Volume 5, pp. 62-76, 1997.

Arnoldi-Faber method for large non Hermitian eigenvalue problems

Vincent Heuveline and Miloud Sadkane


We propose a restarted Arnoldi's method with Faber polynomials and discuss its use for computing the rightmost eigenvalues of large non hermitian matrices. We illustrate, with the help of some practical test problems, the benefit obtained from the Faber acceleration by comparing this method with the Chebyshev based acceleration. A comparison with the implicitly restarted Arnoldi method is also reported.

Full Text (PDF) [191 KB]

Key words

Krylov space, block Arnoldi, Faber polynomials, Schwarz-Christoffel.

AMS subject classifications


ETNA articles which cite this article

Vol. 45 (2016), pp. 1-15 Olivier Sète and Jörg Liesen: On conformal maps from multiply connected domains onto lemniscatic domains

< Back