Difference between revisions of "ApCoCoA-1:BB.CoeffOfBB"
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<type>coefficient</type> | <type>coefficient</type> | ||
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| − | <see>BB.BBscheme</see> | + | <see>ApCoCoA-1:BB.BBscheme|BB.BBscheme</see> |
| − | <see>BB.HomBBscheme</see> | + | <see>ApCoCoA-1:BB.HomBBscheme|BB.HomBBscheme</see> |
<key>CoeffOfBB</key> | <key>CoeffOfBB</key> | ||
<key>BB.CoeffOfBB</key> | <key>BB.CoeffOfBB</key> | ||
Revision as of 07:54, 7 October 2020
BB.CoeffOfBB
Computes the coefficient matrix of a border basis.
Syntax
BB.CoeffOfBB(BB:LIST,OO:LIST):MAT
Description
Computes the coefficient matrix of the OO-border basis BB of the ideal generated by the polynomials of BB. The output is a matrix.
@param BB A list of terms representing the OO-border basis of the ideal generated by the polynomials of BB.
@param OO A list of terms representing an order ideal.
@return The coefficient matrix.
Example
Use QQ[x,y];
BB.CoeffOfBB([xy^2, x^3 + xy, y^4, xy^3, x^2y^2, x^3y],
[1, y, y^2, y^3, x, xy, x^2, x^2y]);
-------------------------------
Mat([
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0]
])
-------------------------------
