Linear programs and convex hulls over fields of puiseux fractions

Joswig, Michael; Loho, Georg; Lorenz, Benjamin; and Schröter, Benjamin (2016) Linear programs and convex hulls over fields of puiseux fractions. In: Mathematical Aspects of Computer and Information Sciences:Lecture Notes in Computer Science. Lecture Notes in Computer Science, 9582 . Springer Berlin / Heidelberg, pp. 429-445.
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We describe the implementation of a subfield of the field of formal Puiseux series in polymake. This is employed for solving linear programs and computing convex hulls depending on a real parameter. Moreover, this approach is also useful for computations in tropical geometry.

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