Implementing real polyhedral homotopy

التفاصيل البيبلوغرافية
العنوان: Implementing real polyhedral homotopy
المؤلفون: Lee, Kisun, Lindberg, Julia, Rodriguez, Jose Israel
المصدر: J. Softw. Alg. Geom. 14 (2024) 59-71
سنة النشر: 2022
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Combinatorics, Mathematics - Numerical Analysis, 65H14
الوصف: We implement a real polyhedral homotopy method using three functions. The first function provides a certificate that our real polyhedral homotopy is applicable to a given system; the second function generates binomial systems for a start system; the third function outputs target solutions from the start system obtained by the second function. This work realizes the theoretical contributions in \cite{ergur2019polyhedral} as easy to use functions, allowing for further investigation into real homotopy algorithms.
Comment: 13 pages, 1 figure, Version to appear in Journal of Software for Algebra and Geometry
نوع الوثيقة: Working Paper
DOI: 10.2140/jsag.2024.14.59
URL الوصول: http://arxiv.org/abs/2207.05323
رقم الأكسشن: edsarx.2207.05323
قاعدة البيانات: arXiv