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author | Paul Zimmermann <Paul.Zimmermann@inria.fr> | 2018-06-13 11:07:43 +0200 |
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committer | Paul Zimmermann <Paul.Zimmermann@inria.fr> | 2018-06-13 11:07:43 +0200 |
commit | bb5b089b79b12e60b35c04ba9b3a496cccfa4411 (patch) | |
tree | 162ce70caf50770c48a7d465d5bfdaeb0704eb33 | |
parent | cad9be9a4990b9bab4494175580ebfcdc1635a38 (diff) | |
download | mpc-git-bb5b089b79b12e60b35c04ba9b3a496cccfa4411.tar.gz |
added reference for complex square root
-rw-r--r-- | doc/algorithms.bib | 16 | ||||
-rw-r--r-- | doc/algorithms.tex | 2 |
2 files changed, 17 insertions, 1 deletions
diff --git a/doc/algorithms.bib b/doc/algorithms.bib index 18f3e98..8e468bf 100644 --- a/doc/algorithms.bib +++ b/doc/algorithms.bib @@ -96,3 +96,19 @@ HAL_VERSION = {v1}, note = {2nd edition, which contains a chapter on complex numbers} } + +@inproceedings{jeannerod:ensl-01780265, + TITLE = {{On the relative error of computing complex square roots in floating-point arithmetic}}, + AUTHOR = {Jeannerod, Claude-Pierre and Muller, Jean-Michel}, + URL = {https://hal-ens-lyon.archives-ouvertes.fr/ensl-01780265}, + BOOKTITLE = {{ACSSC 2017 - 51st Asilomar Conference on Signals, Systems, and Computers}}, + ADDRESS = {Pacific Grove, United States}, + PUBLISHER = {{IEEE}}, + PAGES = {1-4}, + YEAR = {2017}, + MONTH = Oct, + DOI = {10.1109/ACSSC.2017.8335442}, + PDF = {https://hal-ens-lyon.archives-ouvertes.fr/ensl-01780265/file/asilomar17.pdf}, + HAL_ID = {ensl-01780265}, + HAL_VERSION = {v1}, +} diff --git a/doc/algorithms.tex b/doc/algorithms.tex index 7129454..b79be41 100644 --- a/doc/algorithms.tex +++ b/doc/algorithms.tex @@ -2425,7 +2425,7 @@ $k_R$ and $k_I$ will most likely not change with a larger precision. So one should let $k' = \max (k_R, k_I)$, replace $N$ by $N + k'$ and adapt the precision and number of iterations accordingly. -\nocite{Baudin11,Stewart85,Priest04,muller:hal-01766584} +\nocite{Baudin11,Stewart85,Priest04,muller:hal-01766584,jeannerod:ensl-01780265} \bibliographystyle{acm} \bibliography{algorithms} |