BibTeX
@ARTICLE{
         Cheng2009Aoa,
       title = "Algorithms of automatic differentiation",
       author = "Qiang Cheng, Haibin Zhang, Bin Wang",
       year = "2009",
       journal = "MATHEMATICA NUMERICA SINICA",
       volume = "31(1)",
       pages = "15--36",
       abstract = "We study fundamentals and techniques of automatic differentiation by discussing the
         wayfor calculatingdifferent kinds of first-andsecond-order derivatives.First we present the
         first-and second-order differentiation models in a simple way, then discuss the costs in terms of
         operations count and memory for calculating different derivatives with different differen tiation
         models, finally discuss some typical algorithms in solving the nonlinear problems via automatic
         differentiation with respect to the computational costs, both in operations count and in memory.
         Several fundamental techniques including checkpointing, forward accumu lating and backward
         accumulating are discussed.",
       ad_theotech = "General"
}