Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. The evaluation complexity of finding high-order minimizers of nonconvex optimization. (English) Zbl 07822593 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5256-5289 (2023). MSC: 90C60 90C26 90C30 49M15 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5256--5289 (2023; Zbl 07822593) Full Text: DOI OA License
Gratton, S.; Jerad, S.; Toint, Ph. L. An adaptive regularization method in Banach spaces. (English) Zbl 1528.49022 Optim. Methods Softw. 38, No. 6, 1163-1179 (2023). MSC: 49K27 49M37 49M05 49M20 90C48 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 38, No. 6, 1163--1179 (2023; Zbl 1528.49022) Full Text: DOI
Gratton, Serge; Kopaničáková, Alena; Toint, Philippe L. Multilevel objective-function-free optimization with an application to neural networks training. (English) Zbl 1522.90201 SIAM J. Optim. 33, No. 4, 2772-2800 (2023). MSC: 90C30 65K05 90C26 90C06 65M55 68T07 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 33, No. 4, 2772--2800 (2023; Zbl 1522.90201) Full Text: DOI arXiv
Gratton, Serge; Jerad, Sadok; Toint, Philippe L. Convergence properties of an objective-function-free optimization regularization algorithm, including an \(\mathcal{O}(\epsilon^{-3/2})\) complexity bound. (English) Zbl 1522.90200 SIAM J. Optim. 33, No. 3, 1621-1646 (2023). MSC: 90C30 90C60 49M05 65K05 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 33, No. 3, 1621--1646 (2023; Zbl 1522.90200) Full Text: DOI arXiv
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta; Toint, Philippe Louis The impact of noise on evaluation complexity: the deterministic trust-region case. (English) Zbl 1517.90142 J. Optim. Theory Appl. 196, No. 2, 700-729 (2023). MSC: 90C30 90C60 PDFBibTeX XMLCite \textit{S. Bellavia} et al., J. Optim. Theory Appl. 196, No. 2, 700--729 (2023; Zbl 1517.90142) Full Text: DOI arXiv
Gratton, S.; Toint, Ph. L. OFFO minimization algorithms for second-order optimality and their complexity. (English) Zbl 1516.90099 Comput. Optim. Appl. 84, No. 2, 573-607 (2023). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Gratton} and \textit{Ph. L. Toint}, Comput. Optim. Appl. 84, No. 2, 573--607 (2023; Zbl 1516.90099) Full Text: DOI arXiv
Bellavia, S.; Gratton, S.; Morini, B.; Toint, Ph. L. An optimally fast objective-function-free minimization algorithm using random subspaces. arXiv:2310.16580 Preprint, arXiv:2310.16580 [math.OC] (2023). MSC: 60G99 65K05 68M20 68Q17 90C26 BibTeX Cite \textit{S. Bellavia} et al., ``An optimally fast objective-function-free minimization algorithm using random subspaces'', Preprint, arXiv:2310.16580 [math.OC] (2023) Full Text: arXiv OA License
Gratton, Serge; Jerad, Sadok; Toint, Philippe L. Yet another fast variant of Newton’s method for nonconvex optimization. arXiv:2302.10065 Preprint, arXiv:2302.10065 [math.OC] (2023). MSC: 49M37 65K05 90C26 90C30 BibTeX Cite \textit{S. Gratton} et al., ``Yet another fast variant of Newton's method for nonconvex optimization'', Preprint, arXiv:2302.10065 [math.OC] (2023) Full Text: arXiv OA License
Bellavia, S.; Gurioli, G.; Morini, B.; Toint, Ph. L. Trust-region algorithms: probabilistic complexity and intrinsic noise with applications to subsampling techniques. (English) Zbl 07711262 EURO J. Comput. Optim. 10, Article ID 100043, 37 p. (2022). MSC: 90C30 90C26 90C59 65K05 PDFBibTeX XMLCite \textit{S. Bellavia} et al., EURO J. Comput. Optim. 10, Article ID 100043, 37 p. (2022; Zbl 07711262) Full Text: DOI arXiv
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Evaluation complexity of algorithms for nonconvex optimization. Theory, computation and perspectives. (English) Zbl 1520.90002 MOS-SIAM Series on Optimization 30. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-698-4/hbk; 978-1-61197-699-1/ebook). xviii, 531 p. (2022). Reviewer: Julien Ugon (Burwood) MSC: 90-02 90C26 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Evaluation complexity of algorithms for nonconvex optimization. Theory, computation and perspectives. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2022; Zbl 1520.90002) Full Text: DOI
Bellavia, S.; Gurioli, G.; Morini, B.; Toint, Ph. L. Adaptive regularization for nonconvex optimization using inexact function values and randomly perturbed derivatives. (English) Zbl 1481.90287 J. Complexity 68, Article ID 101591, 25 p. (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Bellavia} et al., J. Complexity 68, Article ID 101591, 25 p. (2022; Zbl 1481.90287) Full Text: DOI arXiv
