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Philippe L. Toint
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- affiliation: University of Namur, Belgium
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2020 – today
- 2024
- [j115]Serge Gratton, Valentin Mercier, Elisa Riccietti
, Philippe L. Toint:
A block-coordinate approach of multi-level optimization with an application to physics-informed neural networks. Comput. Optim. Appl. 89(2): 385-417 (2024) - [j114]Serge Gratton, Philippe L. Toint, Jacek Gondzio, Yurii E. Nesterov
, Ya-xiang Yuan:
Preface for the special edition of optimization methods and software. Optim. Methods Softw. 39(3): 457-458 (2024) - [i20]Serge Gratton, Philippe L. Toint:
S2MPJ and CUTEst optimization problems for Matlab, Python and Julia. CoRR abs/2407.07812 (2024) - [i19]Serge Gratton, Chee-Khian Sim, Philippe L. Toint:
Refining asymptotic complexity bounds for nonconvex optimization methods, including why steepest descent is o(ε-2) rather than 𝒪(ε-2). CoRR abs/2408.09124 (2024) - [i18]Philippe L. Toint:
Examples of slow convergence for adaptive regularization optimization methods are not isolated. CoRR abs/2409.16047 (2024) - 2023
- [j113]Serge Gratton, Philippe L. Toint
:
OFFO minimization algorithms for second-order optimality and their complexity. Comput. Optim. Appl. 84(2): 573-607 (2023) - [j112]Stefania Bellavia
, Gianmarco Gurioli
, Benedetta Morini
, Philippe L. Toint
:
The Impact of Noise on Evaluation Complexity: The Deterministic Trust-Region Case. J. Optim. Theory Appl. 196(2): 700-729 (2023) - [j111]Serge Gratton
, Sadok Jerad
, Philippe L. Toint
:
An adaptive regularization method in Banach spaces. Optim. Methods Softw. 38(6): 1163-1179 (2023) - [j110]Serge Gratton
, Sadok Jerad
, Philippe L. Toint
:
Convergence Properties of an Objective-Function-Free Optimization Regularization Algorithm, Including an \(\boldsymbol{\mathcal{O}(\epsilon^{-3/2})}\) Complexity Bound. SIAM J. Optim. 33(3): 1621-1646 (2023) - [j109]Serge Gratton, Alena Kopanicáková
, Philippe L. Toint
:
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training. SIAM J. Optim. 33(4): 2772-2800 (2023) - [i17]Serge Gratton, Alena Kopanicáková, Philippe L. Toint:
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training. CoRR abs/2302.07049 (2023) - [i16]Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L. Toint:
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks. CoRR abs/2305.14477 (2023) - [i15]Philippe L. Toint:
Divergence of the ADAM algorithm with fixed-stepsize: a (very) simple example. CoRR abs/2308.00720 (2023) - 2022
- [j108]Stefania Bellavia
, Gianmarco Gurioli
, Benedetta Morini, Philippe L. Toint:
Trust-region algorithms: Probabilistic complexity and intrinsic noise with applications to subsampling techniques. EURO J. Comput. Optim. 10: 100043 (2022) - [j107]Stefania Bellavia, Gianmarco Gurioli
, Benedetta Morini, Philippe L. Toint:
Adaptive regularization for nonconvex optimization using inexact function values and randomly perturbed derivatives. J. Complex. 68: 101591 (2022) - [j106]Serge Gratton
, Ehouarn Simon
, David Titley-Péloquin, Philippe L. Toint
:
A Note on Inexact Inner Products in GMRES. SIAM J. Matrix Anal. Appl. 43(3): 1406-1422 (2022) - [j105]Margherita Porcelli
, Philippe L. Toint:
Exploiting Problem Structure in Derivative Free Optimization. ACM Trans. Math. Softw. 48(1): 6:1-6:25 (2022) - [i14]Serge Gratton, Sadok Jerad, Philippe L. Toint:
Parametric complexity analysis for a class of first-order Adagrad-like algorithms. CoRR abs/2203.01647 (2022) - 2021
- [j104]Serge Gratton, Ehouarn Simon
, Philippe L. Toint
:
