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BEYOND POLYHEDRAL HOMOTOPIES

Abstract : We present a new algorithmic framework which utilizes tropical geometry and homotopy continuation for solving systems of polynomial equations where some of the polynomials are generic elements in linear subspaces of the polynomial ring. This approach generalizes the polyhedral homotopies by Huber and Sturmfels.
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https://hal.inria.fr/hal-01829902
Contributor : Alain Monteil <>
Submitted on : Wednesday, July 4, 2018 - 1:50:16 PM
Last modification on : Wednesday, July 31, 2019 - 3:24:16 PM
Long-term archiving on: : Monday, October 1, 2018 - 2:33:07 PM

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Anton Leykin, Josephine Yu. BEYOND POLYHEDRAL HOMOTOPIES. MEGA 2017 - International Conference on Effective Methods in Algebraic Geometry, Jun 2017, Nice, France. ⟨hal-01829902⟩

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