Gratton, S.; Jerad, S.; Toint, Ph. L. First-Order Objective-Function-Free Optimization Algorithms and Their Complexity. arXiv:2203.01757 Preprint, arXiv:2203.01757 [math.OC] (2022). MSC: 90C60 90C30 90C15 90C26 49N30 BibTeX Cite \textit{S. Gratton} et al., ``First-Order Objective-Function-Free Optimization Algorithms and Their Complexity'', Preprint, arXiv:2203.01757 [math.OC] (2022) Full Text: arXiv OA License
Gratton, S.; Jerad, S.; Toint, Ph. L. Complexity of a Class of First-Order Objective-Function-Free Optimization Algorithms. arXiv:2203.01647 Preprint, arXiv:2203.01647 [math.OC] (2022). MSC: 90C60 90C30 90C15 90C26 49N30 BibTeX Cite \textit{S. Gratton} et al., ``Complexity of a Class of First-Order Objective-Function-Free Optimization Algorithms'', Preprint, arXiv:2203.01647 [math.OC] (2022) Full Text: arXiv OA License
Chen, X.; Toint, Ph. L. High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. (English) Zbl 1465.90095 Math. Program. 187, No. 1-2 (A), 47-78 (2021). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Ph. L. Toint}, Math. Program. 187, No. 1--2 (A), 47--78 (2021; Zbl 1465.90095) Full Text: DOI arXiv
Gratton, S.; Simon, E.; Toint, Ph. L. An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity. (English) Zbl 1465.90071 Math. Program. 187, No. 1-2 (A), 1-24 (2021). MSC: 90C26 65K05 49N30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Math. Program. 187, No. 1--2 (A), 1--24 (2021; Zbl 1465.90071) Full Text: DOI arXiv Link
Gratton, Serge; Simon, Ehouarn; Titley-Peloquin, David; Toint, Philippe L. Minimizing convex quadratics with variable precision conjugate gradients. (English) Zbl 07332751 Numer. Linear Algebra Appl. 28, No. 1, e2337, 20 p. (2021). MSC: 90C20 65K05 PDFBibTeX XMLCite \textit{S. Gratton} et al., Numer. Linear Algebra Appl. 28, No. 1, e2337, 20 p. (2021; Zbl 07332751) Full Text: DOI arXiv
Gratton, Serge; Toint, Philippe L. OPM, a collection of Optimization Problems in Matlab. arXiv:2112.05636 Preprint, arXiv:2112.05636 [math.OC] (2021). MSC: 90C25 90C26 90C30 BibTeX Cite \textit{S. Gratton} and \textit{P. L. Toint}, ``OPM, a collection of Optimization Problems in Matlab'', Preprint, arXiv:2112.05636 [math.OC] (2021) Full Text: arXiv OA License
Gould, N. I. M.; Toint, Ph. L. An adaptive regularization algorithm for unconstrained optimization with inexact function and derivatives values. arXiv:2111.14098 Preprint, arXiv:2111.14098 [math.OC] (2021). MSC: 49M37 90C26 90C30 90C56 BibTeX Cite \textit{N. I. M. Gould} and \textit{Ph. L. Toint}, ``An adaptive regularization algorithm for unconstrained optimization with inexact function and derivatives values'', Preprint, arXiv:2111.14098 [math.OC] (2021) Full Text: arXiv OA License
Gratton, Serge; Jerad, Sadok; Toint, Philippe L. Hölder Gradient Descent and Adaptive Regularization Methods in Banach Spaces for First-Order Points. arXiv:2104.02564 Preprint, arXiv:2104.02564 [math.OC] (2021). MSC: 49K27 49M37 49M05 49M20 90C48 90C26 90C30 BibTeX Cite \textit{S. Gratton} et al., ``H\"older Gradient Descent and Adaptive Regularization Methods in Banach Spaces for First-Order Points'', Preprint, arXiv:2104.02564 [math.OC] (2021) Full Text: arXiv OA License
Gratton, S.; Toint, Ph. L. A note on solving nonlinear optimization problems in variable precision. (English) Zbl 1446.90149 Comput. Optim. Appl. 76, No. 3, 917-933 (2020). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Gratton} and \textit{Ph. L. Toint}, Comput. Optim. Appl. 76, No. 3, 917--933 (2020; Zbl 1446.90149) Full Text: DOI arXiv
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints. (English) Zbl 1437.90128 SIAM J. Optim. 30, No. 1, 513-541 (2020). MSC: 90C26 90C60 68Q25 65K05 49M37 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 30, No. 1, 513--541 (2020; Zbl 1437.90128) Full Text: DOI arXiv
Cartis, Coralia; Gould, N. I. M.; Toint, Ph. L. A concise second-order complexity analysis for unconstrained optimization using high-order regularized models. (English) Zbl 1439.90056 Optim. Methods Softw. 35, No. 2, 243-256 (2020). MSC: 90C26 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Optim. Methods Softw. 35, No. 2, 243--256 (2020; Zbl 1439.90056) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. Strong Evaluation Complexity of An Inexact Trust-Region Algorithm for Arbitrary-Order Unconstrained Nonconvex Optimization. arXiv:2011.00854 Preprint, arXiv:2011.00854 [math.OC] (2020). MSC: 65Y20 90C30 90C60 BibTeX Cite \textit{C. Cartis} et al., ``Strong Evaluation Complexity of An Inexact Trust-Region Algorithm for Arbitrary-Order Unconstrained Nonconvex Optimization'', Preprint, arXiv:2011.00854 [math.OC] (2020) Full Text: arXiv OA License
