AUTHOR = "Andreas Griewank",
TITLE = "A Mathematical View of Automatic Differentiation",
booktitle = "Acta Numerica",
VOLUME = "12",
YEAR = "2003",
PAGES = "321--398",
publisher = "Cambridge University Press",
doi = "10.1017/S0962492902000132",
abstract = "Automatic, or algorithmic, differentiation addresses the need for the accurate and
efficient calculation of derivative values in scientific computing. To this end procedural programs
for the evaluation of problem-specific functions are transformed into programs that also compute the
required derivative values at the same numerical arguments in floating point arithmetic.
Disregarding many important implementation issues, we examine in this article complexity bounds and
other more mathematical aspects of the program transformation task sketched above.",
ad_theotech = "General"