2 papers
math.AC2024
Learning to Compute Gröbner Bases
Hiroshi Kera, Yuki Ishihara, Yuta Kambe +2
Solving a polynomial system, or computing an associated Gröbner basis, has been a fundamental task in computational algebra. However, it is also known for its notorious doubly exp…
cs.SC2024
Comprehensive Systems for Primary Decompositions of Parametric Ideals
Yuki Ishihara, Kazuhiro Yokoyama
We present an effective method for computing parametric primary decomposition via comprehensive Gröbner systems. In general, it is very difficult to compute a parametric primary d…