Difference between revisions of "ApCoCoA-1:BB.LiftHomND"
From ApCoCoAWiki
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<command> | <command> | ||
<title>BB.LiftHomND</title> | <title>BB.LiftHomND</title> | ||
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<type>borderbasis</type> | <type>borderbasis</type> | ||
</types> | </types> | ||
| − | <see>BB.LiftAS</see> | + | <see>ApCoCoA-1:BB.LiftAS|BB.LiftAS</see> |
| − | <see>BB.LiftASViaServer</see> | + | <see>ApCoCoA-1:BB.LiftASViaServer|BB.LiftASViaServer</see> |
| − | <see>BB.LiftHomAS</see> | + | <see>ApCoCoA-1:BB.LiftHomAS|BB.LiftHomAS</see> |
| − | <see>BB.LiftND</see> | + | <see>ApCoCoA-1:BB.LiftND|BB.LiftND</see> |
| − | <see>BB.LiftNDViaServer</see> | + | <see>ApCoCoA-1:BB.LiftNDViaServer|BB.LiftNDViaServer</see> |
<key>LiftHomND</key> | <key>LiftHomND</key> | ||
<key>BB.LiftHomND</key> | <key>BB.LiftHomND</key> | ||
<key>borderbasis.LiftHomND</key> | <key>borderbasis.LiftHomND</key> | ||
| − | <wiki-category>Package_borderbasis</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> |
</command> | </command> | ||
Latest revision as of 09:42, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.LiftHomND
Computes the homogeneous border basis scheme ideal generators obtained from lifting of next-door neighbors.
Syntax
BB.LiftHomND(OO:LIST):LIST
Description
This command computes the generators of the border basis scheme ideal I(B^hom_O) that result from the lifting of next-door (ND) neighbors.
@param OO A list of terms representing an order ideal. The second element is of type POLY.
@return A list of generators of the homogeneous border basis scheme ideal. The polynomials will belong to the ring BBS=K[c_{ij}].
Example
Use QQ[x,y,z], DegRevLex; BB.LiftHomND([Poly(1), x, y, xy]); [BBS :: c[3,1]c[4,4] + c[2,1] - c[4,2], BBS :: c[2,1]c[4,5] + c[3,1] - c[4,3]] -------------------------------
