Difference between revisions of "ApCoCoA-1:BB.BBasisForOI"
From ApCoCoAWiki
m (Bot: Category moved) |
m (insert version info) |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
<title>BB.BBasisForOI</title> | <title>BB.BBasisForOI</title> | ||
| Line 25: | Line 26: | ||
<type>ideal</type> | <type>ideal</type> | ||
</types> | </types> | ||
| − | <see>BB.BBasis</see> | + | <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see> |
| − | <see>BB.BBasisForMP</see> | + | <see>ApCoCoA-1:BB.BBasisForMP|BB.BBasisForMP</see> |
<key>BBasisForOI</key> | <key>BBasisForOI</key> | ||
<key>BB.BBasisForOI</key> | <key>BB.BBasisForOI</key> | ||
<key>borderbasis.BBasisForOI</key> | <key>borderbasis.BBasisForOI</key> | ||
| − | <wiki-category> | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> |
</command> | </command> | ||
Latest revision as of 09:39, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.BBasisForOI
Computes the border basis of an ideal w.r.t. a given order ideal.
Syntax
BB.BBasisForOI(F:LIST,OO:LIST):LIST
Description
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 border basis transformation algorithm. The inputs are a list of polynomials F and a list OO of terms that specify an order ideal. The output is a list of polynomials.
@param F Generators of a zero-dimensional ideal whose border basis should be computed.
@param OO A list of terms representing an order ideal.
@return A list of border basis polynomials.
Example
Use QQ[x,y]; BB.BBasisForOI([x^2, xy + y^2], [1,x,y,y^2]); [xy + y^2, x^2, y^3, xy^2] -------------------------------
