@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}
}
@InProceedings{buchberger_et_al:DagSemProc.05391.2,
author = {Buchberger, Bruno and Jansson, Christian and Oishi, Shin'ichi and Plum, Michael and Rump, Siegfried M.},
title = {{05391 Executive Summary – Numerical and Algebraic Algorithms and Computer-assisted Proofs}},
booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs},
pages = {1--5},
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.05391.2},
URN = {urn:nbn:de:0030-drops-4549},
doi = {10.4230/DagSemProc.05391.2},
annote = {Keywords: Self-validating methods, computer algebra, computer-assisted proofs, real number algorithms}
}
@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}
}
@InProceedings{fazekas_et_al:DagSemProc.05391.4,
author = {Fazekas, Borb\'{a}la and Plum, Michael and Wieners, Christian},
title = {{Enclosure for the Biharmonic Equation}},
booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs},
pages = {1--5},
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.05391.4},
URN = {urn:nbn:de:0030-drops-4489},
doi = {10.4230/DagSemProc.05391.4},
annote = {Keywords: Biharmonic problem, enclosure, finite elements}
}
@InProceedings{luther_et_al:DagSemProc.05391.5,
author = {Luther, Wolfram and Ha{\ss}linger, Gerhard and Auer, Ekaterina and Dyllong, Eva and Traczinski, Daniela and Traczinski, Holger},
title = {{Integration of reliable algorithms into modeling software}},
booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs},
pages = {1--17},
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.05391.5},
URN = {urn:nbn:de:0030-drops-4441},
doi = {10.4230/DagSemProc.05391.5},
annote = {Keywords: Reliable algorithms, stochastic traffic modeling, multibody modeling tools, geometric modeling}
}
@InProceedings{keil:DagSemProc.05391.6,
author = {Keil, Christian},
title = {{Lurupa - Rigorous Error Bounds in Linear Programming}},
booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs},
pages = {1--11},
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.05391.6},
URN = {urn:nbn:de:0030-drops-4458},
doi = {10.4230/DagSemProc.05391.6},
annote = {Keywords: Linear programming, rigorous error bounds, netlib, interval arithmetic}
}
@InProceedings{jansson:DagSemProc.05391.7,
author = {Jansson, Christian},
title = {{Rigorous Results in Combinatorial Optimization}},
booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs},
pages = {1--8},
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.05391.7},
URN = {urn:nbn:de:0030-drops-4467},
doi = {10.4230/DagSemProc.05391.7},
annote = {Keywords: Combinatorial Optimization, Semidefinite Programming, Ill-posed Problems, Verification Methods}
}
@InProceedings{demmel_et_al:DagSemProc.05391.8,
author = {Demmel, James and Dumitriu, Ioana and Holtz, Olga},
title = {{Toward accurate polynomial evaluation in rounded arithmetic (short report)}},
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.05391.8},
URN = {urn:nbn:de:0030-drops-4477},
doi = {10.4230/DagSemProc.05391.8},
annote = {Keywords: Accurate polynomial evaluation, models or rounded arithmetic}
}
@InProceedings{alefeld_et_al:DagSemProc.05391.9,
author = {Alefeld, G\"{o}tz and Wang, Zhengyu},
title = {{Verification of Solutions for Almost Linear Complementarity Problems}},
booktitle = {Algebraic and Numerical Algorithms and Computer-assisted Proofs},
pages = {1--21},
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.05391.9},
URN = {urn:nbn:de:0030-drops-4431},
doi = {10.4230/DagSemProc.05391.9},
annote = {Keywords: Complementarity problems, verification of solutions}
}
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