Preprints

G. Mele
The infinite Lanczos method for symmetric nonlinear eigenvalue problems
[ preprint ] [ software ]

E. Jarlebring, M. Bennedich, G. Mele, E. Ringh, P. Upadhyaya
NEP-PACK: A Julia package for nonlinear eigenproblems
[ preprint ]

Papers

E. Jarlebring, G. Mele, D. Palitta, E. Ringh
Krylov methods for low-rank commuting generalized Sylvester equations
Numer. Linear Algebra Appl., 2018
[ paper ] [ preprint ] [ software ]

E. Jarlebring, A. Koskela, G. Mele
Disguised and new Quasi-Newton methods for nonlinear eigenvalue problems
Numer. Algorithms, 2017
[ paper ] [ preprint ] [ software ]

G. Mele and E. Jarlebring
On restarting the tensor infinite Arnoldi method
BIT numerical mathematics:1-30, 2017
[ paper ] [ preprint ]

E. Ringh, G. Mele, E. Jarlebring and J. Karlsson
Sylvester-based preconditioning for the waveguide eigenvalue problem
Linear Algebra Appl., 2017
[ paper ] [ preprint ] [ software ]

E. Jarlebring, G. Mele, O. Runborg
The waveguide eigenvalue problem and the tensor infinite Arnoldi method
SIAM J. Sci. Comput., 39:A1062-A1088, 2017
[ paper ] [ preprint ] [ software ]

Software

NEP-PACK: Julia package for solving nonlinear eigenvalue problems (open source)
Core developers (alphabetical):
M. Bennedich, E. Jarlebring, Giampaolo Mele, E. Ringh, P. Upadhyaya
[ git repo ] [ documentation ]

Theses

PhD thesis, Supervisor: E. Jarlebring
Krylov methods for nonlinear eigenvalue problems and matrix equations
[ download ] summary (kappa)

Master thesis, Scientific advisor: D.A. Bini
Rational Krylov methods for linear and nonlinear eigenvalue problems, 2014
[ download ]