Geodesic
Arnoldi-Faber method for large non Hermitian eigenvalue problems
Electronic transactions on numerical analysis, Tome 5 (1997), pp. 62-76.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 65F10
Keywords: Krylov space, block arnoldi, Faber polynomials, Schwarz-christoffel 
@article{ETNA_1997__5__a1,
     author = {Heuveline, Vincent and Sadkane, Miloud},
     title = {Arnoldi-Faber method for large non {Hermitian} eigenvalue problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {62--76},
     publisher = {mathdoc},
     volume = {5},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1997__5__a1/}
}
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Heuveline, Vincent; Sadkane, Miloud. Arnoldi-Faber method for large non Hermitian eigenvalue problems. Electronic transactions on numerical analysis, Tome 5 (1997), pp. 62-76. http://geodesic.mathdoc.fr/item/ETNA_1997__5__a1/