Cartis, Coralia; Gould, Nick; Toint, Philippe L. Strong Evaluation Complexity Bounds for Arbitrary-Order Optimization of Nonconvex Nonsmooth Composite Functions. arXiv:2001.10802 Preprint, arXiv:2001.10802 [math.OC] (2020). MSC: 90C60 90C46 90C30 90C26 65K10 49M37 BibTeX Cite \textit{C. Cartis} et al., ``Strong Evaluation Complexity Bounds for Arbitrary-Order Optimization of Nonconvex Nonsmooth Composite Functions'', Preprint, arXiv:2001.10802 [math.OC] (2020) Full Text: arXiv OA License
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta; Toint, Philippe L. Adaptive regularization algorithms with inexact evaluations for nonconvex optimization. (English) Zbl 1427.90228 SIAM J. Optim. 29, No. 4, 2881-2915 (2019). MSC: 90C26 49M37 65K05 68T05 68W40 PDFBibTeX XMLCite \textit{S. Bellavia} et al., SIAM J. Optim. 29, No. 4, 2881--2915 (2019; Zbl 1427.90228) Full Text: DOI arXiv
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models. (English) Zbl 1425.90113 Demetriou, Ioannis (ed.) et al., Approximation and optimization. Algorithms, complexity and applications. Based on the conference on approximation and optimization: algorithms, complexity, and applications, National and Kapodistrian University of Athens, Athens, Greece, June 29–30, 2017. Cham: Springer. Springer Optim. Appl. 145, 5-26 (2019). MSC: 90C30 90C59 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Springer Optim. Appl. 145, 5--26 (2019; Zbl 1425.90113) Full Text: DOI Link
Porcelli, Margherita; Toint, Philippe L. A note on using performance and data profiles for training algorithms. (English) Zbl 1471.68328 ACM Trans. Math. Softw. 45, No. 2, Article No. 20, 10 p. (2019). MSC: 68W40 90C11 90C56 PDFBibTeX XMLCite \textit{M. Porcelli} and \textit{P. L. Toint}, ACM Trans. Math. Softw. 45, No. 2, Article No. 20, 10 p. (2019; Zbl 1471.68328) Full Text: DOI arXiv
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. Optimality of orders one to three and beyond: characterization and evaluation complexity in constrained nonconvex optimization. (English) Zbl 1415.90118 J. Complexity 53, 68-94 (2019). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{C. Cartis} et al., J. Complexity 53, 68--94 (2019; Zbl 1415.90118) Full Text: DOI arXiv
Chen, Xiaojun; Toint, Ph. L.; Wang, H. Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. (English) Zbl 1411.90318 SIAM J. Optim. 29, No. 1, 874-903 (2019). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Optim. 29, No. 1, 874--903 (2019; Zbl 1411.90318) Full Text: DOI arXiv
Cartis, Coralia; Gould, Nick I.; Toint, Philippe L. Universal regularization methods: varying the power, the smoothness and the accuracy. (English) Zbl 1436.90136 SIAM J. Optim. 29, No. 1, 595-615 (2019). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 29, No. 1, 595--615 (2019; Zbl 1436.90136) Full Text: DOI arXiv
Janjic, Tijana; Ruckstuhl, Yvonne; Toint, Philippe L. An algorithm for optimization with disjoint linear constraints and its application for predicting rain. arXiv:1909.04991 Preprint, arXiv:1909.04991 [math.OC] (2019). MSC: 65K05 90C20 86A10 BibTeX Cite \textit{T. Janjic} et al., ``An algorithm for optimization with disjoint linear constraints and its application for predicting rain'', Preprint, arXiv:1909.04991 [math.OC] (2019) Full Text: arXiv OA License
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization. (English) Zbl 1451.90177 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3711-3750 (2018). MSC: 90C60 90C26 90C30 PDFBibTeX XMLCite \textit{C. Cartis} et al., in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3711--3750 (2018; Zbl 1451.90177) Full Text: DOI arXiv
Cartis, Coralia; Gould, Nick I. M.; Toint, Philippe L. Second-order optimality and beyond: characterization and evaluation complexity in convexly constrained nonlinear optimization. (English) Zbl 1405.90125 Found. Comput. Math. 18, No. 5, 1073-1107 (2018). MSC: 90C30 68Q25 65K05 49M37 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Found. Comput. Math. 18, No. 5, 1073--1107 (2018; Zbl 1405.90125) Full Text: DOI Link
Morini, Benedetta; Porcelli, Margherita; Toint, Philippe L. Approximate norm descent methods for constrained nonlinear systems. (English) Zbl 1383.65051 Math. Comput. 87, No. 311, 1327-1351 (2018). MSC: 65H10 65K05 90C25 90C53 90C56 PDFBibTeX XMLCite \textit{B. Morini} et al., Math. Comput. 87, No. 311, 1327--1351 (2018; Zbl 1383.65051) Full Text: DOI
