Difference between revisions of "Package borderbasis"
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== Example for computations == | == Example for computations == |
Revision as of 23:55, 17 November 2022
This article is about a function from ApCoCoA-2. If you are looking for the ApCoCoA-1 version of it, see Category:ApCoCoA-1:Package borderbasis. |
This page describes the borderbasis
package. The package contains various functions for computing with border bases of order ideals in a polynomial ring P=K[x_1,...,x_n] over a field K. We refer the book [M. Kreuzer and L. Robbiano, Computational Commutative Algebra 2, Springer-Verlag, Berlin, 2005] for more details about border bases. For a complete list of functions, see also Category:Package borderbasis.
The Global Alias of the package is BB
.
List of the main functions
IsOrderIdeal(OO): checks whether OO is an order ideal. input: OO a non-empty set of terms in K[x[1..N]] output: boolean value for checking OO being an order ideal
Border(OO): computes the border of an order ideal. input: list of terms output: list of terms in ascending order
Box(P,D): computes the 'box' order ideal of type D=[D1,..,DN]. input: list of integers D of length NumIndets(P), P=K[x[1..N]] output: list of terms (sorted w.r.t. current TO)
BBasisForOI(F,OO): computes the border basis of the ideal I=<F> with respect to the order ideal OO, gives an error messages if no border basis exists, uses the O_sigma(I) border basis and the BB transformation. input: list of poly F, list of terms OO output: list of poly
List of support functions
Example for computations
- See also: BB.Border