Module ateams.arithmetic.BuiltinWrapper

Functions

def Kernel(M, A)

Returns a basis for the kernel of A.

Args

M : MatrixReduction

A MatrixReduction object.

A : np.array

A 2D NumPy array to be reduced.

Returns

A 2D NumPy array representing the reduced basis of $\mathrm{ker}(A)$.

def KernelSample(M, A)

Draws a uniform random sample from the kernel of A using the MatrixReduction object M.

Args

M : MatrixReduction

Contains the RREF form of a matrix.

A : np.ndarray

2D NumPy array whose kernel is computed and sampled from.

Returns

A vector sampled at uniform random from the kernel of the matrix stored in M.