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity. Math. Program. 187(1): 1-24 (2021) - [j103]Xiaojun Chen
, Philippe L. Toint
:
High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. Math. Program. 187(1): 47-78 (2021) - [j102]Serge Gratton, Ehouarn Simon
, David Titley-Péloquin, Philippe L. Toint:
Minimizing convex quadratics with variable precision conjugate gradients. Numer. Linear Algebra Appl. 28(1) (2021) - [c3]Stefania Bellavia, Gianmarco Gurioli
, Benedetta Morini, Philippe L. Toint:
Quadratic and Cubic Regularisation Methods with Inexact function and Random Derivatives for Finite-Sum Minimisation. ICCSA (Workshops) 2021: 258-267 - [i13]Stefania Bellavia, Gianmarco Gurioli, Benedetta Morini, Philippe L. Toint:
Quadratic and Cubic Regularisation Methods with Inexact function and Random Derivatives for Finite-Sum Minimisation. CoRR abs/2104.00592 (2021) - [i12]Stefania Bellavia, Gianmarco Gurioli, Benedetta Morini, Philippe L. Toint:
The Impact of Noise on Evaluation Complexity: The Deterministic Trust-Region Case. CoRR abs/2104.02519 (2021) - [i11]Serge Gratton, Sadok Jerad, Philippe L. Toint:
Hölder Gradient Descent and Adaptive Regularization Methods in Banach Spaces for First-Order Points. CoRR abs/2104.02564 (2021) - 2020
- [j101]Serge Gratton, Philippe L. Toint:
A note on solving nonlinear optimization problems in variable precision. Comput. Optim. Appl. 76(3): 917-933 (2020) - [j100]Coralia Cartis
, Nick I. M. Gould
, Philippe L. Toint:
A concise second-order complexity analysis for unconstrained optimization using high-order regularized models. Optim. Methods Softw. 35(2): 243-256 (2020) - [j99]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
Sharp Worst-Case Evaluation Complexity Bounds for Arbitrary-Order Nonconvex Optimization with Inexpensive Constraints. SIAM J. Optim. 30(1): 513-541 (2020)
2010 – 2019
- 2019
- [j98]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint:
Optimality of orders one to three and beyond: Characterization and evaluation complexity in constrained nonconvex optimization. J. Complex. 53: 68-94 (2019) - [j97]Coralia Cartis, Nick I. M. Gould
, Philippe L. Toint:
Universal Regularization Methods: Varying the Power, the Smoothness and the Accuracy. SIAM J. Optim. 29(1): 595-615 (2019) - [j96]Xiaojun Chen, Philippe L. Toint, Hong Wang:
Complexity of Partially Separable Convexly Constrained Optimization with Non-Lipschitzian Singularities. SIAM J. Optim. 29(1): 874-903 (2019) - [j95]Stefania Bellavia, Gianmarco Gurioli
, Benedetta Morini
, Philippe L. Toint
:
Adaptive Regularization Algorithms with Inexact Evaluations for Nonconvex Optimization. SIAM J. Optim. 29(4): 2881-2915 (2019) - [j94]Margherita Porcelli
, Philippe L. Toint:
A Note on Using Performance and Data Profiles for Training Algorithms. ACM Trans. Math. Softw. 45(2): 20:1-20:10 (2019) - [i10]Serge Gratton, Ehouarn Simon
, David Titley-Péloquin, Philippe L. Toint:
Exploiting variable precision in GMRES. CoRR abs/1907.10550 (2019) - 2018
- [j93]Coralia Cartis, Nick I. M. Gould
, Philippe L. Toint
:
Second-Order Optimality and Beyond: Characterization and Evaluation Complexity in Convexly Constrained Nonlinear Optimization. Found. Comput. Math. 18(5): 1073-1107 (2018) - [j92]Benedetta Morini, Margherita Porcelli
, Philippe L. Toint
:
Approximate norm descent methods for constrained nonlinear systems. Math. Comput. 87(311): 1327-1351 (2018) - [i9]Serge Gratton, Ehouarn Simon
, Philippe L. Toint:
Minimizing convex quadratic with variable precision Krylov methods. CoRR abs/1807.07476 (2018) - [i8]Coralia Cartis, Nick I. M. Gould, Philippe L. Toint:
Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints. CoRR abs/1811.01220 (2018) - [i7]Stefania Bellavia, Gianmarco Gurioli, Benedetta Morini, Philippe L. Toint:
Deterministic and stochastic inexact regularization algorithms for nonconvex optimization with optimal complexity. CoRR abs/1811.03831 (2018) - [i6]Serge Gratton, Philippe L. Toint:
A note on solving nonlinear optimization problems in variable precision. CoRR abs/1812.03467 (2018) - 2017
- [j91]Frank E. Curtis
, Nicholas I. M. Gould
, Daniel P. Robinson, Philippe L. Toint
:
An interior-point trust-funnel algorithm for nonlinear optimization. Math. Program. 161(1-2): 73-134 (2017) - [j90]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
Corrigendum: On the complexity of finding first-order critical points in constrained nonlinear optimization. Math. Program. 161(1-2): 611-626 (2017) - [j89]Ernesto G. Birgin
, John Lenon Cardoso Gardenghi
, José Mario Martínez
, Sandra Augusta Santos
, Philippe L. Toint:
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. Math. Program. 163(1-2): 359-368 (2017) - [j88]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint:
Worst-case evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients. Optim. Methods Softw. 32(6): 1273-1298 (2017) - [j87]Margherita Porcelli
, Philippe L. Toint
:
BFO, A Trainable Derivative-free Brute Force Optimizer for Nonlinear Bound-constrained Optimization and Equilibrium Computations with Continuous and Discrete Variables. ACM Trans. Math. Softw. 44(1): 6:1-6:25 (2017) - [i5]Xiaojun Chen, Philippe L. Toint, Hong Wang:
Partially separable convexly-constrained optimization with non-Lipschitzian singularities and its complexity. CoRR abs/1704.06919 (2017) - [i4]Coralia Cartis, Nick I. M. Gould, Philippe L. Toint:
Evaluation complexity bounds for smooth constrained nonlinear optimisation using scaled KKT conditions, high-order models and the criticality measure $χ$. CoRR abs/1705.04895 (2017) - [i3]Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint:
Optimality of orders one to three and beyond: characterization and evaluation complexity in constrained nonconvex optimization. CoRR abs/1705.07285 (2017) - [i2]Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint:
Improved second-order evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. CoRR abs/1708.04044 (2017) - [i1]Margherita Porcelli, Philippe L. Toint:
A note on using performance and data profilesfor training algorithms. CoRR abs/1711.09407 (2017) - 2016
- [j86]Florian Jarre, Philippe L. Toint
:
Simple examples for the failure of Newton's method with line search for strictly convex minimization. Math. Program. 158(1-2): 23-34 (2016) - [j85]Phillipe Rodrigues Sampaio, Philippe L. Toint:
Numerical experience with a derivative-free trust-funnel method for nonlinear optimization problems with general nonlinear constraints. Optim. Methods Softw. 31(3): 511-534 (2016) - [j84]Ernesto G. Birgin
, John Lenon Cardoso Gardenghi
, José Mario Martínez
, Sandra A. Santos
, Philippe L. Toint:
Evaluation Complexity for Nonlinear Constrained Optimization Using Unscaled KKT Conditions and High-Order Models. SIAM J. Optim. 26(2): 951-967 (2016) - 2015
- [j83]Nicholas I. M. Gould
, Dominique Orban, Philippe L. Toint
:
CUTEst: a Constrained and Unconstrained Testing Environment with safe threads for mathematical optimization. Comput. Optim. Appl. 60(3): 545-557 (2015) - [j82]Phillipe Rodrigues Sampaio, Philippe L. Toint:
A derivative-free trust-funnel method for equality-constrained nonlinear optimization. Comput. Optim. Appl. 61(1): 25-49 (2015) - [j81]Serge Gratton, M. Monserrat Rincon-Camacho, Ehouarn Simon
, Philippe L. Toint
:
