Mixed volume computation in parallel

DOI10.11650/tjm.18.2014.3276zbMath1357.52009OpenAlexW1995118726MaRDI QIDQ514652

Tianran Chen, Tien-Yien Li, Tsung-Lin Lee

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3276

zbMATH Keywords

clustermixed volumeparallel computingpolyhedral homotopymulti-core

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Linear programming (90C05) Mixed volumes and related topics in convex geometry (52A39)

Related Items (5)

Computing mixed volume and all mixed cells in quermassintegral time ⋮ Unmixing the mixed volume computation ⋮ Mixed cell computation in HOM4ps ⋮ Parallel degree computation for binomial systems ⋮ Seven mutually touching infinite cylinders

Uses Software

• DEMiCs
• MixedVol
• VortexCalculations

Cites Work

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• Dynamic enumeration of all mixed cells
• The \(n\)-body problem and mutual distances
• Mixed volume computation for semi-mixed systems
• Solving polynomial systems by polyhedral homotopies
• Algorithm 846
• Finiteness of stationary configurations of the four-vortex problem
• A Polyhedral Method for Solving Sparse Polynomial Systems
• Finding mixed cells in the mixed volume computation

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