New Algorithms for Efficient Taylor Model Operations including Arbitrary Precision

@inproceedings{Berz2008NewAF,
  title={New Algorithms for Efficient Taylor Model Operations including Arbitrary Precision},
  author={Martin Berz and Kyoko Makino},
  year={2008}
}
Within the framework of Taylor Model implementations, the multiplication of Taylor models is the most time intensive operation, and thus benefits most from performance improvements. We note that in the mulplication, every coefficient is utilized repeatedly in various products, and so it is possible to do limited pre-processing of the coefficients without performance penalty due to the preprocessing, if it leads to significant performance gains in the coefficient-by-coefficient operations. As a… CONTINUE READING