Coralia Cartis

Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results

Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint · Mathematical Programming · 2009 · 338 citations

Numerical Analysis, Mathematical Programming, Engineering +8

Global rates of convergence for nonconvex optimization on manifolds

Nicolas Boumal, P-A Absil, Coralia Cartis · IMA Journal of Numerical Analysis · 2018 · 277 citations · Full text

Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity

Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint · Mathematical Programming · 2010 · 272 citations

Mathematical Programming, Numerical Analysis, Adaptive Optimization +10

On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems

Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint · SIAM Journal on Optimization · 2010 · 216 citations · Full text

Numerical Analysis, Regularized Newton, Nondifferentiable Optimization +13

Compressed Sensing: How Sharp Is the Restricted Isometry Property?

Jeffrey D. Blanchard, Coralia Cartis, Jared Tanner · SIAM Review · 2011 · 160 citations · Full text

Sparse Representation, Engineering, Restricted Isometry Property +11