Am 22.05.2013, 11:54 Uhr, schrieb Ulrich Kulisch <ulrich.kulisch@xxxxxxx>:
and in the paper [5] on the poster something very similar is called "staggered prercision" which, if I remember it correctly goes back to Hans Stetter.
The term "staggered correction" was coined by Hans Stetter in
J. Stetter. Sequential defect correction for high-accuracy floating-point algorithms. In: Numerical Analysis (Proceedings, Dundee 1983)., Lecture Notes in Mathematics, vol. 1066 (1984), 186-202
the mathematics behind was developed in my Ph.D.
S.M. Rump. Kleine Fehlerschranken bei Matrixproblemen. PhD thesis, Universität Karlsruhe, 1980.
===================================================== Prof. Dr. Siegfried M. Rump Institute for Reliable Computing Hamburg University of Technology Schwarzenbergstr. 95 21071 Hamburg Germany phone +49 40 42878 3027 fax +49 40 42878 2489 http://www.ti3.tuhh.de
and
Visiting Professor at Waseda University Faculty of Science and Engineering 3-4-1 Okubo, Shinjuku-ku Tokyo 169-8555 Japan phone/fax in Japan +81 3 5286 3330