-
3
-
-
0000024679
-
CUTE: Constrained and unconstrained testing environment
-
I. BONGARTZ, A. R. CONN, N. GOULD, AND P. L. TOINT, CUTE: Constrained and unconstrained testing environment, 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.3
Toint, P.L.4
-
4
-
-
0039545486
-
-
Tech. Report TR 1989CS-3, Mathematics, Statistics and Computing Centre, Dalhousie University, Halifax (CDN)
-
A. BUCKLEY, Test functions for unconstrained minimization, Tech. Report TR 1989CS-3, Mathematics, Statistics and Computing Centre, Dalhousie University, Halifax (CDN), 1989.
-
(1989)
Test Functions for Unconstrained Minimization
-
-
Buckley, A.1
-
5
-
-
0028319529
-
Representations of quasi-Newton matrices and their use in limited memory methods
-
R. H. BYRD, J. NOCEDAL, AND R. B. SCHNABEL, Representations of quasi-Newton matrices and their use in limited memory methods, Math. Programming, 63 (1994), pp. 129-156.
-
(1994)
Math. Programming
, vol.63
, pp. 129-156
-
-
Byrd, R.H.1
Nocedal, J.2
Schnabel, R.B.3
-
6
-
-
0040057372
-
-
Tech. Report 88/4, Department of Mathematics, FUNDP, Namur, Belgium, Cited in [1, 2]
-
A. CONN, N. GOULD, M. LESCRENIER, AND P. TOINT, Performance of a multifrontal scheme for partially separable optimization, Tech. Report 88/4, Department of Mathematics, FUNDP, Namur, Belgium, 1988. Cited in [1, 2].
-
(1988)
Performance of a Multifrontal Scheme for Partially Separable Optimization
-
-
Conn, A.1
Gould, N.2
Lescrenier, M.3
Toint, P.4
-
7
-
-
0020763823
-
Truncated-Newton algorithms for large-scale unconstrained optimization
-
R. S. DEMBO AND T. STEIHAUG, Truncated-Newton algorithms for large-scale unconstrained optimization, Math. Programming, 26 (1983), pp. 190-212.
-
(1983)
Math. Programming
, vol.26
, pp. 190-212
-
-
Dembo, R.S.1
Steihaug, T.2
-
8
-
-
0004041275
-
Numerical methods for unconstrained optimization and nonlinear equations
-
Prentice-Hall, Englewood Cliffs, NJ, Reprinted by Society for Industrial and Applied Mathematics, Philadelphia, PA
-
J. DENNIS AND R. B. SCHNABEL, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Series in Computational Mathematics, Prentice-Hall, Englewood Cliffs, NJ, 1983. Reprinted by Society for Industrial and Applied Mathematics, Philadelphia, PA, 1996.
-
(1983)
Series in Computational Mathematics
-
-
Dennis, J.1
Schnabel, R.B.2
-
9
-
-
0040730832
-
An optimal positive definite update for sparse Hessian matrices
-
Technical report, University of Dundee, Cited in [1, 2]
-
R. FLETCHER, An optimal positive definite update for sparse Hessian matrices, Numerical Analysis NA/145, Technical report, University of Dundee, 1992. Cited in [1, 2].
-
(1992)
Numerical Analysis NA/145
-
-
Fletcher, R.1
-
10
-
-
85033893083
-
-
L-BFGS with Variations home page
-
T. GIBSON, D. O'LEARY, AND L. NAZARETH, L-BFGS with Variations home page, http://www.cs.umd.edu/users/oleary/LBFGS/index.html (1996).
-
(1996)
-
-
Gibson, T.1
O'Leary, D.2
Nazareth, L.3
-
11
-
-
0039755891
-
Conjugate-gradient methods for large-scale nonlinear optimization
-
Systems Optimization Laboratory, Department of Operations Research, Stanford University, Stanford, CA
-
P. E. GILL AND W. MURRAY, Conjugate-gradient methods for large-scale nonlinear optimization, Tech. Report SOL 79-15, Systems Optimization Laboratory, Department of Operations Research, Stanford University, Stanford, CA, 1979.
-
(1979)
Tech. Report SOL 79-15
-
-
Gill, P.E.1
Murray, W.2
-
13
-
-
85033875351
-
-
Private communication to authors of [3]. Cited in [1, 2]
-
N. GOULD, Private communication to authors of [3], 1989. Cited in [1, 2].
-
(1989)
-
-
Gould, N.1
-
14
-
-
0013358480
-
Partitioned variable metric updates for large structured optimization problems
-
A. GRIEWANK AND P. L. TOINT, Partitioned variable metric updates for large structured optimization problems, Numer. Math., 39 (1982), pp. 119-137.
-
(1982)
Numer. Math.
, vol.39
, pp. 119-137
-
-
Griewank, A.1
Toint, P.L.2
-
15
-
-
0004599528
-
-
Tech. Report CU-CS-489-90, Department of Computer Science, University of Colorado at Boulder
-
H. KHALFAN, R. BYRD, AND R. SCHNABEL, A theoretical and experimental study of the symmetric rank one update, Tech. Report CU-CS-489-90, Department of Computer Science, University of Colorado at Boulder, 1990.
