal Control, Lecture Notes in Control and Inform. Sci. 30, A. Auslender, W. Oettli, and J. Stoer, eds., Springer-Verlag, Heidelberg, 1981, pp. 59-79.
-
(1981)
Lecture Notes in Control and Inform. Sci.
, vol.30
, pp. 59-79
-
-
Lemarechal, C.1
-
25
-
-
33646887390
-
On the limited memory BFGS method for large scale optimization
-
D. C. LIU AND J. NOCEDAL, On the limited memory BFGS method for large scale optimization, Math. Programming Ser. B, 45 (1989), pp. 503-528.
-
(1989)
Math. Programming Ser. B
, vol.45
, pp. 503-528
-
-
Liu, D.C.1
Nocedal, J.2
-
26
-
-
0003027493
-
Newton's method
-
G. H. Golub, ed., Mathematical Association of America, Washington, DC
-
J. J. MORE AND D. C. SORENSEN, Newton's method, in Studies in Numerical Analysis, G. H. Golub, ed., Mathematical Association of America, Washington, DC, 1984, pp. 29-82.
-
(1984)
Studies in Numerical Analysis
, pp. 29-82
-
-
More, J.J.1
Sorensen, D.C.2
-
27
-
-
0028511736
-
Line search algorithms with guaranteed sufficient decrease
-
J. J. MORÉ AND D. J. THUENTE, Line search algorithms with guaranteed sufficient decrease, ACM Trans. Math. Software, 20 (1994), pp. 286-307.
-
(1994)
ACM Trans. Math. Software
, vol.20
, pp. 286-307
-
-
Moré, J.J.1
Thuente, D.J.2
-
28
-
-
84966262179
-
Updating quasi-Newton matrices with limited storage
-
J. NOCEDAL, Updating quasi-Newton matrices with limited storage, Math. Comp., 35 (1980), pp. 773-782.
-
(1980)
Math. Comp.
, vol.35
, pp. 773-782
-
-
Nocedal, J.1
-
29
-
-
0012722590
-
Iterative solution of nonlinear equations in several variables
-
SIAM, Philadelphia
-
J. M. ORTEGA AND W. C. RHEINBOLDT, Iterative Solution of Nonlinear Equations in Several Variables, Classics in Appl. Math. 30, SIAM, Philadelphia, 2000.
-
(2000)
Classics in Appl. Math.
, vol.30
-
-
Ortega, J.M.1
Rheinboldt, W.C.2
-
30
-
-
33646334261
-
A class of conjugate gradient algorithms with a two step variable metric memory
-
Center for Mathematical Studies in Economics and Management Science, Northwestern University, Chicago
-
J. M. PERRY, A Class of Conjugate Gradient Algorithms with a Two Step Variable Metric Memory, Discussion paper 269, Center for Mathematical Studies in Economics and Management Science, Northwestern University, Chicago, 1977.
-
(1977)
Discussion Paper
, vol.269
-
-
Perry, J.M.1
-
32
-
-
0001931644
-
The conjugate gradient method in extreme problems
-
B. T. POLYAK, The conjugate gradient method in extreme problems, USSR Comp. Math. Math. Phys., 9 (1969), pp. 94-112.
-
(1969)
USSR Comp. Math. Math. Phys.
, vol.9
, pp. 94-112
-
-
Polyak, B.T.1
-
33
-
-
0001219541
-
Nonconvex minimization calculations and the conjugate gradient method
-
D. F. Griffiths, ed., Springer, Berlin
-
M. J. D. POWELL, Nonconvex minimization calculations and the conjugate gradient method, in Numerical Analysis, Lecture Notes in Math. 1066, D. F. Griffiths, ed., Springer, Berlin, 1984, pp. 122-141.
-
(1984)
Numerical Analysis, Lecture Notes in Math.
, vol.1066
, pp. 122-141
-
-
Powell, M.J.D.1
-
34
-
-
33846446220
-
Restart procedures for the conjugate gradient method
-
M. J. D. POWELL, Restart procedures for the conjugate gradient method, Math. Programming, 12 (1977), pp. 241-254.
-
(1977)
Math. Programming
, vol.12
, pp. 241-254
-
-
Powell, M.J.D.1
-
35
-
-
33144484753
-
-
Master's thesis, Department of Mathematics, University of Florida, Gainesville, FL
-
A. RAMASUBRAMANIAM, Unconstrained Optimization by a Globally Convergent High Precision Conjugate Gradient Method, Master's thesis, Department of Mathematics, University of Florida, Gainesville, FL, 2000.
-
(2000)
Unconstrained Optimization by a Globally Convergent High Precision Conjugate Gradient Method
-
-
Ramasubramaniam, A.1
-
36
-
-
0013495873
-
On the convergence of a new conjugate gradient algorithm
-
D. F. SHANNO, On the convergence of a new conjugate gradient algorithm, SIAM J. Numer. Anal., 15 (1978), pp. 1247-1257.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 1247-1257
-
-
Shanno, D.F.1
-
37
-
-
0022131390
-
Globally convergent conjugate gradient algorithms
-
D. F. SHANNO, Globally convergent conjugate gradient algorithms, Math. Programming, 33 (1985), pp. 61-67.
-
(1985)
Math. Programming
, vol.33
, pp. 61-67
-
-
Shanno, D.F.1
-
38
-
-
33144466023
-
Global convergence of the Polak-Ribière and Hestenes-Stiefel conjugate gradient methods for the unconstrained nonlinear optimization
-
C. WANG, J. HAN, AND L. WANG, Global convergence of the Polak-Ribière and Hestenes-Stiefel conjugate gradient methods for the unconstrained nonlinear optimization, OR Trans., 4 (2000), pp. 1-7.
-
(2000)
OR Trans.
, vol.4
, pp. 1-7
-
-
Wang, C.1
Han, J.2
Wang, L.3
-
40
-
-
0014492147
-
Convergence conditions for ascent methods
-
P. WOLFE, Convergence conditions for ascent methods, SIAM Rev., 11 (1969), pp. 226-235.
-
(1969)
SIAM Rev.
, vol.11
, pp. 226-235
-
-
Wolfe, P.1
-
41
-
-
0001796942
-
Convergence conditions for ascent methods. II: Some corrections
-
P. WOLFE, Convergence conditions for ascent methods. II: Some corrections, SIAM Rev., 13 (1971), pp. 185-188.
-
(1971)
SIAM Rev.
, vol.13
, pp. 185-188
-
-
Wolfe, P.1
-
42
-
-
0001854432
-
Nonlinear programming, computational methods
-
J. Abadie, ed., North-Holland, Amsterdam
-
G. ZOUTENDIJK, Nonlinear programming, computational methods, in Integer and Nonlinear Programming, J. Abadie, ed., North-Holland, Amsterdam, 1970, pp. 37-86.
-
(1970)
Integer and Nonlinear Programming
, pp. 37-86
-
-
Zoutendijk, G.1
|