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
@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/}
}
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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/