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Beyond Polyhedral Homotopies (1706.03520v1)
Published 12 Jun 2017 in math.AG and cs.SC
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.