Porcelli, Margherita; Toint, Philippe L. BFO, a trainable derivative-free brute force optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete variables. (English) Zbl 1484.65136 ACM Trans. Math. Softw. 44, No. 1, Article No. 6, 25 p. (2017). MSC: 65K10 65K05 90C56 PDFBibTeX XMLCite \textit{M. Porcelli} and \textit{P. L. Toint}, ACM Trans. Math. Softw. 44, No. 1, Article No. 6, 25 p. (2017; Zbl 1484.65136) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. Worst-case evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients. (English) Zbl 1380.90252 Optim. Methods Softw. 32, No. 6, 1273-1298 (2017). MSC: 90C30 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Optim. Methods Softw. 32, No. 6, 1273--1298 (2017; Zbl 1380.90252) Full Text: DOI Link
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L. Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models. (English) Zbl 1365.90236 Math. Program. 163, No. 1-2 (A), 359-368 (2017). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Math. Program. 163, No. 1--2 (A), 359--368 (2017; Zbl 1365.90236) Full Text: DOI
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. Corrigendum to: “On the complexity of finding first-order critical points in constrained nonlinear optimization”. (English) Zbl 1472.68066 Math. Program. 161, No. 1-2 (A), 611-626 (2017). MSC: 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 161, No. 1--2 (A), 611--626 (2017; Zbl 1472.68066) Full Text: DOI
Curtis, Frank E.; Gould, Nicholas I. M.; Robinson, Daniel P.; Toint, Philippe L. An interior-point trust-funnel algorithm for nonlinear optimization. (English) Zbl 1355.65075 Math. Program. 161, No. 1-2 (A), 73-134 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 49M37 90C26 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 161, No. 1--2 (A), 73--134 (2017; Zbl 1355.65075) Full Text: DOI Link
Gratton, Serge; Gürol, Selime; Simon, Ehouarn; Toint, Philippe L. A note on preconditioning weighted linear least squares, with consequences for weakly-constrained variational data assimilation. arXiv:1709.09031 Preprint, arXiv:1709.09031 [math.NA] (2017). MSC: 86A10 90C06 90C30 15A12 BibTeX Cite \textit{S. Gratton} et al., ``A note on preconditioning weighted linear least squares, with consequences for weakly-constrained variational data assimilation'', Preprint, arXiv:1709.09031 [math.NA] (2017) Full Text: DOI arXiv OA License
Jarre, Florian; Toint, Philippe L. Simple examples for the failure of Newton’s method with line search for strictly convex minimization. (English) Zbl 1346.90665 Math. Program. 158, No. 1-2 (A), 23-34 (2016). MSC: 90C25 49M15 PDFBibTeX XMLCite \textit{F. Jarre} and \textit{P. L. Toint}, Math. Program. 158, No. 1--2 (A), 23--34 (2016; Zbl 1346.90665) Full Text: DOI
Sampaio, Ph. R.; Toint, Ph. L. Numerical experience with a derivative-free trust-funnel method for nonlinear optimization problems with general nonlinear constraints. (English) Zbl 1369.90138 Optim. Methods Softw. 31, No. 3, 511-534 (2016). MSC: 90C26 90C56 PDFBibTeX XMLCite \textit{Ph. R. Sampaio} and \textit{Ph. L. Toint}, Optim. Methods Softw. 31, No. 3, 511--534 (2016; Zbl 1369.90138) Full Text: DOI
Birgin, E. G.; Gardenghi, J. L.; Martínez, J. M.; Santos, S. A.; Toint, Ph. L. Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models. (English) Zbl 1335.90094 SIAM J. Optim. 26, No. 2, 951-967 (2016). MSC: 90C30 65K05 49M05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., SIAM J. Optim. 26, No. 2, 951--967 (2016; Zbl 1335.90094) Full Text: DOI
Gould, Nick I. M.; Orban, Dominique; Toint, Philippe L. An interior-point \(\ell_1\)-penalty method for nonlinear optimization. (English) Zbl 1330.65085 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 117-150 (2015). MSC: 65K05 90C26 90C51 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Springer Proc. Math. Stat. 134, 117--150 (2015; Zbl 1330.65085) Full Text: DOI
Gratton, S.; Malmedy, V.; Toint, Ph. L. Quasi-Newton updates with weighted secant equations. (English) Zbl 1356.90162 Optim. Methods Softw. 30, No. 4, 748-755 (2015). MSC: 90C53 90C30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 30, No. 4, 748--755 (2015; Zbl 1356.90162) Full Text: DOI Link
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L. CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. (English) Zbl 1325.90004 Comput. Optim. Appl. 60, No. 3, 545-557 (2015). MSC: 90-04 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 60, No. 3, 545--557 (2015; Zbl 1325.90004) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods. (English) Zbl 1329.65124 SIAM J. Numer. Anal. 53, No. 2, 836-851 (2015). MSC: 65K05 68Q25 90C26 90C30 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Numer. Anal. 53, No. 2, 836--851 (2015; Zbl 1329.65124) Full Text: DOI Link
