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Toint, Philippe L.

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Author ID: toint.philippe-l Recent zbMATH articles by "Toint, Philippe L."
Published as: Toint, Philippe L.; Toint, Ph. L.; Toint, Philippe; Toint, P. L.; Toint, Ph.; Toint, Phillipe L.; Toint, P.
Homepage: http://perso.fundp.ac.be/~phtoint/toint.html
External Links: MGP · ORCID · dblp
Documents Indexed: 169 Publications since 1977, including 4 Books

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 4,026 times in 2,129 Documents Cited by Year
Trust-region methods. Zbl 0958.65071
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
489
2000
CUTE: Constrained and unconstrained testing environment. Zbl 0886.65058
Bongartz, I.; Conn, A. R.; Gould, N.; Toint, Ph. L.
287
1995
CUTEr and SifDec: a constrained and unconstrained testing environment, revisited. Zbl 1068.90526
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
232
2003
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. Zbl 0724.65067
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
141
1991
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
127
2002
Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076
Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas
109
2002
LANCELOT. A Fortran package for large-scale nonlinear optimization (Release A). Zbl 0761.90087
Conn, Andrew R.; Gould, Nick I. M.; Toint, Philippe L.
106
1992
Global convergence of a class of trust region algorithms for optimization with simple bounds. Zbl 0643.65031
Conn, A. R.; Gould, N. I. M.; Toint, Ph. L.
96
1988
CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. Zbl 1325.90004
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
95
2015
On an instance of the inverse shortest paths problem. Zbl 0756.90089
Burton, D.; Toint, Ph. L.
91
1992
Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. Zbl 1229.90192
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
91
2011
Adaptive cubic regularisation methods for unconstrained optimization. II: Worst-case function- and derivative-evaluation complexity. Zbl 1229.90193
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
89
2011
An assessment of nonmonotone linesearch techniques for unconstrained optimization. Zbl 0849.90113
Toint, Philippe L.
84
1996
Solving the trust-region subproblem using the Lanczos method. Zbl 1047.90510
Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L.
81
1999
On the complexity of steepest descent, Newton’s and regularized Newton’s methods for nonconvex unconstrained optimization problems. Zbl 1211.90225
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
63
2010
Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints. Zbl 0891.90153
Toint, Philippe L.
61
1997
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization. Zbl 1068.90525
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
61
2003
Recursive trust-region methods for multiscale nonlinear optimization. Zbl 1163.90024
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
55
2008
Local convergence analysis for partitioned quasi-Newton updates. Zbl 0505.65018
Griewank, A.; Toint, Ph. L.
52
1982
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
51
1988
Testing a class of methods for solving minimization problems with simple bounds on the variables. Zbl 0645.65033
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
47
1988
Convergence of quasi-Newton matrices generated by the symmetric rank one update. Zbl 0737.90062
Conn, A. R.; Gould, N. I. M.; Toint, Ph. L.
47
1991
Recent progress in unconstrained nonlinear optimization without derivatives. Zbl 0887.90154
Conn, A. R.; Scheinberg, K.; Toint, Ph. L.
47
1997
A filter-trust-region method for unconstrained optimization. Zbl 1122.90074
Gould, Nick I. M.; Sainvitu, Caroline; Toint, Philippe L.
46
2005
A multidimensional filter algorithm for nonlinear equations and nonlinear least-squares. Zbl 1075.65075
Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.
46
2004
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. Zbl 1365.90236
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L.
42
2017
On sparse and symmetric matrix updating subject to a linear equation. Zbl 0379.65034
Toint, Ph. L.
42
1977
On the convergence of derivative-free methods for unconstrained optimization. Zbl 1042.90617
Conn, Andrew; Scheinberg, Katya; Toint, Philippe
41
1997
Partitioned variable metric updates for large structured optimization problems. Zbl 0482.65035
Griewank, A.; Toint, Ph. L.
39
1982
Towards an efficient sparsity exploiting Newton method for minimization. Zbl 0463.65045
Toint, Ph. L.
38
1981
Nonlinear programming without a penalty function or a filter. Zbl 1216.90069
Gould, N. I. M.; Toint, Ph. L.
