BibTeX
@INCOLLECTION{
         Braconnier2002FRE,
       author = "Thierry Braconnier and Philippe Langlois",
       title = "From Rounding Error Estimation to Automatic Correction with {AD}",
       pages = "351--357",
       chapter = "42",
       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 = "Using automatic differentiation (AD) to estimate the propagation of rounding errors
         in numerical algorithms is classic. We propose a new application of AD to roundoff analysis
         providing an automatic correction of the first order effect of the elementary rounding errors. We
         present the main characteristics of this method and significant examples of its application to
         improve the accuracy of computed results and/or the stability of the algorithm."
}