On the complexity of finding first-order critical points in constrained nonlinear optimization

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

Namur Institute for Complex Systems

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

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35 Citations
13 Article
3 Working paper
1 Book
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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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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

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51 Downloads (Pure)
2013
An example of slow convergence for Newton's method on a function with globally Lipschitz continuous Hessian
Cartis, C., Gould, N. I. M. & Toint, P., 5 May 2013, Namur center for complex systems, 9 p.
Research output: Working paper

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98 Downloads (Pure)