Difference between revisions of "ApCoCoA-1:FGLM.FGLM"
From ApCoCoAWiki
m (Description update) |
KHiddemann (talk | contribs) (XML-style command references) |
||
| Line 10: | Line 10: | ||
FGLM Groebner Basis conversion. The Groebner Basis contained in list | FGLM Groebner Basis conversion. The Groebner Basis contained in list | ||
GBOld will be converted into a Groebner Basis with respect to term | GBOld will be converted into a Groebner Basis with respect to term | ||
| − | ordering < | + | ordering <ttref>Ord</ttref>(M), i.e. M must be a matrix specifying a |
term ordering. If the parameter M is not specified, CoCoA will assume M = | term ordering. If the parameter M is not specified, CoCoA will assume M = | ||
| − | + | <ttref>Ord</ttref>(). Please note that the resulting polynomials belong to | |
a different ring than the ones in GBOld. | a different ring than the ones in GBOld. | ||
Revision as of 15:51, 24 October 2007
FGLM
Perform a FGLM Groebner Basis conversion using ApCoCoAServer
Syntax
FGLM(GBOld:LIST, M:MAT):LIST FGLM(GBOld:LIST):LIST
Description
The function FGLM calls the ApCoCoAServer to perform a
FGLM Groebner Basis conversion. The Groebner Basis contained in list
GBOld will be converted into a Groebner Basis with respect to term ordering <ttref>Ord</ttref>(M), i.e. M must be a matrix specifying a term ordering. If the parameter M is not specified, CoCoA will assume M = <ttref>Ord</ttref>(). Please note that the resulting polynomials belong to a different ring than the ones in GBOld.
Example
Use Q[x, y, z], DegRevLex; GBOld := [z^4 -3z^3 - 4yz + 2z^2 - y + 2z - 2, yz^2 + 2yz - 2z^2 + 1, y^2 - 2yz + z^2 - z, x + y - z]; M := LexMat(3); GBNew := FGLM(GBOld, M); Use Q[x, y, z], Ord(M); -- New basis (Lex) BringIn(GBNew);
See also