Cartis, C.; Sampaio, Ph. R.; Toint, Ph. L. Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization. (English) Zbl 1342.90180 Optimization 64, No. 5, 1349-1361 (2015). MSC: 90C30 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., Optimization 64, No. 5, 1349--1361 (2015; Zbl 1342.90180) Full Text: DOI
Sampaio, Ph. R.; Toint, Ph. L. A derivative-free trust-funnel method for equality-constrained nonlinear optimization. (English) Zbl 1311.90187 Comput. Optim. Appl. 61, No. 1, 25-49 (2015). MSC: 90C56 90C30 PDFBibTeX XMLCite \textit{Ph. R. Sampaio} and \textit{Ph. L. Toint}, Comput. Optim. Appl. 61, No. 1, 25--49 (2015; Zbl 1311.90187) Full Text: DOI
Gratton, Serge; Rincon-Camacho, Monserrat; Simon, Ehouarn; Toint, Philippe L. Observation thinning in data assimilation computations. (English) Zbl 1307.90104 EURO J. Comput. Optim. 3, No. 1, 31-51 (2015). MSC: 90C06 90C90 65F08 93E24 93E11 PDFBibTeX XMLCite \textit{S. Gratton} et al., EURO J. Comput. Optim. 3, No. 1, 31--51 (2015; Zbl 1307.90104) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the complexity of finding first-order critical points in constrained nonlinear optimization. (English) Zbl 1301.68154 Math. Program. 144, No. 1-2 (A), 93-106 (2014); corrigendum ibid. 161, No. 1-2 (A), 611-626 (2017). MSC: 68Q25 90C60 90C30 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 144, No. 1--2 (A), 93--106 (2014; Zbl 1301.68154) Full Text: DOI Link
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization. (English) Zbl 1277.68092 SIAM J. Optim. 23, No. 3, 1553-1574 (2013). MSC: 68Q25 90C60 90C30 90C26 65K05 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 23, No. 3, 1553--1574 (2013; Zbl 1277.68092) Full Text: DOI Link
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. A note about the complexity of minimizing Nesterov’s smooth Chebyshev-Rosenbrock function. (English) Zbl 1273.90199 Optim. Methods Softw. 28, No. 3, 451-457 (2013). MSC: 90C30 65K05 90C60 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., Optim. Methods Softw. 28, No. 3, 451--457 (2013; Zbl 1273.90199) Full Text: DOI
Toint, Philippe L. Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization. (English) Zbl 1270.90078 Optim. Methods Softw. 28, No. 1, 82-95 (2013). MSC: 90C30 PDFBibTeX XMLCite \textit{P. L. Toint}, Optim. Methods Softw. 28, No. 1, 82--95 (2013; Zbl 1270.90078) Full Text: DOI
Gratton, Serge; Gürol, Selime; Toint, Philippe L. Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. (English) Zbl 1267.90093 Comput. Optim. Appl. 54, No. 1, 1-25 (2013). MSC: 90C20 90C52 PDFBibTeX XMLCite \textit{S. Gratton} et al., Comput. Optim. Appl. 54, No. 1, 1--25 (2013; Zbl 1267.90093) Full Text: DOI
Gould, N. I. M.; Porcelli, M.; Toint, P. L. Updating the regularization parameter in the adaptive cubic regularization algorithm. (English) Zbl 1259.90134 Comput. Optim. Appl. 53, No. 1, 1-22 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 53, No. 1, 1--22 (2012; Zbl 1259.90134) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity. (English) Zbl 1267.65061 IMA J. Numer. Anal. 32, No. 4, 1662-1695 (2012). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 90C25 90C30 65Y20 PDFBibTeX XMLCite \textit{C. Cartis} et al., IMA J. Numer. Anal. 32, No. 4, 1662--1695 (2012; Zbl 1267.65061) Full Text: DOI Link
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization. (English) Zbl 1250.90083 SIAM J. Optim. 22, No. 1, 66-86 (2012). MSC: 90C30 90C26 65K05 49M37 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 22, No. 1, 66--86 (2012; Zbl 1250.90083) Full Text: DOI Link
Gratton, Serge; Malmedy, Vincent; Toint, Philippe L. Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. (English) Zbl 1245.90122 Comput. Optim. Appl. 51, No. 3, 967-979 (2012). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{S. Gratton} et al., Comput. Optim. Appl. 51, No. 3, 967--979 (2012; Zbl 1245.90122) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization. (English) Zbl 1252.90061 Optim. Methods Softw. 27, No. 2, 197-219 (2012). MSC: 90C25 PDFBibTeX XMLCite \textit{C. Cartis} et al., Optim. Methods Softw. 27, No. 2, 197--219 (2012; Zbl 1252.90061) Full Text: DOI Link
Gould, N. I. M.; Toint, Ph. L. Erratum to: “Nonlinear programming without a penalty function or a filter”. (English) Zbl 1235.90118 Math. Program. 131, No. 1-2 (A), 403-404 (2012). MSC: 90C26 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{Ph. L. Toint}, Math. Program. 131, No. 1--2 (A), 403--404 (2012; Zbl 1235.90118) Full Text: DOI
