Stopping criteria for iterations in finite element methods, Numerische Mathematik, vol.15, issue.3, pp.381-410, 2005. ,
DOI : 10.1145/321406.321416
Stopping criteria for iterative solvers. Calcolo, pp.97-112, 2001. ,
DOI : 10.1137/0613012
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares, SIAM Journal on Numerical Analysis, vol.48, issue.1, pp.1-29, 2010. ,
DOI : 10.1137/080732432
On the use of iterative methods in cubic regularization for unconstrained optimization, Computational Optimization and Applications, vol.22, issue.1, pp.35-57, 2014. ,
DOI : 10.1080/10556780600605129
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity, Mathematical Programming, vol.22, issue.3, pp.295-319, 2011. ,
DOI : 10.1080/10556780600605129
URL : http://www.maths.ed.ac.uk/ERGO/pubs/MS-07-008.pdf
Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results, Mathematical Programming, vol.22, issue.3, pp.245-295, 2011. ,
DOI : 10.1080/10556780600605129
URL : http://www.maths.ed.ac.uk/ERGO/pubs/MS-07-008.pdf
A strategy for operational implementation of 4D-Var, using an incremental approach, Quarterly Journal of the Royal Meteorological Society, vol.45, issue.519, pp.1367-1388, 1994. ,
DOI : 10.1034/j.1600-0870.1993.00011.x
A trust region algorithm with a worst-case iteration complexity of $$\mathcal{O}(\epsilon ^{-3/2})$$ O ( ?? - 3 / 2 ) for nonconvex optimization, Mathematical Programming, vol.22, issue.3, pp.1-32, 2017. ,
DOI : 10.1080/10556780600605129
Benchmarking optimization software with performance profiles, Mathematical Programming, vol.91, issue.2, pp.201-213, 2002. ,
DOI : 10.1007/s101070100263
Solving the Trust-Region Subproblem using the Lanczos Method, SIAM Journal on Optimization, vol.9, issue.2, pp.504-525, 1999. ,
DOI : 10.1137/S1052623497322735
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization, ACM Transactions on Mathematical Software, vol.29, issue.4, pp.353-372, 2003. ,
DOI : 10.1145/962437.962438
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization, Optimization Methods and Software, vol.25, issue.3, pp.359-386, 2010. ,
DOI : 10.1080/10556780903239295
The modification of Newton's method for unconstrained optimization by bounding cubic terms, 1981. ,
Testing Unconstrained Optimization Software, ACM Transactions on Mathematical Software, vol.7, issue.1, pp.17-41, 1981. ,
DOI : 10.1145/355934.355936
Cubic regularization of Newton method and its global performance, Mathematical Programming, vol.99, issue.1, pp.177-205, 2006. ,
DOI : 10.1007/s10107-006-0706-8
Numerical Optimization, 2006. ,
DOI : 10.1007/b98874
A New Algorithm for Unconstrained Optimization, Nonlin. Program, pp.31-65, 1970. ,
DOI : 10.1016/B978-0-12-597050-1.50006-3
Model-error estimation in 4D-Var, Quarterly Journal of the Royal Meteorological Society, vol.125, issue.626, pp.1267-1280, 2007. ,
DOI : 10.1142/3171