@InProceedings{langlois_et_al:DagSemProc.05391.3, author = {Langlois, Philippe and Graillat, Stef and Louvet, Nicolas}, title = {{Compensated Horner Scheme}}, booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2006}, volume = {5391}, editor = {Bruno Buchberger and Shin'ichi Oishi and Michael Plum and Sigfried M. Rump}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05391.3}, URN = {urn:nbn:de:0030-drops-4423}, doi = {10.4230/DagSemProc.05391.3}, annote = {Keywords: Polynomial evaluation, Horner scheme, error-free transformation, floating point arithmetic, accuracy} }