The Diamond Operator for Real Algebraic Numbers

Schmitt, Susanne

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The Diamond Operator for Real Algebraic Numbers

Schmitt, S.(2003). The Diamond Operator for Real Algebraic Numbers (ECG-TR-243107-01). Sophia Antipolis, FRANCE: Effective Computational Geometry for Curves and Surfaces.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-0019-EBB1-B Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-0019-EBB3-7

Genre: Bericht

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Urheber:
Schmitt, Susanne¹, Autor

Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019

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Zusammenfassung: Real algebraic numbers are real roots of polynomials with integral coefficients. They can be represented as expressions whose leaves are integers and whose internal nodes are additions, subtractions, multiplications, divisions, k-th root operations for integral k, or taking roots of polynomials whose coefficients are given by the value of subexpressions. This last operator is called the diamond operator. I explain the implementation of the diamond operator in a LEDA extension package.