Difference between revisions of "ApCoCoA-1:BB.GenMultMat"
From ApCoCoAWiki
Andraschko (talk | contribs) m (fixed link) |
m (insert version info) |
||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
<title>BB.GenMultMat</title> | <title>BB.GenMultMat</title> | ||
Latest revision as of 09:40, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.GenMultMat
Computes a generic multiplication matrix.
Syntax
BB.GenMultMat(I:INT,OO:LIST):MAT
Description
Computes the generic multiplication matrix for the I-th indeterminate with respect to an order ideal. The second element of OO must be a non-constant polynomial. The output is a matrix of size Len(OO) x Len(OO) over the ring BBS=K[c_{ij}].
@param I An integer which specifies the indeterminate for which the generic multiplication matrix will be computed.
@param OO A list of terms representing an order ideal.
@return The generic multiplication matrix.
Example
Use QQ[x, y, z], DegRevLex; BB.GenMultMat(1, [1, x, y, z]); ------------------------------- Mat([ [0, BBS :: c[1,6], BBS :: c[1,5], BBS :: c[1,3]], [1, BBS :: c[2,6], BBS :: c[2,5], BBS :: c[2,3]], [0, BBS :: c[3,6], BBS :: c[3,5], BBS :: c[3,3]], [0, BBS :: c[4,6], BBS :: c[4,5], BBS :: c[4,3]] ]) -------------------------------
