BibTeX
@INCOLLECTION{
Grimm2002CAo,
author = "Jos{\'e} Grimm",
title = "Complexity Analysis of Automatic Differentiation in the Hyperion Software",
pages = "305310",
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."
}
