Difference between revisions of "ApCoCoA-1:FGLM.FGLM"
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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 <tt>Ord(M)</tt>, i.e. M must be a matrix specifying a | + | ordering <tt>[[CoCoA4.7:Ord|Ord]](M)</tt>, i.e. M must be a matrix specifying a |
| − | term ordering. Please note that the resulting polynomials belong to | + | term ordering. If the parameter M is not specified, CoCoA will assume M = |
| − | a different ring than the ones in GBOld | + | [[CoCoA4.7:Ord|Ord]](). Please note that the resulting polynomials belong to |
| − | + | a different ring than the ones in GBOld. | |
<example> | <example> | ||
Revision as of 10:13, 16 October 2007
FGLM
Perform a FGLM Groebner Basis conversion
Syntax
FGLM(GBOld:LIST, M:MAT):LIST FGLM(GBOld:LIST):LIST
Description
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 Ord(M), i.e. M must be a matrix specifying a term ordering. If the parameter M is not specified, CoCoA will assume M = Ord(). 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