Observation thinning in data assimilation computations. EURO J. Comput. Optim. 3(1): 31-51 (2015) - [j80]Johan Barthélemy, Philippe L. Toint
:
A Stochastic and Flexible Activity Based Model for Large Population. Application to Belgium. J. Artif. Soc. Soc. Simul. 18(3) (2015) - [j79]Coralia Cartis, Andreas Griewank
, Philippe L. Toint
, Ya-Xiang Yuan:
Obituary for Mike Powell. Optim. Methods Softw. 30(3): 669-671 (2015) - [j78]Serge Gratton, Vincent Malmedy, Philippe L. Toint
:
Quasi-Newton updates with weighted secant equations. Optim. Methods Softw. 30(4): 748-755 (2015) - [j77]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
On the Evaluation Complexity of Constrained Nonlinear Least-Squares and General Constrained Nonlinear Optimization Using Second-Order Methods. SIAM J. Numer. Anal. 53(2): 836-851 (2015) - 2014
- [j76]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
On the complexity of finding first-order critical points in constrained nonlinear optimization. Math. Program. 144(1-2): 93-106 (2014) - [j75]Serge Gratton, David Titley-Péloquin, Philippe L. Toint
, Jean Tshimanga Ilunga:
Differentiating the Method of Conjugate Gradients. SIAM J. Matrix Anal. Appl. 35(1): 110-126 (2014) - 2013
- [j74]Serge Gratton, Selime Gürol, Philippe L. Toint
:
Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. Comput. Optim. Appl. 54(1): 1-25 (2013) - [j73]Philippe L. Toint
:
Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization. Optim. Methods Softw. 28(1): 82-95 (2013) - [j72]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
A note about the complexity of minimizing Nesterov's smooth Chebyshev-Rosenbrock function. Optim. Methods Softw. 28(3): 451-457 (2013) - [j71]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
On the Evaluation Complexity of Cubic Regularization Methods for Potentially Rank-Deficient Nonlinear Least-Squares Problems and Its Relevance to Constrained Nonlinear Optimization. SIAM J. Optim. 23(3): 1553-1574 (2013) - [j70]Johan Barthélemy
, Philippe L. Toint
:
Synthetic Population Generation Without a Sample. Transp. Sci. 47(2): 266-279 (2013) - 2012
- [j69]Serge Gratton, Vincent Malmedy, Philippe L. Toint
:
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. Comput. Optim. Appl. 51(3): 967-979 (2012) - [j68]Nicholas I. M. Gould
, Margherita Porcelli
, Philippe L. Toint:
Updating the regularization parameter in the adaptive cubic regularization algorithm. Comput. Optim. Appl. 53(1): 1-22 (2012) - [j67]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint:
Complexity bounds for second-order optimality in unconstrained optimization. J. Complex. 28(1): 93-108 (2012) - [j66]Nick I. M. Gould
, Philippe L. Toint
:
Erratum to: Nonlinear programming without a penalty function or a filter. Math. Program. 131(1-2): 403-404 (2012) - [j65]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization. Optim. Methods Softw. 27(2): 197-219 (2012) - [j64]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
On the Oracle Complexity of First-Order and Derivative-Free Algorithms for Smooth Nonconvex Minimization. SIAM J. Optim. 22(1): 66-86 (2012) - 2011
- [j63]Vincent Malmedy, Philippe L. Toint
:
Approximating Hessians in unconstrained optimization arising from discretized problems. Comput. Optim. Appl. 50(1): 1-22 (2011) - [j62]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results. Math. Program. 127(2): 245-295 (2011) - [j61]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity. Math. Program. 130(2): 295-319 (2011) - [j60]M'Barek Fares, Serge Gratton, Philippe L. Toint
:
Fast regularized linear sampling for inverse scattering problems. Numer. Linear Algebra Appl. 18(1): 55-68 (2011) - [j59]Serge Gratton, Mélodie Mouffe, Philippe L. Toint
