 | 2012 |
| 35 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
Complexity bounds for second-order optimality in unconstrained optimization.
J. Complexity 28(1): 93-108 (2012) |
| 34 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization.
Optimization Methods and Software 27(2): 197-219 (2012) |
| 33 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
On the Oracle Complexity of First-Order and Derivative-Free Algorithms for Smooth Nonconvex Minimization.
SIAM Journal on Optimization 22(1): 66-86 (2012) |
| 2011 |
| 32 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results.
Math. Program. 127(2): 245-295 (2011) |
| 31 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity.
Math. Program. 130(2): 295-319 (2011) |
| 30 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
On the Evaluation Complexity of Composite Function Minimization with Applications to Nonconvex Nonlinear Programming.
SIAM Journal on Optimization 21(4): 1721-1739 (2011) |
| 2010 |
| 29 |  | Nicholas I. M. Gould,
Philippe L. Toint:
Nonlinear programming without a penalty function or a filter.
Math. Program. 122(1): 155-196 (2010) |
| 28 |  | Stefania Bellavia,
Coralia Cartis,
Nicholas I. M. Gould,
Benedetta Morini,
Philippe L. Toint:
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares.
SIAM J. Numerical Analysis 48(1): 1-29 (2010) |
| 27 |  | H. Sue Dollar,
Nicholas I. M. Gould,
Martin Stoll,
Andrew J. Wathen:
Preconditioning Saddle-Point Systems with Applications in Optimization.
SIAM J. Scientific Computing 32(1): 249-270 (2010) |
| 26 |  | Nicholas I. M. Gould,
Daniel P. Robinson:
A Second Derivative SQP Method: Global Convergence.
SIAM Journal on Optimization 20(4): 2023-2048 (2010) |
| 25 |  | Nicholas I. M. Gould,
Daniel P. Robinson:
A Second Derivative SQP Method: Local Convergence and Practical Issues.
SIAM Journal on Optimization 20(4): 2049-2079 (2010) |
| 24 |  | Coralia Cartis,
Nicholas I. M. Gould,
Philippe L. Toint:
On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems.
SIAM Journal on Optimization 20(6): 2833-2852 (2010) |
| 2009 |
| 23 |  | Nicholas I. M. Gould,
Valeria Simoncini:
Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks.
SIAM J. Matrix Analysis Applications 31(3): 1152-1171 (2009) |
| 2007 |
| 22 |  | Nicholas I. M. Gould,
Philippe L. Toint:
FILTRANE, a Fortran 95 filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems.
ACM Trans. Math. Softw. 33(1): 3 (2007) |
| 21 |  | Nicholas I. M. Gould,
Jennifer A. Scott,
Yifan Hu:
A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations.
ACM Trans. Math. Softw. 33(2): 10 (2007) |
| 2006 |
| 20 |  | H. Sue Dollar,
Nicholas I. M. Gould,
Wil H. A. Schilders,
Andrew J. Wathen:
Implicit-Factorization Preconditioning and Iterative Solvers for Regularized Saddle-Point Systems.
SIAM J. Matrix Analysis Applications 28(1): 170-189 (2006) |
| 2005 |
| 19 |  | Nicholas I. M. Gould,
Dominique Orban,
Annick Sartenaer,
Philippe L. Toint:
Sensitivity of trust-region algorithms to their parameters.
4OR 3(3): 227-241 (2005) |
| 18 |  | Richard H. Byrd,
Nicholas I. M. Gould,
Jorge Nocedal,
Richard A. Waltz:
On the Convergence of Successive Linear-Quadratic Programming Algorithms.
SIAM Journal on Optimization 16(2): 471-489 (2005) |
| 2004 |
| 17 |  | Jennifer A. Scott,
Yifan Hu,
Nicholas I. M. Gould:
An Evaluation of Sparse Direct Symmetric Solvers: An Introduction and Preliminary Findings.
