Condition numbers of the Krylov bases and spaces associated with the truncated \(QZ\) iteration
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 5-14
We propose exact and computable formulas for computing condition numbers of the Krylov bases and spaces associated with the Hessenberg-Triangular reduction of a regular linear matrix pencil.
Classification :
65F35, 15A21
Keywords: condition number, Krylov spaces, QZ algorithm, generalized arnoldi algorithm
Keywords: condition number, Krylov spaces, QZ algorithm, generalized arnoldi algorithm
@article{ETNA_2006__23__a18,
author = {Malyshev, Alexander and Sadkane, Miloud},
title = {Condition numbers of the {Krylov} bases and spaces associated with the truncated {\(QZ\)} iteration},
journal = {Electronic transactions on numerical analysis},
pages = {5--14},
year = {2006},
volume = {23},
zbl = {1112.65043},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a18/}
}
TY - JOUR AU - Malyshev, Alexander AU - Sadkane, Miloud TI - Condition numbers of the Krylov bases and spaces associated with the truncated \(QZ\) iteration JO - Electronic transactions on numerical analysis PY - 2006 SP - 5 EP - 14 VL - 23 UR - http://geodesic.mathdoc.fr/item/ETNA_2006__23__a18/ LA - en ID - ETNA_2006__23__a18 ER -
%0 Journal Article %A Malyshev, Alexander %A Sadkane, Miloud %T Condition numbers of the Krylov bases and spaces associated with the truncated \(QZ\) iteration %J Electronic transactions on numerical analysis %D 2006 %P 5-14 %V 23 %U http://geodesic.mathdoc.fr/item/ETNA_2006__23__a18/ %G en %F ETNA_2006__23__a18
Malyshev, Alexander; Sadkane, Miloud. Condition numbers of the Krylov bases and spaces associated with the truncated \(QZ\) iteration. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 5-14. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a18/