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Is there any work that considers Krylov subspace iterative methods in floating point arithmetic? I'm especially interested in how rounding errors influence the convergence and the accuracy of the solution.

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Some references on rounding error analysis of Krylov methods:

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  • $\begingroup$ Thanks! Especially the last paper is very interesting and exactly what I have searched for. $\endgroup$
    – Thomas W.
    Oct 24, 2012 at 18:24
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I think, this one Krylov Subspace Methods in Finite Precision: A Unified Approach, Jens-Peter M. Zemke is also worth reading.

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