@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}
}