35
2010
On the use of an inverse shortest paths algorithm for recovering linearly correlated costs. Zbl 0795.90080
Burton, D.; Toint, Ph. L.
34
1994
Numerical methods for large-scale nonlinear optimization. Zbl 1119.65337
Gould, Nick; Orban, Dominique; Toint, Philippe
32
2005
On the estimation of sparse Hessian matrices. Zbl 0426.65025
Powell, M. J. D.; Toint, Ph. L.
30
1979
Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints. Zbl 0856.90098
Conn, A. R.; Gould, N.; Sartenaer, A.; Toint, Ph. L.
30
1996
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming. Zbl 1236.90118
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
29
2011
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity. Zbl 1267.65061
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
28
2012
Exploiting negative curvature directions in linesearch methods for unconstrained optimization. Zbl 0988.90039
Gould, N. I. M.; Lucidi, S.; Roma, M.; Toint, Ph. L.
27
2000
Complexity bounds for second-order optimality in unconstrained optimization. Zbl 1245.65063
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
27
2012
Transfers to sustain dynamic core-theoretic cooperation in international stock pollutant control. Zbl 1179.91203
Germain, Marc; Toint, Philippe; Tulkens, Henry; De Zeeuw, Aart
25
2003
Some numerical results using a sparse matrix updating formula in unconstrained optimization. Zbl 0381.65036
Toint, Ph. L.
25
1978
On the unconstrained optimization of partially separable functions. Zbl 0563.90085
Griewank, A.; Toint, Ph. L.
24
1982
An algorithm using quadratic interpolation for unconstrained derivative free optimization. Zbl 0976.90102
Conn, Andrew R.; Toint, Philippe L.
24
1996
Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization. Zbl 1209.65017
Scheinberg, K.; Toint, Ph. L.
24
2010
Superlinear convergence of primal-dual interior point algorithms for nonlinear programming. Zbl 1003.65066
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Philippe L.
21
2001
Sensitivity of trust-region algorithms to their parameters. Zbl 1086.65060
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Phillipe L.
19
2005
Convergence theory for nonconvex stochastic programming with an application to mixed logit. Zbl 1130.90371
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L.
19
2006
The inverse shortest paths problem with upper bounds on shortest paths costs. Zbl 0878.90098
Burton, D.; Pulleyblank, W. R.; Toint, Ph. L.
19
1997
Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares. Zbl 1218.90182
Bellavia, S.; Cartis, C.; Gould, N. I. M.; Morini, B.; Toint, Ph. L.
19
2010
Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization. Zbl 1270.90078
Toint, Philippe L.
19
2013
Numerical solution of large sets of algebraic nonlinear equations. Zbl 0614.65058
Toint, Ph. L.
18
1986
Global convergence of the partitioned BFGS algorithm for convex partially separable optimization. Zbl 0626.90076
Toint, Ph. L.
18
1986
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization. Zbl 1250.90083
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
18
2012
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Zbl 1229.90138
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke
18
2011
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization. Zbl 1277.68092
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
17
2013
An adaptive Monte Carlo algorithm for computing mixed logit estimators. Zbl 1136.62086
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L.
16
2006
On the complexity of finding first-order critical points in constrained nonlinear optimization. Zbl 1301.68154
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
16
2014
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds. Zbl 0854.90125
Conn, A. R.; Gould, Nick; Toint, Ph. L.
16
1997
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Zbl 1190.90209
Gratton, Serge; Mouffe, Mélodie; Sartenaer, Annick; Toint, Philippe L.; Tomanos, Dimitri
14
2010
Updating the regularization parameter in the adaptive cubic regularization algorithm. Zbl 1259.90134
Gould, N. I. M.; Porcelli, M.; Toint, P. L.
14
2012
On large scale nonlinear network optimization. Zbl 0693.90092
Toint, Ph. L.; Tuyttens, D.
14
1990
Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models. Zbl 1335.90094
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L.
