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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:
ftp://ftp.sam.math.ethz.ch/pub/sam-reports/reports/reports99/99-21.pdf
http://www.cs.mcgill.ca/~chris/pub/PaiS02c.pdf
http://emis.maths.adelaide.edu.au/journals/ETNA/vol.13.2002/pp56-80.dir/pp56-80.pdf
http://www.staff.science.uu.nl/~sleij101/Reprints/SVo95b.pdf

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Thanks! Especially the last paper is very interesting and exactly what I have searched for. –  Thomas W. Oct 24 '12 at 18:24

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