Difference between revisions of "CoCoA:FGLM5"
From ApCoCoAWiki
m (Short description update) |
KHiddemann (talk | contribs) (XML-style command references) |
||
| Line 9: | Line 9: | ||
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 16:23, 24 October 2007
FGLM5
Perform a FGLM Groebner Basis conversion using CoCoAServer
Description
This function is implemented in ApCoCoALib by Stefan Kaspar(requires an active CoCoAServer).
The function FGLM calls the CoCoAServer 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 := FGLM5(GBOld, M); Use Q[x, y, z], Ord(M); -- New basis (Lex) BringIn(GBNew);
Syntax
FGLM5(GBOld:LIST, M:MAT):LIST FGLM5(GBOld:LIST):LIST
<type>groebner</type> <type>ideal</type> <type>list</type> <type>cocoaserver</type>
