Finding Mixed Cells in the Mixed Volume Computation

In practice, finding mixed cells in certain polyhedral subdivisions plays a dominating role when a polyhedral homotopy is employed to approximate all isolated zeros of polynomial systems. This paper gives a new algorithm for the mixed cell computation via a new formulation of the underlying linear p...

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Veröffentlicht in:Foundations of computational mathematics Jg. 1; H. 2; S. 161
Hauptverfasser: Li, T Y, Li, Xing
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer Nature B.V 01.01.2001
ISSN:1615-3375, 1615-3383
Online-Zugang:Volltext
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Zusammenfassung:In practice, finding mixed cells in certain polyhedral subdivisions plays a dominating role when a polyhedral homotopy is employed to approximate all isolated zeros of polynomial systems. This paper gives a new algorithm for the mixed cell computation via a new formulation of the underlying linear programming problems. Numerical results show that the algorithm provides a major advance in the speed of computation with much less memory requirements.[PUBLICATION ABSTRACT]
Bibliographie:SourceType-Scholarly Journals-1
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ISSN:1615-3375
1615-3383
DOI:10.1007/s102080010005