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. Complexity bounds for second-order optimality in unconstrained optimization. (English) Zbl 1245.65063 J. Complexity 28, No. 1, 93-108 (2012). Reviewer: Akrur Behera (Rourkela) MSC: 65K05 90C26 90C51 PDFBibTeX XMLCite \textit{C. Cartis} et al., J. Complexity 28, No. 1, 93--108 (2012; Zbl 1245.65063) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming. (English) Zbl 1236.90118 SIAM J. Optim. 21, No. 4, 1721-1739 (2011). MSC: 90C30 90C26 65K05 49M05 49M37 58C15 90C60 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 21, No. 4, 1721--1739 (2011; Zbl 1236.90118) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Adaptive cubic regularisation methods for unconstrained optimization. II: Worst-case function- and derivative-evaluation complexity. (English) Zbl 1229.90193 Math. Program. 130, No. 2 (A), 295-319 (2011). MSC: 90C30 65K05 49M37 49M15 58C15 90C60 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 130, No. 2 (A), 295--319 (2011; Zbl 1229.90193) Full Text: DOI
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. (English) Zbl 1229.90138 Optim. Methods Softw. 26, No. 4-5, 873-894 (2011). MSC: 90C26 90C56 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 26, No. 4--5, 873--894 (2011; Zbl 1229.90138) Full Text: DOI
Malmedy, Vincent; Toint, Philippe L. Approximating Hessians in unconstrained optimization arising from discretized problems. (English) Zbl 1228.90117 Comput. Optim. Appl. 50, No. 1, 1-22 (2011). MSC: 90C30 PDFBibTeX XMLCite \textit{V. Malmedy} and \textit{P. L. Toint}, Comput. Optim. Appl. 50, No. 1, 1--22 (2011; Zbl 1228.90117) Full Text: DOI
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L. Stopping rules and backward error analysis for bound-constrained optimization. (English) Zbl 1228.65088 Numer. Math. 119, No. 1, 163-187 (2011). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Numer. Math. 119, No. 1, 163--187 (2011; Zbl 1228.65088) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. (English) Zbl 1229.90192 Math. Program. 127, No. 2 (A), 245-295 (2011). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 65K05 49M37 49M15 58C15 65F10 65H05 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 127, No. 2 (A), 245--295 (2011; Zbl 1229.90192) Full Text: DOI
Scheinberg, K.; Toint, Ph. L. Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization. (English) Zbl 1209.65017 SIAM J. Optim. 20, No. 6, 3512-3532 (2010). MSC: 65D05 90C30 90C56 PDFBibTeX XMLCite \textit{K. Scheinberg} and \textit{Ph. L. Toint}, SIAM J. Optim. 20, No. 6, 3512--3532 (2010; Zbl 1209.65017) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, Ph. L. On the complexity of steepest descent, Newton’s and regularized Newton’s methods for nonconvex unconstrained optimization problems. (English) Zbl 1211.90225 SIAM J. Optim. 20, No. 6, 2833-2852 (2010). MSC: 90C30 65K05 49M37 49M15 49M05 58C15 90C60 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 20, No. 6, 2833--2852 (2010; Zbl 1211.90225) Full Text: DOI Link
Bellavia, S.; Cartis, C.; Gould, N. I. M.; Morini, B.; Toint, Ph. L. Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares. (English) Zbl 1218.90182 SIAM J. Numer. Anal. 48, No. 1, 1-29 (2010). Reviewer: Do Van Luu (Hanoi) MSC: 90C30 65K05 90C26 90C06 PDFBibTeX XMLCite \textit{S. Bellavia} et al., SIAM J. Numer. Anal. 48, No. 1, 1--29 (2010; Zbl 1218.90182) Full Text: DOI Link
Gratton, Serge; Toint, Philippe L. Approximate invariant subspaces and quasi-Newton optimization methods. (English) Zbl 1202.90272 Optim. Methods Softw. 25, No. 4, 507-529 (2010). MSC: 90C53 90C06 PDFBibTeX XMLCite \textit{S. Gratton} and \textit{P. L. Toint}, Optim. Methods Softw. 25, No. 4, 507--529 (2010; Zbl 1202.90272) Full Text: DOI
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L. Formulation and solution strategies for nonparametric nonlinear stochastic programmes with an application in finance. (English) Zbl 1202.90202 Optimization 59, No. 3-4, 355-376 (2010). MSC: 90C15 PDFBibTeX XMLCite \textit{F. Bastin} et al., Optimization 59, No. 3--4, 355--376 (2010; Zbl 1202.90202) Full Text: DOI
Gratton, Serge; Mouffe, Mélodie; Sartenaer, Annick; Toint, Philippe L.; Tomanos, Dimitri Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. (English) Zbl 1190.90209 Optim. Methods Softw. 25, No. 3, 359-386 (2010). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 25, No. 3, 359--386 (2010; Zbl 1190.90209) Full Text: DOI
Bastin, Fabian; Malmedy, Vincent; Mouffe, Mélodie; Toint, Philippe L.; Tomanos, Dimitri A retrospective trust-region method for unconstrained optimization. (English) Zbl 1196.65101 Math. Program. 123, No. 2 (A), 395-418 (2010). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{F. Bastin} et al., Math. Program. 123, No. 2 (A), 395--418 (2010; Zbl 1196.65101) Full Text: DOI
