Linear programs and convex hulls over fields of puiseux fractions

Joswig, M., Loho, G., Lorenz, B. & Schröter, B. (2016). Linear programs and convex hulls over fields of puiseux fractions. In Kotsireas, I. S., Rump, S. M. & Yap, C. K. (Eds.), Mathematical Aspects of Computer and Information Sciences: Lecture Notes in Computer Science (pp. 429-445). Springer Berlin / Heidelberg.
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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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