BibTeX
@INCOLLECTION{
         Grimm2002CAo,
       author = "Jos{\'e} Grimm",
       title = "Complexity Analysis of Automatic Differentiation in the Hyperion Software",
       pages = "305--310",
       chapter = "36",
       crossref = "Corliss2002ADo",
       booktitle = "Automatic Differentiation of Algorithms: From Simulation to Optimization",
       year = "2002",
       editor = "George Corliss and Christ{\`e}le Faure and Andreas Griewank and Laurent
         Hasco{\"e}t and Uwe Naumann",
       series = "Computer and Information Science",
       publisher = "Springer",
       address = "New York, NY",
       abstract = "One important feature of the hyperion software is the rational approximation
         problem: given the $m$ first terms of the power series expansion of a stable transfer function, find
         a stable approximation of it under the form $P/q$, of McMillan degree $n$. This leads to minimising
         $\psi(Q)$, for some $Q$. In this chapter, we show different ways of computing $\psi$ and
         its derivatives, and we indicate the complexity of these computations."
}