References
- 1. M. D'Apuzzo, V. De Simone, and D. di Serafino, On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods, Computational Optimization and Applications, vol. 45, pp. 283-310, 2010.
- 2. S. Gratton, S. Mercier, N. Tardieu, and X. Vasseur, Limited memory preconditioners for symmetric indefinite problems with applications to structural mechanics, Numerical Linear Algebra with Applications, vol. 23, pp. 865-887, 2016.
- 3. J. W. Pearson and J. Gondzio, Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization, Nu- merische Mathematik, vol. 137, pp. 959-999, 2017.
- 4. S. Mercier, S. Gratton, N. Tardieu, and X. Vasseur, A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: applications to saddle point problems in elasticity, Computational Mechanics, vol. 60, pp. 969-982, 2017.
- 5. M. Fischer, S. Gratton, S. Gürol, Y. Tremolfiet, and X. Vasseur, Lowrank updates in preconditioning the saddle point systems arising from data assimilation problems, Optimization Methods and Software, 2016, DOI: 10.1080/10556788.2016.1264398.10.1080/10556788.2016.1264398
- 6. M. Benzi, G. H. Golub, and J. Liesen, Numerical solution of saddle point problems, Acta Numerica, vol. 14, pp. 1-137, 2005.
- 7. A. Wathen, Preconditioning, Acta Numerica, vol. 24, pp. 329-376, 2015.
- 8. S. Bellavia, V. De Simone, D. di Serafino, and B. Morini, A preconditioning framework for sequences of diagonally modified linear systems arising in optimization, SIAM Journal on Numerical Analysis, vol. 50, pp. 3280-3302, 2012.
- 9. S. Bellavia, V. De Simone, D. di Serafino, and B. Morini, On the update of constraint preconditioners for regularized KKT systems, Computa- tional Optimization and Applications, vol. 65, pp. 339-360, 2016.
- 10. J. L. Morales and J. Nocedal, Automatic preconditioning by limited memory quasi-Newton updating, SIAM Journal on Optimization, vol. 10, pp. 1079-1096, 2000.
- 11. S. Gratton, A. Sartenaer, and J. Tshimanga, On a class of limited memory preconditioners for large scale linear systems with multiple righthand sides, SIAM Journal on Optimization, vol. 21, pp. 912-935, 2011.
- 12. S. Bellavia, V. De Simone, D. di Serafino, and B. Morini, Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections, SIAM Journal on Optimization, vol. 25, pp. 1787- 1808, 2015.
- 13. S. Bellavia, J. Gondzio, and B. Morini, A matrix-free preconditioner for sparse symmetric positive definite systems and least-squares problems, SIAM Journal on Scientific Computing, vol. 35, pp. A192-A211, 2013.
- 14. V. De Simone and D. di Serafino, A matrix-free approach to build band preconditioners for large-scale bound-constrained optimization, Journal of Computational and Applied Mathematics, vol. 268, pp. 82-92, 2014.
- 15. J. Nocedal and S. J. Wright, Numerical Optimization. Springer, 2006.
- 16. L. Bergamaschi, V. De Simone, D. di Serafino, and A. Martinez, BFGS like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming, Numerical Linear Algebra with Applications.