13
2016
A primal-dual trust-region algorithm for non-convex nonlinear programming. Zbl 0970.90116
Conn, Andrew R.; Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
13
2000
On the superlinear convergence of an algorithm for solving a sparse minimization problem. Zbl 0426.65024
Toint, Ph.
12
1979
Preprocessing for quadratic programming. Zbl 1146.90491
Gould, Nick; Toint, Philippe L.
12
2004
On large scale nonlinear least squares calculations. Zbl 0616.65014
Toint, Ph. L.
11
1987
Correction to the paper on global convergence of a class of trust region algorithms for optimization with simple bounds. Zbl 0673.65033
Conn, A. R.; Gould, N. I. M.; Toint, Ph. L.
11
1989
On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear constraints and simple bounds. Zbl 0809.65066
Conn, A. R.; Gould, N. I. M.; Toint, Ph. L.
11
1992
A recursive \(\ell_{\infty}\)-trust-region method for bound-constrained nonlinear optimization. Zbl 1156.65060
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.; Weber-Mendonça, Melissa
11
2008
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization. Zbl 1252.90061
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
11
2012
On iterative algorithms for linear least squares problems with bound constraints. Zbl 0722.65019
Bierlaire, M.; Toint, Ph. L.; Tuyttens, D.
11
1991
Numerical experiments with partially separable optimization problems. Zbl 0531.65033
Griewank, A.; Toint, Ph. L.
10
1984
Global convergence of a class of trust region algorithms for optimization using inexact projections on convex constraints. Zbl 0806.90111
Conn, A. R.; Gould, Nick; Sartenaer, A.; Toint, Ph. L.
10
1993
Numerical experiments with the Lancelot package (Release \(A\)) for large-scale nonlinear optimization. Zbl 0848.90109
Conn, A. R.; Gould, Nick; Toint, Ph. L.
10
1996
Second-order optimality and beyond: characterization and evaluation complexity in convexly constrained nonlinear optimization. Zbl 1405.90125
Cartis, Coralia; Gould, Nick I. M.; Toint, Philippe L.
10
2018
Universal regularization methods: varying the power, the smoothness and the accuracy. Zbl 1436.90136
Cartis, Coralia; Gould, Nick I.; Toint, Philippe L.
10
2019
A note about sparsity exploiting quasi-Newton updates. Zbl 0463.90081
Toint, Ph.
9
1981
An iterative working-set method for large-scale nonconvex quadratic programming. Zbl 1012.65054
Gould, Nicholas I. M.; Toint, Philippe L.
9
2002
Convergence properties of minimization algorithms for convex constraints using a structured trust region. Zbl 0868.90106
Conn, A. R.; Gould, Nick; Sartenaer, A.; Toint, Ph. L.
9
1996
Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization. Zbl 1342.90180
Cartis, C.; Sampaio, Ph. R.; Toint, Ph. L.
9
2015
Trust-region and other regularisations of linear least-squares problems. Zbl 1165.65019
Cartis, C.; Gould, N. I. M.; Toint, P. L.
9
2009
On the existence of convex decompositions of partially separable functions. Zbl 0561.65045
Griewank, A.; Toint, Ph. L.
8
1984
Optimizing partially separable functions without derivatives. Zbl 1152.90659
Colson, Benoît; Toint, Philippe L.
8
2005
On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods. Zbl 1329.65124
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
8
2015
BFO, a trainable derivative-free brute force optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete variables. Zbl 06920068
Porcelli, Margherita; Toint, Philippe L.
8
2017
Approximate norm descent methods for constrained nonlinear systems. Zbl 1383.65051
Morini, Benedetta; Porcelli, Margherita; Toint, Philippe L.
8
2018
Worst-case evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients. Zbl 1380.90252
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
7
2017
A derivative-free trust-funnel method for equality-constrained nonlinear optimization. Zbl 1311.90187
Sampaio, Ph. R.; Toint, Ph. L.
7
2015
A note on the convergence of barrier algorithms to second-order necessary points. Zbl 0954.90052
Gould, Nicholas I. M.; Toint, Philippe L.
7
1999
Adaptive regularization algorithms with inexact evaluations for nonconvex optimization. Zbl 1427.90228
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta; Toint, Philippe L.
