BigRedNum.mpl
| swMATH ID: | 46192 |
| Software Authors: | Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M. |
| Description: | RedNum.mpl and BigRedNum.mpl: A Maple implementation of our new algorithm to compute absolute reduction number and big reduction number of a given polynomial ideal. Deterministically computing reduction numbers of polynomial ideals. We discuss the problem of determining reduction number of a polynomial ideal I in n variables. We present two algorithms based on parametric computations. The first one determines the absolute reduction number of I and requires computation in a polynomial ring with (n-dim(I))dim(I) parameters and n-dim(I) variables. The second one computes via a Grobner system the set of all reduction numbers of the ideal I and thus in particular also its big reduction number. However,it requires computations in a ring with n.dim(I) parameters and n variables. |
| Homepage: | https://amirhashemi.iut.ac.ir/softwares |
| Dependencies: | Maple |
| Related Software: | Deterministic.mpl; SINGULAR |
| Cited in: | 2 Documents |
Standard Articles
| 1 Publication describing the Software, including 1 Publication in zbMATH | Year |
|---|---|
|
Deterministically computing reduction numbers of polynomial ideals. Zbl 1416.68220 Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M. |
2014
|
Cited by 3 Authors
| 2 | Hashemi, Amir |
| 2 | Schweinfurter, Michael |
| 2 | Seiler, Werner M. |
Cited in 1 Serial
| 1 | Journal of Symbolic Computation |
Cited in 2 Fields
| 2 | Commutative algebra (13-XX) |
| 2 | Computer science (68-XX) |