-
(1990)
A Theoretical and Experimental Study of the Symmetric Rank One Update
-
-
Khalfan, H.1
Byrd, R.2
Schnabel, R.3
-
16
-
-
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, 45 (1989), pp. 503-528.
-
(1989)
Math. Programming
, vol.45
, pp. 503-528
-
-
Liu, D.C.1
Nocedal, J.2
-
17
-
-
0003488911
-
-
Addison-Wesley, Reading, MA
-
D. G. LUENBERGER, Linear and Nonlinear Programming, 2nd ed., Addison-Wesley, Reading, MA, 1984.
-
(1984)
Linear and Nonlinear Programming, 2nd Ed.
-
-
Luenberger, D.G.1
-
18
-
-
84976845336
-
Testing unconstrained optimization software
-
J. J. MORÉ, B. S. GARBOW, AND K. E. HILLSTROM, Testing unconstrained optimization software, ACM Trans. Math. Software, 7 (1981), pp. 17-41.
-
(1981)
ACM Trans. Math. Software
, vol.7
, pp. 17-41
-
-
Moré, J.J.1
Garbow, B.S.2
Hillstrom, K.E.3
-
19
-
-
0021481124
-
Newton-type minimization via the Lanczos process
-
S. NASH, Newton-type minimization via the Lanczos process, SIAM J. Numer. Anal., 21 (1984), pp. 770-788.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 770-788
-
-
Nash, S.1
-
20
-
-
0001684438
-
A numerical study of the limited memory BFGS method and the truncated-Newton method for large scale optimization
-
S. G. NASH AND J. NOCEDAL, A numerical study of the limited memory BFGS method and the truncated-Newton method for large scale optimization, SIAM J. Optim., 1 (1991), pp. 358-372.
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 358-372
-
-
Nash, S.G.1
Nocedal, J.2
-
21
-
-
0000554172
-
A relationship between BFGS and conjugate gradient algorithms and its implications for new algorithms
-
L. NAZARETH, A relationship between BFGS and conjugate gradient algorithms and its implications for new algorithms, SIAM J. Numer. Anal., 16 (1979), pp. 794-800.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 794-800
-
-
Nazareth, L.1
-
22
-
-
85033876568
-
-
unpublished manuscript, University of California at Berkeley, Berkeley, CA
-
L. NAZARETH, On the BFGS Method, unpublished manuscript, University of California at Berkeley, Berkeley, CA, 1981.
-
(1981)
On the BFGS Method
-
-
Nazareth, L.1
-
23
-
-
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
-
24
-
-
84972047841
-
Theory of algorithms for unconstrained optimization
-
Cambridge University Press, London
-
J. NOCEDAL, Theory of algorithms for unconstrained optimization, in Acta Numerica (1991), Cambridge University Press, London, 1992, pp. 199-242.
-
(1991)
Acta Numerica
, pp. 199-242
-
-
Nocedal, J.1
-
25
-
-
0020129823
-
A discrete Newton algorithm for minimizing a function of many variables
-
D. P. O'LEARY, A discrete Newton algorithm for minimizing a function of many variables, Math. Programming, 23 (1982), pp. 20-33.
-
(1982)
Math. Programming
, vol.23
, pp. 20-33
-
-
O'Leary, D.P.1
-
26
-
-
0039478111
-
Self-scaling variable metric algorithms, Part II: Implementation and experiments
-
Cited in [1, 2]
-
S. OREN, Self-scaling variable metric algorithms, Part II: Implementation and experiments, Management Science, 20 (1974), pp. 863-874. Cited in [1, 2].
-
(1974)
Management Science
, vol.20
, pp. 863-874
-
-
Oren, S.1
-
27
-
-
0038952789
-
Quadratic termination properties of minimization algorithms I: Statement and discussion of results
-
M. J. D. POWELL, Quadratic termination properties of minimization algorithms I: Statement and discussion of results, J. Inst. Math. Appl., 10 (1972), pp. 333-342.
-
(1972)
J. Inst. Math. Appl.
, vol.10
, pp. 333-342
-
-
Powell, M.J.D.1
-
28
-
-
0000618748
-
Conjugate gradient methods with inexact line searches
-
D. F. SHANNO, Conjugate gradient methods with inexact line searches, Math. Oper. Res., 3 (1978), pp. 244-256.
-
(1978)
Math. Oper. Res.
, vol.3
, pp. 244-256
-
-
Shanno, D.F.1
-
29
-
-
84966243875
-
Some numerical results using a sparse matrix updating formula in unconstrained optimization
-
P. TOINT, Some numerical results using a sparse matrix updating formula in unconstrained optimization, Math. Comput., 32 (1978), pp. 839-852.
-
(1978)
Math. Comput.
, vol.32
, pp. 839-852
-
-
Toint, P.1
-
30
-
-
0039545483
-
-
Tech. Report 83/4, Department of Mathematics, FUNDP, Namur, Belgium, Cited in [1, 2]
-
P. TOINT, Test problems for partially separable optimization and results for the routine PSP-MIN, Tech. Report 83/4, Department of Mathematics, FUNDP, Namur, Belgium, 1983. Cited in [1, 2].
-
(1983)
Test Problems for Partially Separable Optimization and Results for the Routine PSP-MIN
-
-
Toint, P.1
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