7
2019
Recognizing underlying sparsity in optimization. Zbl 1163.90026
Kim, Sunyoung; Kojima, Masakazu; Toint, Philippe
7
2009
A filter-trust-region method for simple-bound constrained optimization. Zbl 1169.90458
Sainvitu, Caroline; Toint, Philippe L.
6
2007
Performance of a multifrontal scheme for partially separable optimization. Zbl 0809.90117
Conn, A. R.; Gould, Nick; Lescrenier, M.; Toint, Ph. L.
6
1994
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations. Zbl 1012.65046
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Philippe L.
5
2002
A retrospective trust-region method for unconstrained optimization. Zbl 1196.65101
Bastin, Fabian; Malmedy, Vincent; Mouffe, Mélodie; Toint, Philippe L.; Tomanos, Dimitri
5
2010
Optimal estimation of Jacobian and Hessian matrices that arise in finite difference calculations. Zbl 0554.65085
Goldfarb, D.; Toint, Ph. L.
5
1984
Exploiting band structure in unconstrained optimization without derivatives. Zbl 1035.90083
Colson, Benoît; Toint, Philippe L.
4
2001
Exploiting problem structure in pattern search methods for unconstrained optimization. Zbl 1136.90516
Price, C. J.; Toint, Ph. L.
4
2006
An interior-point trust-funnel algorithm for nonlinear optimization. Zbl 1355.65075
Curtis, Frank E.; Gould, Nicholas I. M.; Robinson, Daniel P.; Toint, Philippe L.
4
2017
Corrigendum to: “On the complexity of finding first-order critical points in constrained nonlinear optimization”. Zbl 06680644
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
4
2017
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity. Zbl 1465.90071
Gratton, S.; Simon, E.; Toint, Ph. L.
1
2021
A concise second-order complexity analysis for unconstrained optimization using high-order regularized models. Zbl 1439.90056
Cartis, Coralia; Gould, N. I. M.; Toint, Ph. L.
4
2020
Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints. Zbl 1437.90128
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
2
2020
A note on solving nonlinear optimization problems in variable precision. Zbl 1446.90149
Gratton, S.; Toint, Ph. L.
1
2020
Universal regularization methods: varying the power, the smoothness and the accuracy. Zbl 1436.90136
Cartis, Coralia; Gould, Nick I.; Toint, Philippe L.
10
2019
Adaptive regularization algorithms with inexact evaluations for nonconvex optimization. Zbl 1427.90228
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta; Toint, Philippe L.
7
2019
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318
Chen, Xiaojun; Toint, Ph. L.; Wang, H.
4
2019
Optimality of orders one to three and beyond: characterization and evaluation complexity in constrained nonconvex optimization. Zbl 1415.90118
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
3
2019
Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models. Zbl 1425.90113
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
1
2019
Second-order optimality and beyond: characterization and evaluation complexity in convexly constrained nonlinear optimization. Zbl 1405.90125
Cartis, Coralia; Gould, Nick I. M.; Toint, Philippe L.
10
2018
Approximate norm descent methods for constrained nonlinear systems. Zbl 1383.65051
Morini, Benedetta; Porcelli, Margherita; Toint, Philippe L.
8
2018
Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization. Zbl 1451.90177
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
4
2018
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. Zbl 1365.90236
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L.
42
2017
BFO, a trainable derivative-free brute force optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete variables. Zbl 06920068
Porcelli, Margherita; Toint, Philippe L.
8
2017
Worst-case evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients. Zbl 1380.90252
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
7
2017
An interior-point trust-funnel algorithm for nonlinear optimization. Zbl 1355.65075
Curtis, Frank E.; Gould, Nicholas I. M.; Robinson, Daniel P.; Toint, Philippe L.
4
2017
Corrigendum to: “On the complexity of finding first-order critical points in constrained nonlinear optimization”. Zbl 06680644
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
4
2017
Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models. Zbl 1335.90094
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L.
13
2016
Numerical experience with a derivative-free trust-funnel method for nonlinear optimization problems with general nonlinear constraints. Zbl 1369.90138
Sampaio, Ph. R.; Toint, Ph. L.
