Coralia Cartis
TitleCited byYear
Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results
C Cartis, NIM Gould, PL Toint
Mathematical Programming 127 (2), 245-295, 2011
2242011
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function-and derivative-evaluation complexity
C Cartis, NIM Gould, PL Toint
Mathematical programming 130 (2), 295-319, 2011
1822011
Compressed sensing: How sharp is the restricted isometry property
JD Blanchard, C Cartis, J Tanner
Arxiv preprint arXiv:1004.5026, 2010
166*2010
On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization problems
C Cartis, NIM Gould, PL Toint
Siam journal on optimization 20 (6), 2833-2852, 2010
1652010
Global rates of convergence for nonconvex optimization on manifolds
N Boumal, PA Absil, C Cartis
IMA Journal of Numerical Analysis 39 (1), 1-33, 2018
802018
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming
C Cartis, NIM Gould, PL Toint
SIAM Journal on Optimization 21 (4), 1721-1739, 2011
662011
Phase transitions for greedy sparse approximation algorithms
JD Blanchard, C Cartis, J Tanner, A Thompson
Applied and Computational Harmonic Analysis 30 (2), 188-203, 2011
642011
Complexity bounds for second-order optimality in unconstrained optimization
C Cartis, NIM Gould, PL Toint
Journal of Complexity 28 (1), 93-108, 2012
612012
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
C Cartis, NIM Gould, PL Toint
IMA Journal of Numerical Analysis 32 (4), 1662-1695, 2012
562012
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization
C Cartis, NIM Gould, PL Toint
SIAM Journal on Optimization 22 (1), 66-86, 2012
462012
Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares
S Bellavia, C Cartis, NIM Gould, B Morini, PL Toint
SIAM Journal on Numerical Analysis 48 (1), 1-29, 2010
412010
Trust-region and other regularisations of linear least-squares problems
C Cartis, NIM Gould, PL Toint
BIT Numerical Mathematics 49 (1), 21-53, 2009
402009
On the complexity of finding first-order critical points in constrained nonlinear optimization
C Cartis, NIM Gould, PL Toint
Mathematical Programming 144 (1-2), 93-106, 2014
392014
Global convergence rate analysis of unconstrained optimization methods based on probabilistic models
C Cartis, K Scheinberg
Mathematical Programming 169 (2), 337-375, 2018
382018
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization
C Cartis, NIM Gould, PL Toint
SIAM Journal on Optimization 23 (3), 1553-1574, 2013
382013
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization
C Cartis, NIM Gould, PL Toint
Optimization Methods and Software 27 (2), 197-219, 2012
312012
Some disadvantages of a Mehrotra-type primal-dual corrector interior point algorithm for linear programming
C Cartis
Applied Numerical Mathematics 59 (5), 1110-1119, 2009
302009
Can top-of-atmosphere radiation measurements constrain climate predictions? Part I: Tuning
SFB Tett, MJ Mineter, C Cartis, DJ Rowlands, P Liu
Journal of Climate 26 (23), 9348-9366, 2013
29*2013
Decay properties of restricted isometry constants
JD Blanchard, C Cartis, J Tanner
IEEE Signal Processing Letters 16 (7), 572-575, 2009
282009
A new and improved quantitative recovery analysis for iterative hard thresholding algorithms in compressed sensing
C Cartis, A Thompson
IEEE Transactions on Information Theory 61 (4), 2019-2042, 2015
262015
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Articles 1–20