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An Implementation of Faugère's F4 Algorithm for Computing Gröbner Bases
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cabarcas, Daniel |
| Copyright Year | 2010 |
| Abstract | Gröbner bases are an important tool for analyzing systems of polynomial equations. They allow the system of equations to be solved exactly and therefore have gained popularity in many areas of science and technology. However, finding Gröbner bases is a computationally intensive task, thus, several algorithms have been developed for this goal. Faugère invented an elaborate algorithm to compute Gröbner bases in 1999 called F4, which has become a benchmark due to its efficiency. We have implemented F4 from scratch in C++. In this thesis we revisit the theoretical foundation of the algorithm, provide details of our implementation, and compare it with other software that computes Gröbner bases. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://etd.ohiolink.edu/!etd.send_file?accession=ucin1277120935&disposition=attachment |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |