The following publications are possibly variants of this publication:
- Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexityCoralia Cartis, Nicholas I. M. Gould, Philippe L. Toint. mp, 130(2):295-319, 2011. [doi]
- Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical resultsCoralia Cartis, Nicholas I. M. Gould, Philippe L. Toint. mp, 127(2):245-295, 2011. [doi]
- On the Complexity of Steepest Descent, Newton s and Regularized Newton s Methods for Nonconvex Unconstrained Optimization ProblemsCoralia Cartis, Nicholas I. M. Gould, Philippe L. Toint. siamjo, 20(6):2833-2852, 2010. [doi]