BibTeX
@INCOLLECTION{
         Kubota1996PFP,
       author = "Koichi Kubota",
       editor = "Martin Berz and Christian Bischof and George Corliss and Andreas Griewank",
       title = "PADRE2 -- {Fortran} Precompiler for Automatic Differentiation and Estimates of
         Rounding Errors",
       booktitle = "Computational Differentiation: Techniques, Applications, and Tools",
       pages = "367--374",
       publisher = "SIAM",
       address = "Philadelphia, PA",
       key = "Kubota1996PFP",
       crossref = "Berz1996CDT",
       abstract = "We are developing a FORTRAN 77 precompiler, named PADRE2, that is a tool for
         automatic differentiation. It reads in a set of Fortran subroutine/function subprograms that
         computes a (vector) value of a mathematical function, and it generates another set of subprograms
         that computes the values of the first-order and the second-order partial derivatives of the function
         as well as estimates of rounding errors accumulated in the computed values of the function. One of
         the unique features of our tool is the calculation of estimates of rounding errors accumulated in
         the values of the partial derivatives computed by automatic differentiation itself. A numerical
         experiment shows that these estimates are useful for setting up a stopping criterion in numerical
         algorithms for optimization.",
       keywords = "PADRE2, precompiler, estimate rounding errors, Voronoi diagram.",
       referred = "[Braconnier2002FRE], [Jerrell1996ADa].",
       year = "1996"
}