BibTeX
@INPROCEEDINGS{
         Bischof2000OCC,
       author = "C.~H.~Bischof and H.~M.~B{\"u}cker and P.~D.~Hovland",
       title = "On Combining Computational Differentiation and Toolkits for Parallel Scientific
         Computing",
       booktitle = "Euro-Par~2000 -- Parallel Processing, Proceedings of the 6th International
         Euro-Par Conference, Munich, Germany, August/September~2000",
       editor = "A.~Bode and T.~Ludwig and W.~Karl and R.~Wism{\"u}ller",
       volume = "1900",
       series = "Lecture Notes in Computer Science",
       pages = "86--94",
       address = "Berlin",
       publisher = "Springer",
       abstract = "Automatic differentiation is a powerful technique for evaluating derivatives of
         functions given in the form of a high-level programming language such as Fortran, C, or C++. The
         program is treated as a potentially very long sequence of elementary statements to which the chain
         rule of differential calculus is applied over and over again. Combining automatic differentiation
         and the organizational structure of toolkits for parallel scientific computing provides a mechanism
         for evaluating derivatives by exploiting mathematical insight on a higher level. In these toolkits,
         algorithmic structures such as BLAS-like operations, linear and nonlinear solvers, or integrators
         for ordinary differential equations can be identified by their standardized interfaces and
         recognized as high-level mathematical objects rather than as a sequence of elementary statements. In
         this note, the differentiation of a linear solver with respect to some parameter vector is taken as
         an example. Mathematical insight is used to reformulate this problem into the solution of multiple
         linear systems that share the same coefficient matrix but differ in their right-hand sides. The
         experiments reported here use ADIC, a tool for the automatic differentiation of C~programs, and
         PETSc, an object-oriented toolkit for the parallel solution of scientific problems modeled by
         partial differential equations.",
       ad_theotech = "Toolkits",
       year = "2000",
       doi = "10.1007/3-540-44520-X_12"
}