ApCoCoA-1:BB.CoeffOfBB

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]
])
-------------------------------

BB.BBscheme

BB.HomBBscheme