2
2016
Simple examples for the failure of Newton’s method with line search for strictly convex minimization. Zbl 1346.90665
Jarre, Florian; Toint, Philippe L.
1
2016
CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. Zbl 1325.90004
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
95
2015
Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization. Zbl 1342.90180
Cartis, C.; Sampaio, Ph. R.; Toint, Ph. L.
9
2015
On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods. Zbl 1329.65124
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
8
2015
A derivative-free trust-funnel method for equality-constrained nonlinear optimization. Zbl 1311.90187
Sampaio, Ph. R.; Toint, Ph. L.
7
2015
An interior-point \(\ell_1\)-penalty method for nonlinear optimization. Zbl 1330.65085
Gould, Nick I. M.; Orban, Dominique; Toint, Philippe L.
4
2015
Quasi-Newton updates with weighted secant equations. Zbl 1356.90162
Gratton, S.; Malmedy, V.; Toint, Ph. L.
2
2015
Observation thinning in data assimilation computations. Zbl 1307.90104
Gratton, Serge; Rincon-Camacho, Monserrat; Simon, Ehouarn; Toint, Philippe L.
1
2015
On the complexity of finding first-order critical points in constrained nonlinear optimization. Zbl 1301.68154
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
16
2014
Differentiating the method of conjugate gradients. Zbl 1306.65180
Gratton, Serge; Titley-Peloquin, David; Toint, Philippe; Ilunga, Jean Tshimanga
2
2014
Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization. Zbl 1270.90078
Toint, Philippe L.
19
2013
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization. Zbl 1277.68092
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
17
2013
Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. Zbl 1267.90093
Gratton, Serge; Gürol, Selime; Toint, Philippe L.
2
2013
A note about the complexity of minimizing Nesterov’s smooth Chebyshev-Rosenbrock function. Zbl 1273.90199
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
2
2013
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity. Zbl 1267.65061
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
28
2012
Complexity bounds for second-order optimality in unconstrained optimization. Zbl 1245.65063
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
27
2012
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization. Zbl 1250.90083
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
18
2012
Updating the regularization parameter in the adaptive cubic regularization algorithm. Zbl 1259.90134
Gould, N. I. M.; Porcelli, M.; Toint, P. L.
14
2012
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization. Zbl 1252.90061
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
11
2012
Erratum to: “Nonlinear programming without a penalty function or a filter”. Zbl 1235.90118
Gould, N. I. M.; Toint, Ph. L.
3
2012
A model of weekly labor participation for a Belgian synthetic population. Zbl 1332.91094
Cirillo, Cinzia; Cornelis, Eric; Toint, Philippe L.
1
2012
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. Zbl 1245.90122
Gratton, Serge; Malmedy, Vincent; Toint, Philippe L.
1
2012
Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. Zbl 1229.90192
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
91
2011
Adaptive cubic regularisation methods for unconstrained optimization. II: Worst-case function- and derivative-evaluation complexity. Zbl 1229.90193
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
89
2011
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming. Zbl 1236.90118
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
29
2011
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Zbl 1229.90138
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke
18
2011
Stopping rules and backward error analysis for bound-constrained optimization. Zbl 1228.65088
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.
3
2011
Range-space variants and inexact matrix-vector products in Krylov solvers for linear systems arising from inverse problems. Zbl 1237.65033
Gratton, S.; Toint, Ph. L.; Ilunga, J. Tshimanga
2
2011
Fast regularized linear sampling for inverse scattering problems. Zbl 1245.65121
Fares, M’Barek; Gratton, Serge; Toint, Philippe L.
1
2011
Approximating Hessians in unconstrained optimization arising from discretized problems. Zbl 1228.90117
Malmedy, Vincent; Toint, Philippe L.
1
2011
On the complexity of steepest descent, Newton’s and regularized Newton’s methods for nonconvex unconstrained optimization problems. Zbl 1211.90225
Cartis, C.; Gould, N. I. M.; Toint, Ph. L.
