E. Agullo, M. Giraud, and . Zounon, On the Resilience of Parallel Sparse Hybrid Solvers, 2015 IEEE 22nd International Conference on High Performance Computing (HiPC), 2015.
DOI : 10.1109/HiPC.2015.9

URL : https://hal.archives-ouvertes.fr/hal-01256316

E. Agullo, L. Giraud, A. Guermouche, J. Roman, and M. Zounon, Towards resilient parallel linear Krylov solvers: recover-restart strategies, 2013.
DOI : 10.1137/15m1042115

URL : https://hal.archives-ouvertes.fr/hal-00843992

W. E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quarterly of Applied Mathematics, vol.9, issue.1, pp.17-29, 1951.
DOI : 10.1090/qam/42792

R. Diederik, G. L. Fokkema, H. A. Sleijpen, . Van, and . Vorst, Jacobi-Davidson style QR and QZ algorithms for the partial reduction of matrix pencils, SIAM J. SCI. COMPUT, vol.20, pp.94-125, 1996.

A. Melina, A. Freitag, and . Spence, Shift-invert Arnoldi's method with preconditioned iterative solves, SIAM J. Matrix Anal. Appl, vol.31, issue.3, pp.942-969, 2009.

G. W. Stewart, Matrix algorithms ?, Eigensystems. SIAM, vol.II, 2001.

L. Jaulmes, M. Casas, M. Moretó, E. Ayguade, J. Labarta et al., Exploiting asynchrony from exact forward recovery for DUE in iterative solvers, Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on, SC '15, 2015.
DOI : 10.1145/2807591.2807599

J. Langou, Z. Chen, G. Bosilca, and J. Dongarra, Recovery Patterns for Iterative Methods in a Parallel Unstable Environment, SIAM Journal on Scientific Computing, vol.30, issue.1, pp.102-116, 2007.
DOI : 10.1137/040620394

R. B. Lehoucq and D. C. Sorensen, Deflation Techniques for an Implicitly Restarted Arnoldi Iteration, SIAM Journal on Matrix Analysis and Applications, vol.17, issue.4, pp.789-821, 1996.
DOI : 10.1137/S0895479895281484

Y. Saad, Iterative Methods for Sparse Linear Systems, Society for Industrial and Applied Mathematics, 2003.
DOI : 10.1137/1.9780898718003

Y. Saad, Numerical Methods for Large Eigenvalue Problems, 1992.
DOI : 10.1137/1.9781611970739

P. Salas, Physical and numerical aspects of thermoacoustic instabilities in annular combustion chambers, 2013.
URL : https://hal.archives-ouvertes.fr/tel-00937020

P. Salas, L. Giraud, Y. Saad, and S. Moreau, Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics, Numerical Linear Algebra with Applications, vol.183, issue.4, 2014.
DOI : 10.1002/nla.1995

URL : https://hal.archives-ouvertes.fr/hal-01238263

L. G. Gerard, . Sleijpen, and A. Henk, Van der. A Jacobi?Davidson iteration method for linear eigenvalue problems, SIAM Rev, vol.42, issue.2, pp.267-293, 2000.

W. Weibull, A statistical distribution function of wide applicability, Journal of Applied Mechanics, vol.18, pp.293-297, 1951.