:
Stopping rules and backward error analysis for bound-constrained optimization. Numerische Mathematik 119(1): 163-187 (2011) - [j58]Serge Gratton, Philippe L. Toint
, Anke Tröltzsch:
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Optim. Methods Softw. 26(4-5): 873-894 (2011) - [j57]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint
:
On the Evaluation Complexity of Composite Function Minimization with Applications to Nonconvex Nonlinear Programming. SIAM J. Optim. 21(4): 1721-1739 (2011) - [j56]Serge Gratton, Philippe L. Toint, Jean Tshimanga Ilunga:
Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems. SIAM J. Matrix Anal. Appl. 32(3): 969-986 (2011) - 2010
- [j55]Nicholas I. M. Gould
, Philippe L. Toint
:
Nonlinear programming without a penalty function or a filter. Math. Program. 122(1): 155-196 (2010) - [j54]Fabian Bastin, Vincent Malmedy, Mélodie Mouffe, Philippe L. Toint
, Dimitri Tomanos:
A retrospective trust-region method for unconstrained optimization. Math. Program. 123(2): 395-418 (2010) - [j53]Philippe L. Toint
:
Book review. Optim. Methods Softw. 25(2): 333-334 (2010) - [j52]Serge Gratton, Mélodie Mouffe, Annick Sartenaer, Philippe L. Toint
, Dimitri Tomanos:
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Optim. Methods Softw. 25(3): 359-386 (2010) - [j51]Serge Gratton, Philippe L. Toint:
Approximate invariant subspaces and quasi-newton optimization methods. Optim. Methods Softw. 25(4): 507-529 (2010) - [j50]Coralia Cartis, Nicholas I. M. Gould
, Philippe L. Toint:
On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems. SIAM J. Optim. 20(6): 2833-2852 (2010) - [j49]Katya Scheinberg
, Philippe L. Toint:
Self-Correcting Geometry in Model-Based Algorithms for Derivative-Free Unconstrained Optimization. SIAM J. Optim. 20(6): 3512-3532 (2010) - [j48]Stefania Bellavia
, Coralia Cartis, Nicholas I. M. Gould
, Benedetta Morini
, Philippe L. Toint:
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares. SIAM J. Numer. Anal. 48(1): 1-29 (2010) - [j47]Fabian Bastin, Cinzia Cirillo
, Philippe L. Toint
:
Estimating Nonparametric Random Utility Models with an Application to the Value of Time in Heterogeneous Populations. Transp. Sci. 44(4): 537-549 (2010)
2000 – 2009
- 2009
- [j46]Sunyoung Kim, Masakazu Kojima, Philippe L. Toint
:
Recognizing underlying sparsity in optimization. Math. Program. 119(2): 273-303 (2009) - [j45]Philippe L. Toint
, Dimitri Tomanos, M. Weber-Mendonça
:
A multilevel algorithm for solving the trust-region subproblem. Optim. Methods Softw. 24(2): 299-311 (2009) - 2008
- [j44]Philippe L. Toint
, Ya-Xiang Yuan:
Preface. Optim. Methods Softw. 23(2): 175-176 (2008) - [j43]Serge Gratton, Annick Sartenaer, Philippe L. Toint
:
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization. SIAM J. Optim. 19(1): 414-444 (2008) - 2007
- [j42]Caroline Sainvitu
, Philippe L. Toint
:
A filter-trust-region method for simple-bound constrained optimization. Optim. Methods Softw. 22(5): 835-848 (2007) - [j41]Nicholas I. M. Gould
, Philippe L. Toint
:
FILTRANE, a Fortran 95 filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems. ACM Trans. Math. Softw. 33(1): 3 (2007) - 2006
- [j40]Fabian Bastin, Cinzia Cirillo
, Philippe L. Toint
:
An adaptive Monte Carlo algorithm for computing mixed logit estimators. Comput. Manag. Sci. 3(1): 55-79 (2006) - [j39]Fabian Bastin, Cinzia Cirillo
, Philippe L. Toint
:
Convergence theory for nonconvex stochastic programming with an application to mixed logit. Math. Program. 108(2-3): 207-234 (2006) - [j38]Christopher John Price
, Philippe L. Toint
:
