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authorzimmerma <zimmerma@211d60ee-9f03-0410-a15a-8952a2c7a4e4>2009-06-09 01:32:03 +0000
committerzimmerma <zimmerma@211d60ee-9f03-0410-a15a-8952a2c7a4e4>2009-06-09 01:32:03 +0000
commitab71cad5e70dd7e36c67d128f16ee5ad06a97e2c (patch)
tree36febc5c3cf7db429590e6c935839f17e8f83726
parent176f0916b29018f276945ee6b4b85f2e42d08ca5 (diff)
downloadmpc-ab71cad5e70dd7e36c67d128f16ee5ad06a97e2c.tar.gz
[algorithms.tex] added reference
git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@579 211d60ee-9f03-0410-a15a-8952a2c7a4e4
-rw-r--r--doc/algorithms.bib11
-rw-r--r--doc/algorithms.tex4
2 files changed, 14 insertions, 1 deletions
diff --git a/doc/algorithms.bib b/doc/algorithms.bib
index 2aa7b58..d02aecd 100644
--- a/doc/algorithms.bib
+++ b/doc/algorithms.bib
@@ -20,3 +20,14 @@
number = 4,
pages = {359--367}
}
+
+@Book{BrDiJeLeMeMuReStTo09,
+ author = {Nicolas Brisebarre and Florent de Dinechin and
+ Claude-Pierre Jeannerod and Vincent Lef\`evre and
+ Guillaume Melquiond and Jean-Michel Muller and Nathalie
+ Revol and Damien Stehl\'e and Serge Torres},
+ title = {Handbook of Floating-Point Arithmetic},
+ publisher = {Birkh\"auser},
+ year = 2009,
+ note = {571 pages}
+}
diff --git a/doc/algorithms.tex b/doc/algorithms.tex
index 1f89e01..792be4a 100644
--- a/doc/algorithms.tex
+++ b/doc/algorithms.tex
@@ -628,7 +628,9 @@ and thus a primitive $16$-th root of unity, which is impossible.
\end {enumerate}
\end {proof}
-
+A relevant reference is \cite{BrDiJeLeMeMuReStTo09}, especially Section 4.5
+which discusses complex floating-point numbers, and gives error bounds for
+multiplication, division and square root.
\bibliographystyle{acm}
\bibliography{algorithms}