Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization

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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
2019
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 27 p.
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Universal regularization methods: varying the power, the smoothness and the accuracy
Cartis, C., Gould, N. I. & Toint, P. L., 1 Jan 2019, In: SIAM Journal on Optimization. 29, 1, p. 595-615 21 p.
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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

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