-
1
-
-
34547930273
-
Finding optimal algorithmic parameters using derivative-free optimization
-
DOI 10.1137/040620886
-
C. Audet D. Orban 2006 Finding optimal algorithmic parameters using derivative-free optimization SIAM J. Control Optim. 17 3 642 664 2257203 1128.90060 (Pubitemid 47265166)
-
(2006)
SIAM Journal on Optimization
, vol.17
, Issue.3
, pp. 642-664
-
-
Audet, C.1
Orban, D.2
-
2
-
-
77951840062
-
Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares
-
2608356 1218.90182 10.1137/080732432
-
S. Bellavia C. Cartis N.I.M. Gould B. Morini Ph.L. Toint 2010 Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares SIAM J. Numer. Anal. 48 1 29 2608356 1218.90182 10.1137/080732432
-
(2010)
SIAM J. Numer. Anal.
, vol.48
, pp. 1-29
-
-
Bellavia, S.1
Cartis, C.2
Gould, N.I.M.3
Morini, B.4
Toint, Ph.L.5
-
3
-
-
79952763936
-
Adaptive cubic overestimation methods for unconstrained optimization. Part I: Motivation, convergence and numerical results
-
2776701 1229.90192 10.1007/s10107-009-0286-5
-
C. Cartis N.I.M. Gould Ph.L. Toint 2011 Adaptive cubic overestimation methods for unconstrained optimization. Part I: Motivation, convergence and numerical results Math. Program., Ser. A 127 2 245 295 2776701 1229.90192 10.1007/s10107-009-0286-5
-
(2011)
Math. Program., Ser. A
, vol.127
, Issue.2
, pp. 245-295
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, Ph.L.3
-
4
-
-
81255179401
-
Adaptive cubic overestimation methods for unconstrained optimization. Part II: Worst-case function- and derivative-evaluation complexity
-
10.1007/s10107-009-0337-y 2855872 1229.90193 10.1007/s10107-009-0337-y
-
C. Cartis N.I.M. Gould Ph.L. Toint 2011 Adaptive cubic overestimation methods for unconstrained optimization. Part II: Worst-case function- and derivative-evaluation complexity Math. Program. Ser. A 130 2 295 319 10.1007/s10107-009-0337-y 2855872 1229.90193 10.1007/s10107-009-0337-y
-
(2011)
Math. Program. Ser. A
, vol.130
, Issue.2
, pp. 295-319
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, Ph.L.3
-
5
-
-
82555189756
-
Complexity bounds for second-order optimality in unconstrained optimization
-
10.1016/j.jco.2011.06.001 2871787 05996047 10.1016/j.jco.2011.06.001
-
C. Cartis N.I.M. Gould Ph.L. Toint 2012 Complexity bounds for second-order optimality in unconstrained optimization J. Complex 28 1 93 108 10.1016/j.jco.2011.06.001 2871787 05996047 10.1016/j.jco.2011.06.001
-
(2012)
J. Complex
, vol.28
, Issue.1
, pp. 93-108
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, Ph.L.3
-
6
-
-
79251493375
-
On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization
-
2721157 1211.90225
-
C. Cartis N.I.M. Gould Ph.L. Toint 2010 On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization SIAM J. Control Optim. 20 6 2833 2852 2721157 1211.90225
-
(2010)
SIAM J. Control Optim.
, vol.20
, Issue.6
, pp. 2833-2852
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, Ph.L.3
-
7
-
-
61849098346
-
Trust-region and other regularisations of linear least-squares problems
-
2486127 1165.65019 10.1007/s10543-008-0206-8
-
C. Cartis N.I.M. Gould Ph.L. Toint 2009 Trust-region and other regularisations of linear least-squares problems BIT 49 1 21 53 2486127 1165.65019 10.1007/s10543-008-0206-8
-
(2009)
BIT
, vol.49
, Issue.1
, pp. 21-53
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, Ph.L.3
-
9
-
-
28244496090
-
Benchmarking optimization software with performance profiles
-
DOI 10.1007/s101070100263
-
E.D. Dolan J.J. Moré 2002 Benchmarking optimization software with performance profiles Math. Program. 91 201 213 1875515 1049.90004 10.1007/s101070100263 (Pubitemid 44744777)
-
(2002)
Mathematical Programming, Series B
, vol.91
, Issue.2
, pp. 201-213
-
-
Dolan, E.D.1
More, J.J.2
-
11
-
-
80052725989
-
A subspace minimization method for the trust-region step
-
2587735 1195.49042
-
J.B. Erway P.E. Gill 2009 A subspace minimization method for the trust-region step SIAM J. Control Optim. 20 1439 1461 2587735 1195.49042
-
(2009)
SIAM J. Control Optim.