Exploiting problem structure in pattern search methods for unconstrained optimization. Optim. Methods Softw. 21(3): 479-491 (2006) - 2005
- [j37]Nicholas I. M. Gould
, Dominique Orban, Annick Sartenaer, Philippe L. Toint
:
Sensitivity of trust-region algorithms to their parameters. 4OR 3(3): 227-241 (2005) - [j36]Benoît Colson, Philippe L. Toint
:
Optimizing partially separable functions without derivatives. Optim. Methods Softw. 20(4-5): 493-508 (2005) - [j35]Nick I. M. Gould
, Caroline Sainvitu
, Philippe L. Toint
:
A Filter-Trust-Region Method for Unconstrained Optimization. SIAM J. Optim. 16(2): 341-357 (2005) - 2004
- [j34]Nick I. M. Gould
, Sven Leyffer
, Philippe L. Toint:
Nonlinear programming: theory and practice. Math. Program. 100(1): 1-2 (2004) - [j33]Nick I. M. Gould
, Philippe L. Toint
:
Preprocessing for quadratic programming. Math. Program. 100(1): 95-132 (2004) - [j32]Nicholas I. M. Gould
, Sven Leyffer
, Philippe L. Toint
:
A Multidimensional Filter Algorithm for Nonlinear Equations and Nonlinear Least-Squares. SIAM J. Optim. 15(1): 17-38 (2004) - 2003
- [j31]Nicholas I. M. Gould
, Dominique Orban, Philippe L. Toint
:
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization. ACM Trans. Math. Softw. 29(4): 353-372 (2003) - [j30]Nicholas I. M. Gould
, Dominique Orban, Philippe L. Toint
:
CUTEr and SifDec: A constrained and unconstrained testing environment, revisited. ACM Trans. Math. Softw. 29(4): 373-394 (2003) - 2002
- [j29]Nicholas I. M. Gould
, Dominique Orban, Annick Sartenaer, Philippe L. Toint
:
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations. Math. Program. 92(3): 481-508 (2002) - [j28]Roger Fletcher, Sven Leyffer
, Philippe L. Toint
:
On the Global Convergence of a Filter--SQP Algorithm. SIAM J. Optim. 13(1): 44-59 (2002) - [j27]Roger Fletcher, Nicholas I. M. Gould
, Sven Leyffer
, Philippe L. Toint
, Andreas Wächter:
Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming. SIAM J. Optim. 13(3): 635-659 (2002) - 2001
- [j26]Fermín S. V. Bazán, Philippe L. Toint
:
Error analysis of signal zeros from a related companion matrix eigenvalue problem. Appl. Math. Lett. 14(7): 859-866 (2001) - [j25]Nicholas I. M. Gould
, Dominique Orban, Annick Sartenaer, Philippe L. Toint
:
Superlinear Convergence of Primal-Dual Interior Point Algorithms for Nonlinear Programming. SIAM J. Optim. 11(4): 974-1002 (2001) - [c2]Nicholas I. M. Gould, Philippe L. Toint:
Global Convergence of a Hybrid Trust-Region SQP-Filter Algorithm for General Nonlinear Programming. System Modelling and Optimization 2001: 23-54 - 2000
- [b1]Andrew R. Conn, Nicholas I. M. Gould
, Philippe L. Toint
:
Trust Region Methods. MOS-SIAM Series on Optimization, SIAM 2000, ISBN 978-0-89871-460-9, pp. 1-942 - [j24]Andrew R. Conn, Nicholas I. M. Gould
, Dominique Orban, Philippe L. Toint
:
A primal-dual trust-region algorithm for non-convex nonlinear programming. Math. Program. 87(2): 215-249 (2000)
1990 – 1999
- 1999
- [j23]Nicholas I. M. Gould
, Philippe L. Toint
:
A note on the convergence of barrier algorithms to second-order necessary points. Math. Program. 85(2): 433-438 (1999) - [j22]Nicholas I. M. Gould
, Stefano Lucidi
, Massimo Roma, Philippe L. Toint
:
Solving the Trust-Region Subproblem using the Lanczos Method. SIAM J. Optim. 9(2): 504-525 (1999) - [c1]Nicholas I. M. Gould, Philippe L. Toint:
SQP Methods for Large-Scale Nonlinear Programming. System Modelling and Optimization 1999: 149-178 - 1997
- [j21]Andrew R. Conn, Nicholas I. M. Gould, Philippe L. Toint:
On the Number of Inner Iterations Per Outer Iteration of a Globally Convergent Algorithm for Optimization with General Nonlinear Inequality Constraints and Simple Bounds. Comput. Optim. Appl. 7(1): 41-69 (1997) - [j20]Andrew R. Conn, Nicholas I. M. Gould
