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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Vydáno v:Foundations of computational mathematics Ročník 1; číslo 2; s. 161
Hlavní autoři: Li, T Y, Li, Xing
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer Nature B.V 01.01.2001
ISSN:1615-3375, 1615-3383
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Shrnutí: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]
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ISSN:1615-3375
1615-3383
DOI:10.1007/s102080010005