, vol.20
, pp. 1439-1461
-
-
Erway, J.B.1
Gill, P.E.2
-
12
-
-
70450196647
-
Iterative methods for finding a trust-region step
-
2534778 1189.49049
-
J.B. Erway P.E. Gill J.D. Griffin 2009 Iterative methods for finding a trust-region step SIAM J. Control Optim. 20 1110 1131 2534778 1189.49049
-
(2009)
SIAM J. Control Optim.
, vol.20
, pp. 1110-1131
-
-
Erway, J.B.1
Gill, P.E.2
Griffin, J.D.3
-
13
-
-
0000288016
-
Calculating the singular values and pseudo-inverse of a matrix
-
183105
-
G.H. Golub W. Kahan 1965 Calculating the singular values and pseudo-inverse of a matrix SIAM J. Numer. Anal. 2 2 205 224 183105
-
(1965)
SIAM J. Numer. Anal.
, vol.2
, Issue.2
, pp. 205-224
-
-
Golub, G.H.1
Kahan, W.2
-
14
-
-
26444490172
-
Sensitivity of trust-region algorithms to their parameters
-
DOI 10.1007/s10288-005-0065-y
-
N.I.M. Gould D. Orban A. Sartenaer Ph.L. Toint 2005 Sensitivity of trust-region algorithms to their parameters 4OR 3 3 227 241 2177962 1086.65060 10.1007/s10288-005-0065-y (Pubitemid 41436933)
-
(2005)
4OR
, vol.3
, Issue.3
, pp. 227-241
-
-
Gould, N.I.M.1
Orban, D.2
Sartenaer, A.3
Toint, P.L.4
-
15
-
-
0033437435
-
Solving the trust-region subproblem using the Lanczos method
-
N.I.M. Gould S. Lucidi M. Roma Ph.L. Toint 1999 Solving the trust-region subproblem using the Lanczos method SIAM J. Control Optim. 9 2 504 525 1686795 1047.90510 (Pubitemid 129489293)
-
(1999)
SIAM Journal on Optimization
, vol.9
, Issue.2
, pp. 504-525
-
-
Gould, N.I.M.1
Lucidi, S.2
Roma, M.3
Toint, P.L.4
-
16
-
-
2442598318
-
CUTEr, a constrained and unconstrained testing environment, revisited
-
2077337 1068.90526 10.1145/962437.962439
-
N.I.M. Gould D. Orban Ph.L. Toint 2003 CUTEr, a constrained and unconstrained testing environment, revisited ACM Trans. Math. Softw. 29 4 373 394 2077337 1068.90526 10.1145/962437.962439
-
(2003)
ACM Trans. Math. Softw.
, vol.29
, Issue.4
, pp. 373-394
-
-
Gould, N.I.M.1
Orban, D.2
Toint, Ph.L.3
-
17
-
-
2442619389
-
GALAHAD -A library of thread-safe Fortran 90 packages for large-scale nonlinear optimization
-
2077337 1068.90525 10.1145/962437.962438
-
N.I.M. Gould D. Orban Ph.L. Toint 2003 GALAHAD-a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization ACM Trans. Math. Softw. 29 4 353 372 2077337 1068.90525 10.1145/962437.962438
-
(2003)
ACM Trans. Math. Softw.