63
2010
Nonlinear programming without a penalty function or a filter. Zbl 1216.90069
Gould, N. I. M.; Toint, Ph. L.
35
2010
Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization. Zbl 1209.65017
Scheinberg, K.; Toint, Ph. L.
24
2010
Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares. Zbl 1218.90182
Bellavia, S.; Cartis, C.; Gould, N. I. M.; Morini, B.; Toint, Ph. L.
19
2010
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Zbl 1190.90209
Gratton, Serge; Mouffe, Mélodie; Sartenaer, Annick; Toint, Philippe L.; Tomanos, Dimitri
14
2010
A retrospective trust-region method for unconstrained optimization. Zbl 1196.65101
Bastin, Fabian; Malmedy, Vincent; Mouffe, Mélodie; Toint, Philippe L.; Tomanos, Dimitri
5
2010
Approximate invariant subspaces and quasi-Newton optimization methods. Zbl 1202.90272
Gratton, Serge; Toint, Philippe L.
2
2010
Formulation and solution strategies for nonparametric nonlinear stochastic programmes with an application in finance. Zbl 1202.90202
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L.
1
2010
Trust-region and other regularisations of linear least-squares problems. Zbl 1165.65019
Cartis, C.; Gould, N. I. M.; Toint, P. L.
9
2009
Recognizing underlying sparsity in optimization. Zbl 1163.90026
Kim, Sunyoung; Kojima, Masakazu; Toint, Philippe
7
2009
SVD-tail: A new linear-sampling reconstruction method for inverse scattering problems. Zbl 1175.65129
Fares, M’Barek; Gratton, Serge; Toint, Philippe L.
3
2009
A multilevel algorithm for solving the trust-region subproblem. Zbl 1179.90315
Toint, Philippe L.; Tomanos, D.; Weber-Mendonça, M.
1
2009
Recursive trust-region methods for multiscale nonlinear optimization. Zbl 1163.90024
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
55
2008
A recursive \(\ell_{\infty}\)-trust-region method for bound-constrained nonlinear optimization. Zbl 1156.65060
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.; Weber-Mendonça, Melissa
11
2008
A filter-trust-region method for simple-bound constrained optimization. Zbl 1169.90458
Sainvitu, Caroline; Toint, Philippe L.
6
2007
Convergence theory for nonconvex stochastic programming with an application to mixed logit. Zbl 1130.90371
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L.
19
2006
An adaptive Monte Carlo algorithm for computing mixed logit estimators. Zbl 1136.62086
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L.
16
2006
Exploiting problem structure in pattern search methods for unconstrained optimization. Zbl 1136.90516
Price, C. J.; Toint, Ph. L.
4
2006
Global convergence of a non-monotone trust-region filter algorithm for nonlinear programming. Zbl 1130.90399
Gould, Nicholas I. M.; Toint, Philippe L.
3
2006
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization. Zbl 1132.65054
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
1
2006
A filter-trust-region method for unconstrained optimization. Zbl 1122.90074
Gould, Nick I. M.; Sainvitu, Caroline; Toint, Philippe L.
46
2005
Numerical methods for large-scale nonlinear optimization. Zbl 1119.65337
Gould, Nick; Orban, Dominique; Toint, Philippe
32
2005
Sensitivity of trust-region algorithms to their parameters. Zbl 1086.65060
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Phillipe L.
19
2005
Optimizing partially separable functions without derivatives. Zbl 1152.90659
Colson, Benoît; Toint, Philippe L.
8
2005
A multidimensional filter algorithm for nonlinear equations and nonlinear least-squares. Zbl 1075.65075
Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.
46
2004
Preprocessing for quadratic programming. Zbl 1146.90491
Gould, Nick; Toint, Philippe L.
12
2004
How mature is nonlinear optimization? Zbl 1146.90515
Gould, Nick; Toint, Philippe L.
1
2004
CUTEr and SifDec: a constrained and unconstrained testing environment, revisited. Zbl 1068.90526
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
232
2003
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization. Zbl 1068.90525
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
61
2003
Transfers to sustain dynamic core-theoretic cooperation in international stock pollutant control. Zbl 1179.91203
Germain, Marc; Toint, Philippe; Tulkens, Henry; De Zeeuw, Aart
25
2003
Global convergence of a hybrid trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1063.90052
Gould, Nick; Toint, Philippe L.
