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Documents authored by Decker, Wolfram

Document
DOI: 10.4230/DagSemProc.06271.1
06271 Abstracts Collection – Challenges in Symbolic Computation Software

Authors: Wolfram Decker, Mike Dewar, Erich Kaltofen, and Stephen M. Watt

Published in: Dagstuhl Seminar Proceedings, Volume 6271, Challenges in Symbolic Computation Software (2006)

Abstract
From 02.07.06 to 07.07.06, the Dagstuhl Seminar 06271 ``Challenges in Symbolic Computation Software'' 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. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Wolfram Decker, Mike Dewar, Erich Kaltofen, and Stephen M. Watt. 06271 Abstracts Collection – Challenges in Symbolic Computation Software. In Challenges in Symbolic Computation Software. Dagstuhl Seminar Proceedings, Volume 6271, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{decker_et_al:DagSemProc.06271.1,
  author =	{Decker, Wolfram and Dewar, Mike and Kaltofen, Erich and Watt, Stephen M.},
  title =	{{06271 Abstracts Collection – Challenges in Symbolic Computation Software}},
  booktitle =	{Challenges in Symbolic Computation Software},
  pages =	{1--16},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6271},
  editor =	{Wolfram Decker and Mike Dewar and Erich Kaltofen and Stephen Watt},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06271.1},
  URN =		{urn:nbn:de:0030-drops-7814},
  doi =		{10.4230/DagSemProc.06271.1},
  annote =	{Keywords: Symbolic computation, computer algebra, computational algebraic geometry, combinatorial methods in algebra, hybrid, symbolic-numerical methods, algorithm design, symbolic computation languages, systems and user interfaces}
}
Document
DOI: 10.4230/DagSemProc.06271.2
06271 Executive Summary - Challenges in Symbolic Computation Software

Authors: Wolfram Decker, Mike Dewar, Erich Kaltofen, and Stephen M. Watt

Published in: Dagstuhl Seminar Proceedings, Volume 6271, Challenges in Symbolic Computation Software (2006)

Abstract
Symbolic computation software allows mathematicians, scientists, engineers, or educators to deal with elaborate calculations using a computer. The applications range from introducing the experimental method in fields of pure mathematics to practical applications, for instance, in cryptology, robotics, or signal theory. The software includes mainstream commercial products such as Maple or Mathematica and highly specialized, public domain systems such as CoCoa, Macaulay2, or Singular. Symbolic computation software implements a variety of sophisticated algorithms on polynomials, matrices, combinatorial structures, and other mathematical objects in a multitude of different dense, sparse, or implicit (black box) representations. The subject of the seminar was innovation in algorithms and software, bringing algorithm designers, software builders, and software users together.
Cite as

Wolfram Decker, Mike Dewar, Erich Kaltofen, and Stephen M. Watt. 06271 Executive Summary - Challenges in Symbolic Computation Software. In Challenges in Symbolic Computation Software. Dagstuhl Seminar Proceedings, Volume 6271, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{decker_et_al:DagSemProc.06271.2,
  author =	{Decker, Wolfram and Dewar, Mike and Kaltofen, Erich and Watt, Stephen M.},
  title =	{{06271 Executive Summary - Challenges in Symbolic Computation Software}},
  booktitle =	{Challenges in Symbolic Computation Software},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6271},
  editor =	{Wolfram Decker and Mike Dewar and Erich Kaltofen and Stephen Watt},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06271.2},
  URN =		{urn:nbn:de:0030-drops-7778},
  doi =		{10.4230/DagSemProc.06271.2},
  annote =	{Keywords: Symbolic computation, computer algebra, computational algebraic geometry, combinatorial methods in algebra, hybrid symbolic-numerical methods, algori}
}
Document
DOI: 10.4230/DagSemRep.179
Computational Aspects of Commutative Algebra and Algebraic Geometry (Dagstuhl Seminar 9722)

Authors: Eberhard Becker, Wolfram Decker, David Eisenbud, Hendrik W. Lenstra, and Barry Trager

Published in: Dagstuhl Seminar Reports. Dagstuhl Seminar Reports, Volume 1 (2021)

Abstract
Cite as

Eberhard Becker, Wolfram Decker, David Eisenbud, Hendrik W. Lenstra, and Barry Trager. Computational Aspects of Commutative Algebra and Algebraic Geometry (Dagstuhl Seminar 9722). Dagstuhl Seminar Report 179, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (1999)

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@TechReport{becker_et_al:DagSemRep.179,
  author =	{Becker, Eberhard and Decker, Wolfram and Eisenbud, David and Lenstra, Hendrik W. and Trager, Barry},
  title =	{{Computational Aspects of Commutative Algebra and Algebraic Geometry (Dagstuhl Seminar 9722)}},
  pages =	{1--15},
  ISSN =	{1619-0203},
  year =	{1999},
  type = 	{Dagstuhl Seminar Report},
  number =	{179},
  institution =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemRep.179},
  URN =		{urn:nbn:de:0030-drops-150668},
  doi =		{10.4230/DagSemRep.179},
}
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