From 25.09.05 to 30.09.05, the Dagstuhl Seminar 05391 ``Algebraic and Numerical Algorithms and Computer-assisted Proofs'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. Links to extended abstracts or full papers are provided, if available.
@InProceedings{buchberger_et_al:DagSemProc.05391.1, author = {Buchberger, Bruno and Oishi, Shin'ichi and Plum, Michael and Rump, Siegfried M.}, title = {{05391 Abstracts Collection – Algebraic and Numerical Algorithms and Computer-assisted Proofs}}, booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs}, pages = {1--15}, 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.05391.1}, URN = {urn:nbn:de:0030-drops-4555}, doi = {10.4230/DagSemProc.05391.1}, annote = {Keywords: Self-validating methods, computer algebra, computer-assisted proofs, real number algorithms} }
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