Gould, N. I. M.; Toint, Ph. L. Nonlinear programming without a penalty function or a filter. (English) Zbl 1216.90069 Math. Program. 122, No. 1 (A), 155-196 (2010). MSC: 90C26 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{Ph. L. Toint}, Math. Program. 122, No. 1 (A), 155--196 (2010; Zbl 1216.90069) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, P. L. Trust-region and other regularisations of linear least-squares problems. (English) Zbl 1165.65019 BIT 49, No. 1, 21-53 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F22 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 49, No. 1, 21--53 (2009; Zbl 1165.65019) Full Text: DOI Link
Kim, Sunyoung; Kojima, Masakazu; Toint, Philippe Recognizing underlying sparsity in optimization. (English) Zbl 1163.90026 Math. Program. 119, No. 2 (A), 273-303 (2009). MSC: 90C30 90C22 65K05 PDFBibTeX XMLCite \textit{S. Kim} et al., Math. Program. 119, No. 2 (A), 273--303 (2009; Zbl 1163.90026) Full Text: DOI
Toint, Philippe L.; Tomanos, D.; Weber-Mendonça, M. A multilevel algorithm for solving the trust-region subproblem. (English) Zbl 1179.90315 Optim. Methods Softw. 24, No. 2, 299-311 (2009). MSC: 90C30 PDFBibTeX XMLCite \textit{P. L. Toint} et al., Optim. Methods Softw. 24, No. 2, 299--311 (2009; Zbl 1179.90315) Full Text: DOI
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L. Recursive trust-region methods for multiscale nonlinear optimization. (English) Zbl 1163.90024 SIAM J. Optim. 19, No. 1, 414-444 (2008). MSC: 90C30 65K05 90C26 90C06 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 19, No. 1, 414--444 (2008; Zbl 1163.90024) Full Text: DOI
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.; Weber-Mendonça, Melissa A recursive \(\ell_{\infty}\)-trust-region method for bound-constrained nonlinear optimization. (English) Zbl 1156.65060 IMA J. Numer. Anal. 28, No. 4, 827-861 (2008). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C06 90C51 PDFBibTeX XMLCite \textit{S. Gratton} et al., IMA J. Numer. Anal. 28, No. 4, 827--861 (2008; Zbl 1156.65060) Full Text: DOI
Sainvitu, Caroline; Toint, Philippe L. A filter-trust-region method for simple-bound constrained optimization. (English) Zbl 1169.90458 Optim. Methods Softw. 22, No. 5, 835-848 (2007). MSC: 90C30 65K05 90C26 90C06 PDFBibTeX XMLCite \textit{C. Sainvitu} and \textit{P. L. Toint}, Optim. Methods Softw. 22, No. 5, 835--848 (2007; Zbl 1169.90458) Full Text: DOI
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L. Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization. (English) Zbl 1132.65054 J. Comput. Math. 24, No. 6, 676-692 (2006). MSC: 65K05 90C26 90C51 PDFBibTeX XMLCite \textit{S. Gratton} et al., J. Comput. Math. 24, No. 6, 676--692 (2006; Zbl 1132.65054)
Gould, Nicholas I. M.; Toint, Philippe L. Global convergence of a non-monotone trust-region filter algorithm for nonlinear programming. (English) Zbl 1130.90399 Hager, William W. (ed.) et al., Multiscale optimization methods and applications. Selected papers based on the presentation at the conference, Gainesville, FL, USA, February 26–28, 2004. New York, NY: Springer (ISBN 0-387-29549-6/hbk). Nonconvex Optimization and Its Applications 82, 125-150 (2006). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{P. L. Toint}, Nonconvex Optim. Appl. 82, 125--150 (2006; Zbl 1130.90399)
Bastin, Fabian; Cirillo, Cinzia; Toint, Philippe L. Convergence theory for nonconvex stochastic programming with an application to mixed logit. (English) Zbl 1130.90371 Math. Program. 108, No. 2-3 (B), 207-234 (2006). MSC: 90C15 65C05 PDFBibTeX XMLCite \textit{F. Bastin} et al., Math. Program. 108, No. 2--3 (B), 207--234 (2006; Zbl 1130.90371) Full Text: DOI
Price, C. J.; Toint, Ph. L. Exploiting problem structure in pattern search methods for unconstrained optimization. (English) Zbl 1136.90516 Optim. Methods Softw. 21, No. 3, 479-491 (2006). MSC: 90C56 90C59 PDFBibTeX XMLCite \textit{C. J. Price} and \textit{Ph. L. Toint}, Optim. Methods Softw. 21, No. 3, 479--491 (2006; Zbl 1136.90516) Full Text: DOI
Gould, Nick; Orban, Dominique; Toint, Philippe Numerical methods for large-scale nonlinear optimization. (English) Zbl 1119.65337 Acta Numerica 14, 299-361 (2005). MSC: 65K05 PDFBibTeX XMLCite \textit{N. Gould} et al., Acta Numerica 14, 299--361 (2005; Zbl 1119.65337) Full Text: DOI
Gould, Nick I. M.; Sainvitu, Caroline; Toint, Philippe L. A filter-trust-region method for unconstrained optimization. (English) Zbl 1122.90074 SIAM J. Optim. 16, No. 2, 341-357 (2005). MSC: 90C30 65K05 90C26 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Optim. 16, No. 2, 341--357 (2005; Zbl 1122.90074) Full Text: DOI Link
