Error free transformations of floating point numbers and its applications to constructing efficient error free numerical algorithms

Authors:
Shin'ichi Oishi
Affiliations:
Waseda University, Tokyo, Japan
Venue:
Proceedings of the 2009 conference on Symbolic numeric computation
Year:
2009

Citing 3
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Abstract

We have proposed error free transformations for floating point numbers[1]-[3]. In the first place, this talk will briely survey this result. Then, the suthor will clarify that this new methodology is very usefull to make efficient error free numerical algorithms including error free fast computational geometric algorithms[4], [5].