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  The diamond operator - Implementation of exact real algebraic numbers

Schmitt, S. (2005). The diamond operator - Implementation of exact real algebraic numbers. In Computer Algebra in Scientific Computing, 8th International Workshop, CASC 2005 (pp. 355-366). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-27F0-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-27F2-3
Genre: Conference Paper

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 Creators:
Schmitt, Susanne1, Author           
Ganzha, Victor G., Editor
Mayr, Ernst W., Editor
Vorozhtsov, Evgenii V., Editor
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: The LEDA number type real is extended by the diamond operator, which allows to compute exactly with real algebraic numbers given as roots of polynomials. The coefficients of these polynomials can be arbitrary real algebraic numbers. The two important steps of the implementation (isolating interval computation and approximation) are described. Experiments with two other existing implementations of real algebraic numbers (CORE, EXACUS) show that the implementation is comparable with CORE and is more general than CORE or EXACUS.

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Language(s): eng - English
 Dates: 2006-06-132005
 Publication Status: Issued
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 Identifiers: eDoc: 279134
Other: Local-ID: C1256428004B93B8-0BF8BC50D43BC010C1256FB2003F191A-Schmitt2005
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Title: Untitled Event
Place of Event: Kalamata, Greece
Start-/End Date: 2005-09-12

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Title: Computer Algebra in Scientific Computing, 8th International Workshop, CASC 2005
Source Genre: Proceedings
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Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 355 - 366 Identifier: ISBN: 3-540-28966-6

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: 3718 Sequence Number: - Start / End Page: - Identifier: -