de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Conference Paper

The diamond operator - Implementation of exact real algebraic numbers

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45404

Schmitt,  Susanne
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)
There are no public fulltexts available
Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-27F0-7
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.