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2021
High-Order Evaluation Complexity for Convexly-Constrained Optimization with Non-Lipschitzian Group Sparsity Terms
Chen, X. & Toint, P., May 2021, In: Mathematical Programming. 187, 1-2, p. 47-78 32 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile58 Downloads (Pure) -
2020
A concise second-order complexity analysis for unconstrained optimization using high-order regularized models
Cartis, C., Gould, N. I. M. & Toint, P. L., 3 Mar 2020, In: Optimization Methods and Software. 35, 2, p. 243-256 14 p.Research output: Contribution to journal › Article › peer-review
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Adaptive regularization algorithms with inexact evaluations for nonconvex optimization
Bellavia, S., Gurioli, G., Morini, B. & Toint, P., 2 Jan 2020, In: SIAM Journal on Optimization. 29, 4, p. 2881-2915 35 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile84 Downloads (Pure) -
Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints
Toint, P., Cartis, C. & Gould, N. I. M., Jan 2020, In: SIAM Journal on Optimization. 30, 1, p. 513-541 29 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile96 Downloads (Pure) -
2019
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities
Chen, X., Toint, P. & Wang, H., 15 Apr 2019, In: SIAM Journal on Optimization. 29, 1, p. 874-903 30 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile59 Downloads (Pure) -
2017
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models
Birgin, E. G., Gardenghi, J. L., Martínez, J. M., Santos, S. A. & Toint, P. L., 15 Apr 2017, In: Mathematical Programming. 163, 1-2, p. 359-368 10 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Worst-case evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients
Toint, P., 2 Nov 2017, In: Optimization Methods and Software. 32, 6, p. 1273-1298 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile52 Downloads (Pure) -
2016
Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models
Birgin, E., Gardenghi, J., Martinez, J.-M., Santos, S. & Toint, P., 2016, In: SIAM Journal on Optimization. 26, 2, 20 p.Research output: Contribution to journal › Article › peer-review
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2015
On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods
Cartis, C., Gould, N. I. M. & Toint, P. L., 2015, In: SIAM Journal on Numerical Analysis. 53, 2, p. 836-851 16 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile207 Downloads (Pure) -
Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization
Cartis, C., Rodrigues Sampaio, P. & Toint, P. L., 4 May 2015, In: Optimization. 64, 5, p. 1349-1361 13 p.Research output: Contribution to journal › Article › peer-review
File162 Downloads (Pure) -
2014
On the complexity of finding first-order critical points in constrained nonlinear optimization
Cartis, C., Gould, N. I. M. & Toint, P. L., 2014, In: Mathematical Programming. 144, 1-2, p. 93-106 14 p.Research output: Contribution to journal › Article › peer-review
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2013
A note about the complexity of minimizing Nesterov's smooth Chebyshev-Rosenbrock function
Cartis, C., Gould, N. I. M. & Toint, P. L., 1 Jun 2013, In: Optimization Methods and Software. 28, 3, p. 451-457 7 p.Research output: Contribution to journal › Article › peer-review
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On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization
Cartis, C., Gould, N. & Toint, P., 29 Oct 2013, In: SIAM Journal on Optimization. 23, 3, p. 1553-1574 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile189 Downloads (Pure) -
2012
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization
Toint, P., Cartis, C. & Gould, N., 1 Apr 2012, In: Optimization Methods and Software. 27, 2, p. 197-219 23 p.Research output: Contribution to journal › Article › peer-review
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