, Philippe L. Toint:
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds. Math. Comput. 66(217): 261-288 (1997) - [j19]Philippe L. Toint
:
Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints. Math. Program. 77: 69-94 (1997) - [j18]Andrew R. Conn, Katya Scheinberg
, Philippe L. Toint:
Recent progress in unconstrained nonlinear optimization without derivatives. Math. Program. 79: 397-414 (1997) - [j17]Michel Bierlaire
, Tsippy Lotan, Philippe L. Toint
:
On The Overspecification of Multinomial and Nested Logit Models Due to Alternative Specific Constants. Transp. Sci. 31(4): 363-371 (1997) - 1996
- [j16]Andrew R. Conn, Nicholas I. M. Gould
, Philippe L. Toint:
Numerical experiments with the LANCELOT package (Release A) for large-scale nonlinear optimization. Math. Program. 73: 73-110 (1996) - [j15]Andrew R. Conn, Nicholas I. M. Gould
, Annick Sartenaer, Philippe L. Toint:
Convergence Properties of an Augmented Lagrangian Algorithm for Optimization with a Combination of General Equality and Linear Constraints. SIAM J. Optim. 6(3): 674-703 (1996) - [j14]Andrew R. Conn, Nick I. M. Gould
, Annick Sartenaer, Philippe L. Toint:
Convergence Properties of Minimization Algorithms for Convex Constraints Using a Structured Trust Region. SIAM J. Optim. 6(4): 1059-1086 (1996) - [j13]Philippe L. Toint
:
An Assessment of Nonmonotone Linesearch Techniques for Unconstrained Optimization. SIAM J. Sci. Comput. 17(3): 725-739 (1996) - 1995
- [j12]Ingrid Bongartz, Andrew R. Conn, Nicholas I. M. Gould
, Philippe L. Toint:
CUTE: Constrained and Unconstrained Testing Environment. ACM Trans. Math. Softw. 21(1): 123-160 (1995) - 1994
- [j11]D. Burton, Philippe L. Toint
:
On the use of an inverse shortest paths algorithm for recovering linearly correlated costs. Math. Program. 63: 1-22 (1994) - [j10]Andrew R. Conn, Nicholas I. M. Gould
, Philippe L. Toint
:
A note on exploiting structure when using slack variables. Math. Program. 67: 89-97 (1994) - 1993
- [j9]Andrew R. Conn, Nick I. M. Gould
, Annick Sartenaer, Philippe L. Toint:
Global Convergence of a Class of Trust Region Algorithms for Optimization Using Inexact Projections on Convex Constraints. SIAM J. Optim. 3(1): 164-221 (1993) - 1992
- [j8]D. Burton, Philippe L. Toint:
On an instance of the inverse shortest paths problem. Math. Program. 53: 45-61 (1992) - [j7]Philippe L. Toint
, Daniel Tuyttens:
LSNNO, a FORTRAN subroutine for solving large-scale nonlinear network optimization problems. ACM Trans. Math. Softw. 18(3): 308-328 (1992) - 1991
- [j6]Andrew R. Conn, Nicholas I. M. Gould
, Philippe L. Toint:
Convergence of quasi-Newton matrices generated by the symmetric rank one update. Math. Program. 50: 177-195 (1991) - 1990
- [j5]Philippe L. Toint
, Daniel Tuyttens:
On Large Scale Nonlinear Network Optimization. Math. Program. 48: 125-159 (1990)
1980 – 1989
- 1986
- [j4]Philippe L. Toint:
Global convergence of the partitioned BFGS algorithm for convex partially separable optimization. Math. Program. 36(3): 290-306 (1986) - 1984
- [j3]Andreas Griewank
, Philippe L. Toint
:
On the existence of convex decompositions of partially separable functions. Math. Program. 28(1): 25-49 (1984) - 1983
- [j2]Robert B. Schnabel, Philippe L. Toint
:
Forcing sparsity by projecting with respect to a non-diagonally weighted frobenius norm. Math. Program. 25(1): 125-129 (1983) - 1981
- [j1]Philippe L. Toint
:
A note about sparsity exploiting quasi-Newton updates. Math. Program. 21(1): 172-181 (1981)
Coauthor Index
aka: Andrew R. Conn
aka: Nick I. M. Gould

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