On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods

Coralia Cartis, Nicholas I M Gould, Philippe L. Toint

Namur Institute for Complex Systems

Research output: Contribution to journal › Article › peer-review

170 Downloads (Pure)

21 Citations
13 Article
2 Working paper
1 Book
1 Chapter

17 results

2022

Evaluation complexity of algorithms for nonconvex optimization
Cartis, C., Gould, N. I. M. & TOINT, P., Jul 2022, SIAM. 600 p. (SIAM-MOS Series on Optimization)
Research output: Book/Report/Journal › Book
2020
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 Access
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45 Downloads (Pure)
2019
Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models
Cartis, C., Gould, N. I. M. & Toint, P., Jun 2019, Springer Optimization and Its Applications: Algorithms, Complexity and Applications. Demetriou, I. & Pardalos, P. (eds.). Springer Heidelberg, p. 5-26 22 p. (Springer Optimization and Its Applications; vol. 145).
Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter
Optimality of orders one to three and beyond: Characterization and evaluation complexity in constrained nonconvex optimization
Cartis, C., Gould, N. I. M. & Toint, P., 10 Aug 2019, In: Journal of Complexity. 53, p. 68-94 32 p.
Research output: Contribution to journal › Article › peer-review

Open Access
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47 Downloads (Pure)
2018
Second-order optimality and beyond: Characterization and Evaluation Complexity in Convexly Constrained Nonlinear Optimization
Cartis, C., Gould, N. I. M. & Toint, P., 1 Oct 2018, In: Foundations of Computational Mathematics. 18, 5, p. 1073-1107 35 p.
Research output: Contribution to journal › Article › peer-review
2017
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 Access
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22 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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42 Downloads (Pure)
2015
Improved worst-case evaluation complexity for potentially rank-deficient nonlinear least-Euclidean-norm problems using higher-order regularized models
Cartis, C., Gould, N. I. M. & Toint, P., 18 Nov 2015, 18 p. (naXys technical report).
Research output: Working paper

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63 Downloads (Pure)
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models
Birgin, E., Gardenghi, J., Martinez, J.-M., Santos, S. A. & Toint, P., Jun 2015, 2015: Namur center for complex systems, 8 p. (naXys Technical Reports; vol. 05-2015).
Research output: Working paper

File
68 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

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125 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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59 Downloads (Pure)
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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40 Downloads (Pure)
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 Access
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168 Downloads (Pure)
2012
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
Cartis, C., Gould, N. & Toint, P., 1 Oct 2012, In: IMA Journal of Numerical Analysis. 32, 4, p. 1662-1695 34 p.
Research output: Contribution to journal › Article › peer-review

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131 Downloads (Pure)
Complexity bounds for second-order optimality in unconstrained optimization
Cartis, C., Gould, N. I. M. & Toint, P., 1 Feb 2012, In: Journal of Complexity. 28, p. 93-108 16 p.
Research output: Contribution to journal › Article › peer-review

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52 Downloads (Pure)
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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172 Downloads (Pure)
How much patience do you have? A worst-case perspective on smooth nonconvex optimization
Cartis, C., Gould, N. & Toint, P., 1 Jan 2012, In: Optima. 88, 1-10
Research output: Contribution to journal › Article › peer-review

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On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods

Research output

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