Geodesic
Arnoldi-Faber method for large non Hermitian eigenvalue problems
Electronic transactions on numerical analysis, Tome 5 (1997), pp. 62-76
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},
     year = {1997},
     volume = {5},
     zbl = {0899.65016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1997__5__a1/}
}
TY  - JOUR
AU  - Heuveline,  Vincent
AU  - Sadkane,  Miloud
TI  - Arnoldi-Faber method for large non Hermitian eigenvalue problems
JO  - Electronic transactions on numerical analysis
PY  - 1997
SP  - 62
EP  - 76
VL  - 5
UR  - http://geodesic.mathdoc.fr/item/ETNA_1997__5__a1/
LA  - en
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%0 Journal Article
%A Heuveline,  Vincent
%A Sadkane,  Miloud
%T Arnoldi-Faber method for large non Hermitian eigenvalue problems
%J Electronic transactions on numerical analysis
%D 1997
%P 62-76
%V 5
%U http://geodesic.mathdoc.fr/item/ETNA_1997__5__a1/
%G en
%F ETNA_1997__5__a1
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/