Geodesic
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.

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

Summary: 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 
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     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},
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     volume = {23},
     year = {2006},
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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/