2
2003
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
127
2002
Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076
Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas
109
2002
An iterative working-set method for large-scale nonconvex quadratic programming. Zbl 1012.65054
Gould, Nicholas I. M.; Toint, Philippe L.
9
2002
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations. Zbl 1012.65046
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Philippe L.
5
2002
Superlinear convergence of primal-dual interior point algorithms for nonlinear programming. Zbl 1003.65066
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Philippe L.
21
2001
Exploiting band structure in unconstrained optimization without derivatives. Zbl 1035.90083
Colson, Benoît; Toint, Philippe L.
4
2001
Error analysis of signal zeros from a related companion matrix eigenvalue problem. Zbl 1037.65038
Bazán, F. S. V.; Toint, Ph. L.
1
2001
Trust-region methods. Zbl 0958.65071
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
489
2000
Exploiting negative curvature directions in linesearch methods for unconstrained optimization. Zbl 0988.90039
Gould, N. I. M.; Lucidi, S.; Roma, M.; Toint, Ph. L.
27
2000
A primal-dual trust-region algorithm for non-convex nonlinear programming. Zbl 0970.90116
Conn, Andrew R.; Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
13
2000
Conditioning of infinite Hankel matrices of finite rank. Zbl 0980.93028
Bazán, F. S. V.; Toint, P. L.
3
2000
A primal-dual algorithm for minimizing a non-convex function subject to bound and linear equality constraints. Zbl 1138.90447
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.
1
2000
Solving the trust-region subproblem using the Lanczos method. Zbl 1047.90510
Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L.
81
1999
A note on the convergence of barrier algorithms to second-order necessary points. Zbl 0954.90052
Gould, Nicholas I. M.; Toint, Philippe L.
7
1999
A linesearch algorithm with memory for unconstrained optimization. Zbl 0942.65067
Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L.
1
1998
Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints. Zbl 0891.90153
Toint, Philippe L.
61
1997
Recent progress in unconstrained nonlinear optimization without derivatives. Zbl 0887.90154
Conn, A. R.; Scheinberg, K.; Toint, Ph. L.
47
1997
On the convergence of derivative-free methods for unconstrained optimization. Zbl 1042.90617
Conn, Andrew; Scheinberg, Katya; Toint, Philippe
41
1997
The inverse shortest paths problem with upper bounds on shortest paths costs. Zbl 0878.90098
Burton, D.; Pulleyblank, W. R.; Toint, Ph. L.
19
1997
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds. Zbl 0854.90125
Conn, A. R.; Gould, Nick; Toint, Ph. L.
16
1997
...and 52 more Documents
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Cited by 2,446 Authors