Gould, Nicholas I. M.; Orban, Dominique; Sartenaer, Annick; Toint, Phillipe L. Sensitivity of trust-region algorithms to their parameters. (English) Zbl 1086.65060 4OR 3, No. 3, 227-241 (2005). MSC: 65K05 90C26 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., 4OR 3, No. 3, 227--241 (2005; Zbl 1086.65060) Full Text: DOI Link
Colson, Benoît; Toint, Philippe L. Optimizing partially separable functions without derivatives. (English) Zbl 1152.90659 Optim. Methods Softw. 20, No. 4-5, 493-508 (2005). MSC: 90C56 65K05 PDFBibTeX XMLCite \textit{B. Colson} and \textit{P. L. Toint}, Optim. Methods Softw. 20, No. 4--5, 493--508 (2005; Zbl 1152.90659) Full Text: DOI
Gould, Nick; Toint, Philippe L. How mature is nonlinear optimization? (English) Zbl 1146.90515 Hill, James M. (ed.) et al., Applied mathematics entering the 21st century. Papers from the 5th international congress on industrial and applied mathematics (ICIAM 2003), Sydney, Australia, July 7–11, 2003. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-89871-559-0/hbk). Proceedings in Applied Mathematics 116, 141-161 (2004). MSC: 90C30 PDFBibTeX XMLCite \textit{N. Gould} and \textit{P. L. Toint}, Proc. Appl. Math. 116, 141--161 (2004; Zbl 1146.90515)
Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L. A multidimensional filter algorithm for nonlinear equations and nonlinear least-squares. (English) Zbl 1075.65075 SIAM J. Optim. 15, No. 1, 17-38 (2004). MSC: 65H10 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Optim. 15, No. 1, 17--38 (2004; Zbl 1075.65075) Full Text: DOI
Gould, Nick; Toint, Philippe L. Preprocessing for quadratic programming. (English) Zbl 1146.90491 Math. Program. 100, No. 1 (B), 95-132 (2004). MSC: 90C20 PDFBibTeX XMLCite \textit{N. Gould} and \textit{P. L. Toint}, Math. Program. 100, No. 1 (B), 95--132 (2004; Zbl 1146.90491) Full Text: DOI Link
Gould, Nick; Leyffer, Sven; Toint, Philippe Preface: Nonlinear programming: theory and practice. Celebrating the 65th birthday of Roger Fletcher. (English) Zbl 1075.90504 Math. Program. 100, No. 1 (B), 1-2 (2004). MSC: 90-06 00B30 PDFBibTeX XMLCite \textit{N. Gould} et al., Math. Program. 100, No. 1 (B), 1--2 (2004; Zbl 1075.90504) Full Text: DOI
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L. CUTEr and SifDec: a constrained and unconstrained testing environment, revisited. (English) Zbl 1068.90526 ACM Trans. Math. Softw. 29, No. 4, 373-394 (2003). MSC: 90-04 90C30 65K05 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., ACM Trans. Math. Softw. 29, No. 4, 373--394 (2003; Zbl 1068.90526) Full Text: DOI
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L. GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization. (English) Zbl 1068.90525 ACM Trans. Math. Softw. 29, No. 4, 353-372 (2003). MSC: 90-04 90C06 90C20 65K05 65Y10 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., ACM Trans. Math. Softw. 29, No. 4, 353--372 (2003; Zbl 1068.90525) Full Text: DOI Link
Gould, Nick; Toint, Philippe L. Global convergence of a hybrid trust-region SQP-filter algorithm for general nonlinear programming. (English) Zbl 1063.90052 Sachs, E. W. (ed.) et al., System modeling and optimization XX. IFIP TC7, 20th conference on system modeling and optimization, Trier, Germany, July 23–37, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-7565-0/hbk). IFIP, Int. Fed. Inf. Process. 130, 23-54 (2003). MSC: 90C30 PDFBibTeX XMLCite \textit{N. Gould} and \textit{P. L. Toint}, IFIP, Int. Fed. Inf. Process. 130, 23--54 (2003; Zbl 1063.90052)
Gould, Nicholas I. M.; Toint, Philippe L. An iterative working-set method for large-scale nonconvex quadratic programming. (English) Zbl 1012.65054 Appl. Numer. Math. 43, No. 1-2, 109-128 (2002). MSC: 65K05 65F10 65F35 90C06 90C20 90C52 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{P. L. Toint}, Appl. Numer. Math. 43, No. 1--2, 109--128 (2002; Zbl 1012.65054) Full Text: DOI
Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. (English) Zbl 1038.90076 SIAM J. Optim. 13, No. 3, 635-659 (2002). Reviewer: H. Ratschek (Düsseldorf) MSC: 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{R. Fletcher} et al., SIAM J. Optim. 13, No. 3, 635--659 (2002; Zbl 1038.90076) Full Text: DOI
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. On the global convergence of a filter-SQP algorithm. (English) Zbl 1029.65063 SIAM J. Optim. 13, No. 1, 44-59 (2002). Reviewer: S.Zlobec (Montreal) MSC: 65K05 49M37 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{R. Fletcher} et al., SIAM J. Optim. 13, No. 1, 44--59 (2002; Zbl 1029.65063) Full Text: DOI