PARA 2004: 818-827 |
| 16 |  | Nicholas I. M. Gould,
Jennifer A. Scott:
A numerical evaluation of HSL packages for the direct solution of large sparse, symmetric linear systems of equations.
ACM Trans. Math. Softw. 30(3): 300-325 (2004) |
| 15 |  | Richard H. Byrd,
Nicholas I. M. Gould,
Jorge Nocedal,
Richard A. Waltz:
An algorithm for nonlinear optimization using linear programming and equality constrained subproblems.
Math. Program. 100(1): 27-48 (2004) |
| 14 |  | Nicholas I. M. Gould,
Sven Leyffer,
Philippe L. Toint:
A Multidimensional Filter Algorithm for Nonlinear Equations and Nonlinear Least-Squares.
SIAM Journal on Optimization 15(1): 17-38 (2004) |
| 2003 |
| 13 |  | Nicholas I. M. Gould,
Dominique Orban,
Philippe L. Toint:
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization.
ACM Trans. Math. Softw. 29(4): 353-372 (2003) |
| 12 |  | Nicholas I. M. Gould,
Dominique Orban,
Philippe L. Toint:
CUTEr and SifDec: A constrained and unconstrained testing environment, revisited.
ACM Trans. Math. Softw. 29(4): 373-394 (2003) |
| 2002 |
| 11 |  | Nicholas I. M. Gould,
Dominique Orban,
Annick Sartenaer,
Philippe L. Toint:
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations.
Math. Program. 92(3): 481-508 (2002) |
| 10 |  | Roger Fletcher,
Nicholas I. M. Gould,
Sven Leyffer,
Philippe L. Toint,
Andreas Wächter:
Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming.
SIAM Journal on Optimization 13(3): 635-659 (2002) |
| 2001 |
| 9 |  | Nicholas I. M. Gould,
Philippe L. Toint:
Global Convergence of a Hybrid Trust-Region SQP-Filter Algorithm for General Nonlinear Programming.
System Modelling and Optimization 2001: 23-54 |
| 8 |  | Nicholas I. M. Gould,
Dominique Orban,
Annick Sartenaer,
Philippe L. Toint:
Superlinear Convergence of Primal-Dual Interior Point Algorithms for Nonlinear Programming.
SIAM Journal on Optimization 11(4): 974-1002 (2001) |
| 1999 |
| 7 |  | Nicholas I. M. Gould,
Philippe L. Toint:
SQP Methods for Large-Scale Nonlinear Programming.
System Modelling and Optimization 1999: 149-178 |
| 1997 |
| 6 |  | Andrew R. Conn,
Nicholas I. M. Gould,
Philippe L. Toint:
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds.
Math. Comput. 66(217): 261-288 (1997) |
| 1996 |
| 5 |  | Michel J. Daydé,
Jean-Yves L'Excellent,
Nicholas I. M. Gould:
Preprocessing of Sparse Unassembled Linear Systems for Efficient Solution Using Element-by-Element Preconditioners.
Euro-Par, Vol. II 1996: 34-43 |
| 4 |  | Andrew R. Conn,
Nicholas I. M. Gould,
Philippe L. Toint:
Numerical experiments with the LANCELOT package (Release A) for large-scale nonlinear optimization.
Math. Program. 73: 73-110 (1996) |
| 1995 |
| 3 |  | Ingrid Bongartz,
Andrew R. Conn,
Nicholas I. M. Gould,
Philippe L. Toint:
CUTE: Constrained and Unconstrained Testing Environment.
ACM Trans. Math. Softw. 21(1): 123-160 (1995) |
| 1994 |
| 2 |  | Andrew R. Conn,
Nicholas I. M. Gould,
Philippe L. Toint:
A note on exploiting structure when using slack variables.
Math. Program. 67: 89-97 (1994) |
| 1991 |
| 1 |  | Andrew R. Conn,
Nicholas I. M. Gould,
Philippe L. Toint:
Convergence of quasi-Newton matrices generated by the symmetric rank one update.
Math. Program. 50: 177-195 (1991) |