67 Toint, Philippe L.
61 Martínez, José Mario
42 Zhu, Detong
33 Babaie-Kafaki, Saman
33 Zhang, Jianzhong
30 Birgin, Ernesto G.
24 Andrei, Neculai
23 Gould, Nicholas Ian Mark
23 Jian, Jinbao
23 Wei, Zengxin
22 Santos, Sandra Augusta
22 Sun, Wenyu
22 Yuan, Gonglin
21 Robinson, Daniel P.
21 Vicente, Luis Nunes
20 Amini, Keyvan
20 Gratton, Serge
20 Yuan, Ya-xiang
19 Cartis, Coralia
19 Dai, Yu-Hong
19 Orban, Dominique
19 Pu, Dingguo
17 Lukšan, Ladislav
16 Curtis, Frank E.
16 Ni, Qin
16 Shen, Chungen
16 Xiao, Yunhai
16 Zhang, Liwei
15 Audet, Charles
15 Morini, Benedetta
14 Dostál, Zdeněk
14 Fasano, Giovanni
14 Ghanbari, Reza
14 Gu, Chao
14 Kimiaei, Morteza
13 Ahookhosh, Masoud
13 Chen, Zhongwen
13 Kanzow, Christian
13 Karas, Elizabeth W.
13 Leong, Wah June
13 Nocedal, Jorge
12 Andreani, Roberto
12 Bellavia, Stefania
12 Conn, Andrew Roger
12 Grapiglia, Geovani Nunes
12 Peyghami, Mohammad Reza
12 Shi, Zhenjun
11 Le Digabel, Sébastien
11 Li, Donghui
11 Lucidi, Stefano
11 Nesterov, Yurii
11 Qi, Liqun
11 Roma, Massimo
11 Vlček, Jan
11 Zaccour, Georges
10 Al-Baali, Mehiddin
10 Armand, Paul
10 Fernandes, Edite M. G. P.
10 Griewank, Andreas
10 Leyffer, Sven
10 Liu, Zexian
10 Marcia, Roummel F.
10 Porcelli, Margherita
10 Salahi, Maziar
10 Steihaug, Trond
10 Yu, Zhensheng
10 Zhang, Hongchao
10 Zhang, Lei-Hong
9 Cheng, Wanyou
9 Krejić, Nataša
9 Ou, Yigui
9 Wang, Fusheng
9 Wang, Zhujun
9 Xu, Chengxian
9 Yao, Shengwei
8 Byrd, Richard H.
8 Diehl, Moritz Mathias
8 Erway, Jennifer B.
8 Liu, Hongwei
8 Schuverdt, María Laura
8 Shanno, David F.
8 Su, Ke
8 Wächter, Andreas
8 Walther, Andrea
8 Xia, Yong
7 Biegler, Lorenz T.
7 di Serafino, Daniela
7 Dong, Xiaoliang
7 Esmaeili, Hamid
7 Francisco, Juliano B.
7 Gould, Nick I. M.
7 Hager, William W.
7 Li, Xiangli
7 Mahdavi-Amiri, Nezam
7 Noll, Dominikus
7 Pham Dinh Tao
7 Ribeiro, Ademir Alves
7 Royer, Clément W.
7 Viloche Bazán, Fermín S.
7 Wang, Haijun
...and 2,346 more Authors
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Cited in 231 Serials

171 Computational Optimization and Applications
148 Optimization Methods & Software
142 Mathematical Programming. Series A. Series B
139 Journal of Optimization Theory and Applications
106 Journal of Computational and Applied Mathematics
96 Applied Mathematics and Computation
80 SIAM Journal on Optimization
68 Journal of Global Optimization
65 Numerical Algorithms
56 Optimization Letters
54 Optimization
41 European Journal of Operational Research
31 Computers & Mathematics with Applications
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25 Optimization and Engineering
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24 Applied Numerical Mathematics
23 International Journal of Computer Mathematics
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21 Mathematical Problems in Engineering
20 Annals of Operations Research
19 Computer Methods in Applied Mechanics and Engineering
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17 SIAM Journal on Scientific Computing
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16 Journal of Industrial and Management Optimization
15 Linear Algebra and its Applications
14 Numerische Mathematik
14 Journal of Systems Science and Complexity
13 Asia-Pacific Journal of Operational Research
13 Abstract and Applied Analysis
12 Mathematical Methods of Operations Research
11 Calcolo
11 Journal of Applied Mathematics
10 Automatica
9 Discrete Applied Mathematics
9 BIT
9 Operations Research Letters
9 Computers & Operations Research
9 Applied Mathematics Letters
9 Science China. Mathematics
8 Applied Mathematics and Optimization
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8 International Journal for Numerical Methods in Engineering
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8 Journal of Scientific Computing
8 Applied Mathematics. Series B (English Edition)
8 Top
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5 Kybernetika
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3 Discrete Dynamics in Nature and Society
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3 Frontiers of Mathematics in China
3 Set-Valued and Variational Analysis
3 Asian Journal of Control
2 International Journal for Numerical Methods in Fluids
2 International Journal of Systems Science
2 Bulletin of Mathematical Biology
2 ACM Transactions on Mathematical Software
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematics and Computers in Simulation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Mathematical Social Sciences
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2 Acta Applicandae Mathematicae
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Journal of Complexity
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Cited in 41 Fields

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