, vol.29
, Issue.4
, pp. 353-372
-
-
Gould, N.I.M.1
Orban, D.2
Toint, Ph.L.3
-
19
-
-
21644462094
-
Global convergence of SSM for minimizing a quadratic over a sphere
-
DOI 10.1090/S0025-5718-04-01731-4, PII S0025571804017314
-
W.W. Hager S.C. Park 2005 Global convergence of SSM for minimizing a quadratic over a sphere Math. Comput. 74 1413 1423 2137009 1059.90112 (Pubitemid 40937970)
-
(2005)
Mathematics of Computation
, vol.74
, Issue.251
, pp. 1413-1423
-
-
Hager, W.W.1
Park, S.2
-
20
-
-
0036347958
-
Minimizing a quadratic over a sphere
-
1870591 1058.90045
-
W.W. Hager 2001 Minimizing a quadratic over a sphere SIAM J. Control Optim. 12 188 208 1870591 1058.90045
-
(2001)
SIAM J. Control Optim.
, vol.12
, pp. 188-208
-
-
Hager, W.W.1
-
21
-
-
33646730150
-
Cubic regularization of Newton's method and its global performance
-
2229459 1142.90500 10.1007/s10107-006-0706-8
-
Yu. Nesterov B.T. Polyak 2006 Cubic regularization of Newton's method and its global performance Math. Program. 108 1 177 205 2229459 1142.90500 10.1007/s10107-006-0706-8
-
(2006)
Math. Program.
, vol.108
, Issue.1
, pp. 177-205
-
-
Nesterov, Yu.1
Polyak, B.T.2
-
22
-
-
0039943513
-
ALGORITHM 583: LSQR: An algorithm for sparse linear equations and sparse least squares
-
661121 10.1145/355993.356000
-
C.C. Paige M.A. Saunders 1982 ALGORITHM 583: LSQR: an algorithm for sparse linear equations and sparse least squares ACM Trans. Math. Softw. 8 2 195 209 661121 10.1145/355993.356000
-
(1982)
ACM Trans. Math. Softw.
, vol.8
, Issue.2
, pp. 195-209
-
-
Paige, C.C.1
Saunders, M.A.2
-
23
-
-
0031261357
-
Automatic determination of an initial trust region in nonlinear programming
-
PII S1064827595286955
-
A. Sartenaer 1997 Automatic determination of an initial trust region in nonlinear programming SIAM J. Sci. Comput. 18 6 1788 1803 1480635 0891.90151 10.1137/S1064827595286955 (Pubitemid 127639225)
-
(1997)
SIAM Journal of Scientific Computing
, vol.18
, Issue.6
, pp. 1788-1803
-
-
Sartenaer, A.1
-
24
-
-
0000305846
-
The conjugate gradient method and trust regions in large scale optimization
-
701102 0518.65042 10.1137/0720042
-
T. Steihaug 1983 The conjugate gradient method and trust regions in large scale optimization SIAM J. Numer. Anal. 20 626 637 701102 0518.65042 10.1137/0720042
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 626-637
-
-
Steihaug, T.1
-
25
-
-
33947606578
-
Affine conjugate adaptive Newton methods for nonlinear elastomechanics
-
DOI 10.1080/10556780600605129, PII 773540732
-
M. Weiser P. Deuflhard B. Erdmann 2007 Affine conjugate adaptive Newton methods for nonlinear elastomechanics Optim. Methods Softw. 22 3 413 431 2319241 1128.74007 10.1080/10556780600605129 (Pubitemid 46479850)
-
(2007)
Optimization Methods and Software
, vol.22
, Issue.3
, pp. 413-431
-
-
Weiser, M.1
Deuflhard, P.2
Erdmann, B.3
-
26
-
-
0347433923
-
On the truncated conjugate-gradient method
-
10.1007/s101070050012
-
Y. Yuan 1999 On the truncated conjugate-gradient method Math. Program., Ser. A 87 3 561 573 10.1007/s101070050012
-
(1999)
Math. Program., Ser. A
, vol.87
, Issue.3
, pp. 561-573
-
-
Yuan, Y.1
|