## Condition numbers of the Krylov bases and spaces associated with the truncated QZ iteration

### Abstract

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.

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### Key words

condition number, Krylov spaces, QZ algorithm, generalized Arnoldi algorithm

65F35, 15A21

### Links to the cited ETNA articles

 [7] Vol. 7 (1998), pp. 141-162 D. C. Sorensen: Truncated QZ  methods for large scale generalized eigenvalue problems

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