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- W1875880716 abstract "A renewed algorithm is presented to calculate the mixed volume of the support ${cal A}=({cal A}_1,dots,{cal A}_n)$ of a polynomial system $P({bf x})=(p_1({bf x}),dots, p_n({bf x}))$ in $Bbb C^n$. The key ingredient is a specially tailored application of LP feasibility tests, which allows us to calculate the mixed cells, their volumes constituting the mixed volume, in a mixed subdivision of ${cal A}$ more efficiently. The problem of finding mixed cells plays a crucial role in polyhedral homotopy methods for finding all isolated zeros of $P({bf x})$. Our new algorithm advances the speed of mixed volume computation by a considerable margin, illustrated by numerical examples." @default.
- W1875880716 created "2016-06-24" @default.
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- W1875880716 date "2000-12-01" @default.
- W1875880716 modified "2023-10-16" @default.
- W1875880716 title "MIXED VOLUME COMPUTATION VIA LINEAR PROGRAMMING" @default.
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- W1875880716 doi "https://doi.org/10.11650/twjm/1500407294" @default.
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